On the Analytical and Computational Methodologies for Modelling Two-wheeled Vehicles within the Multibody Dynamics Framework: A Systematic Literature Review

Document Type : Review Paper


Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 132, Fisciano, 84084, Salerno, Italy


In this paper, a literature review on two-wheeled vehicle systems is methodically performed and presented. For this purpose, the principal aspects concerning the kinematic, dynamic, control, and identification features of articulated mechanical systems described within the multibody formulation approach are emphasized in this review article. First, the scientific investigations on two-wheeled vehicle modelling are chronologically described employing a historical literature review approach. This is done to set a consistent context for the subsequent developments analyzed in the paper. Then, following the systematic literature review methodology described in this work, a rich corpus of relevant documents in the time span between 2013-present. Moreover, bibliometric methods are used to construct the conceptual structure map of the research field, which also allowed for formulating a thematic classification. Thus, considering the full-texts of the identified corpus of documents, this work presents a synthetic analysis of the fundamental issues about the multibody approaches for modelling two-wheeled vehicles. Finally, future research perspectives are pointed out in this article


Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

[1] Saccon, A., Hauser, J., An efficient Newton method for general motorcycle kinematics, Vehicle System Dynamics, 2009, 47(2), 221–241.
[2] Guo, N., Jiang, R., Wong, S., Hao, Q.Y., Xue, S.Q., Hu, M.B., Bicycle flow dynamics on wide roads: Experiments and simulation, Transportation research part C: emerging technologies, 2021, 125, 103012.
[3] Tanelli, M., Corno, M., Savaresi, S.M., eds., Modelling, Simulation and Control of Two-Wheeled Vehicles, John Wiley & Sons, Ltd, Chichester, UK, 2014.
[4] Huang, Y., Liang, W., Chen, Y., Stability regions of vehicle lateral dynamics: Estimation and analysis, Journal of Dynamic Systems, Measurement, and Control, 2021, 143(5).
[5] Prince, P., Al-Jumaily, A., Bicycle steering and roll responses, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2012, 226(2), 95–107.
[6] Fenre, M.D., Klein-Paste, A., Bicycle rolling resistance under winter conditions, Cold Regions Science and Technology, 2021, 187, 103282.
[7] Chen, C.K., Dao, T.K., Speed-adaptive roll-angle-tracking control of an unmanned bicycle using fuzzy logic, Vehicle System Dynamics, 2010, 48(1), 133–147.
[8] García-Agúndez, A., García-Vallejo, D., Freire, E., Linearization approaches for general multibody systems validated through stability analysis of a benchmark bicycle model, Nonlinear Dynamics, 2021, 103(1), 557–580.
[9] Chu, T.D., Chen, C.K., Modelling and model predictive control for a bicycle-rider system, Vehicle System Dynamics, 2018, 56(1), 128–149.
[10] Huang, L., An approach for bicycle’s kinematic analysis, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2017, 231(1), 278–284.
[11] Nehaoua, L., Arioui, H., Seguy, N., Mammar, S., Dynamic modelling of a two-wheeled vehicle: Jourdain formalism, Vehicle System Dynamics, 2013, 51(5), 648–670.
[12] Chen, J., Li, K., Li, K., Yu, P.S., Zeng, Z., Dynamic planning of bicycle stations in dockless public bicycle-sharing system using gated graph neural network, ACM Transactions on Intelligent Systems and Technology (TIST), 2021, 12(2), 1–22.
[13] Klug, S., Moia, A., Verhagen, A., Görges, D., Savaresi, S., The influence of bicycle fork bending on brake control, Vehicle System Dynamics, 2019, 3114, 1–21.
[14] Mao, G., Hou, T., Liu, X., Zuo, J., Kiyawa, A.H.I., Shi, P., Sandhu, S., How can bicycle-sharing have a sustainable future? a research based on life cycle assessment, Journal of Cleaner Production, 2021, 282, 125081.
[15] Damon, P.M., Ichalal, D., Arioui, H., Steering and Lateral Motorcycle Dynamics Estimation: Validation of Luenberger LPV Observer Approach, IEEE Transactions on Intelligent Vehicles, 2019, 4(2), 277–286.
[16] Wierbos, M.J., Knoop, V., Hänseler, F., Hoogendoorn, S., A macroscopic flow model for mixed bicycle–car traffic, Transportmetrica A: transport science, 2021, 17(3), 340–355.
[17] Slimi, H., Arioui, H., Nouveliere, L., Mammar, S., Motorcycle speed profile in cornering situation, Proceedings of the 2010 American Control Conference, IEEE, 1172–1177.
[18] Zouzias, D., De Bruyne, G., Ní Annaidh, A., Trotta, A., Ivens, J., The effect of the scalp on the effectiveness of bicycle helmets’ anti-rotational acceleration technologies, Traffic injury prevention, 2021, 22(1), 51–56.
[19] Kooijman, J., Schwab, A., A review on bicycle and motorcycle rider control with a perspective on handling qualities, Vehicle System Dynamics, 2013, 51(11), 1722–1764.
[20] Doria, A., Formentini, M., Tognazzo, M., Experimental and numerical analysis of rider motion in weave conditions, Vehicle System Dynamics, 2012, 50(8), 1247–1260.
[21] Popov, A.A., Rowell, S., Meijaard, J.P., A review on motorcycle and rider modelling for steering control, Vehicle System Dynamics, 2010, 48(6), 775–792.
[22] Griffin, J.W., Popov, A.A., Multibody dynamics simulation of an all-wheel-drive motorcycle for handling and energy efficiency investigations, Vehicle System Dynamics, 2018, 56(7), 983–1001.
[23] Schwab, A.L., Meijaard, J.P., A review on bicycle dynamics and rider control, Vehicle System Dynamics, 2013, 51(7), 1059–1090.
[24] Lot, R., Fleming, J., Gyroscopic stabilisers for powered two-wheeled vehicles, Vehicle System Dynamics, 2019, 57(9), 1381–1406.
[25] Limebeer, D.J.N., Sharp, R.S., Evangelou, S., The stability of motorcycles under acceleration and braking, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2001, 215(9), 1095–1109.
[26] Cossalter, V., Lot, R., Maggio, F., The Modal Analysis of a Motorcycle in Straight Running and on a Curve, Meccanica, 2004, 39(1), 1–16.
[27] Milani, S., Marzbani, H., Azad, N.L., Melek, W., Jazar, R.N., The importance of equation η= µn 2 in dimensional analysis and scaled vehicle experiments in vehicle dynamics, Vehicle System Dynamics, 2021, 1–30.
[28] Tomiati, N., Colombo, A., Magnani, G., A nonlinear model of bicycle shimmy, Vehicle System Dynamics, 2019, 57(3), 315–335.
[29] Manrique, C., Pappalardo, C.M., Guida, D., A model validating technique for the kinematic study of two-wheeled vehicles, Grabchenko’s International Conference on Advanced Manufacturing Processes, Springer, 549–558.
[30] Pappalardo, C.M., Lettieri, A., Guida, D., A general multibody approach for the linear and nonlinear stability analysis of bicycle systems. part i: Methods of constrained dynamics, Journal of Applied and Computational Mechanics, 2021, 7(2), 655–670.
[31] Pappalardo, C.M., Lettieri, A., Guida, D., A general multibody approach for the linear and nonlinear stability analysis of bicycle systems. part ii: Application to the whipple-carvallo bicycle model, Journal of Applied and Computational Mechanics, 2021, 7(2), 671–700.
[32] Genta, G., Motor Vehicle Dynamics: Modeling and Simulation, vol. 43 of Series on Advances in Mathematics for Applied Sciences, WORLD SCIENTIFIC, 1997.
[33] Astrom, K., R.E. Klein, A. Lennartsson, Klein, R., Lennartsson, A., Bicycle dynamics and control: adapted bicycles for education and research, IEEE Control Systems, 2005, 25(4), 26–47.
[34] Frosali, G., Ricci, F., Kinematics of a bicycle with toroidal wheels, Communications in Applied and Industrial Mathematics, 2012, 3(1), 24.
[35] Zhang, Y., Li, J., Yi, J., Song, D., Balance control and analysis of stationary riderless motorcycles, 2011 IEEE International Conference on Robotics and Automation, IEEE, 3018–3023.
[36] Cossalter, V., Lot, R., Massaro, M., An advanced multibody code for handling and stability analysis of motorcycles, Meccanica, 2011, 46(5), 943–958.
[37] Sharma, A., Stability analysis of bicycles and motorcycles : a control theoretic perspective, Ph.D. thesis, Imperial College London, London, United Kingdom, 2010.
[38] Herlihy, D.V., Bicycle: The History, Yale University Press, 2004.
[39] Cain, S.M., Perkins, N.C., Comparison of experimental data to a model for bicycle steady-state turning, Vehicle System Dynamics, 2012, 50(8), 1341–1364.
[40] Prince, J., An investigation into bicycle performance and design, Ph.D. thesis, Auckland University of Technology, Auckland, New Zealand, 2014.
[41] Zhang, S.p., Tak, T.o., A design sensitivity analysis of bicycle stability and experimental validation, Journal of Mechanical Science and Technology, 2020, 34(9), 3517–3524.
[42] Bonisoli, E., Lisitano, D., Dimauro, L., Peroni, L., A Proposal of Dynamic Behaviour Design Based on Mode Shape Tracing: Numerical Application to a Motorbike Frame, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 4, 2020, 149–158.
[43] Paudel, M., Yap, F.F., Development of an improved design methodology and front steering design guideline for small-wheel bicycles for better stability and performance, Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology, 2020, 234(3), 227–244.
[44] Sharma, A., Limebeer, D.J.N., Dynamic stability of an aerodynamically efficient motorcycle, Vehicle System Dynamics, 2012, 50(8), 1319–1340.
[45] Plöchl, M., Edelmann, J., Angrosch, B., Ott, C., On the wobble mode of a bicycle, Vehicle System Dynamics, 2012, 50(3), 415–429.
[46] Klinger, F., Nusime, J., Edelmann, J., Plöchl, M., Wobble of a racing bicycle with a rider hands on and hands off the handlebar, Vehicle System Dynamics, 2014, 52(sup1), 51–68.
[47] Kaul, S., Influence of a Vibration Isolation System on Planar Dynamics of a Motorcycle, The International Journal of Acoustics and Vibration, 2020, 25(1), 96–103.
[48] Cain, S.M., An experimental investigation of human/bicycle dynamics and rider skill in children and adults, Ph.D. thesis, University of Michigan, Michigan, 2013.
[49] Kooijman, J.D.G., Bicycle rider control: observations, modeling & experiments, Ph.D. thesis, Delft University of Technology, Delft, Netherlands, 2012.
[50] Jones, D.E.H., The stability of the bicycle, Physics Today, 1970, 23(4), 34–40.
[51] Sharp, R., Evangelou, S., Limebeer, D., Advances in the Modelling of Motorcycle Dynamics, Multibody System Dynamics, 2004, 12(3), 251–283.
[52] Singhania, S., Kageyama, I., Karanam, V.M., Study on Low-Speed Stability of a Motorcycle, Applied Sciences, 2019, 9(11), 2278.
[53] Singhania, S., Kageyama, I., Karanam, V.M., Steering control to balance a motorcycle at low speeds based on riders’ input, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2020, 234(12), 2892–2904.
[54] Salvati, L., d’Amore, M., Fiorentino, A., Pellegrino, A., Sena, P., Villecco, F., Development and testing of a methodology for the assessment of acceptability of lka systems, Machines, 2020, 8(3), 47.
[55] Salvati, L., d’Amore, M., Fiorentino, A., Pellegrino, A., Sena, P., Villecco, F., On-road detection of driver fatigue and drowsiness during mediumdistance journeys, Entropy, 2021, 23(2), 135.
[56] Sanjurjo, E., Naya, M.A., Cuadrado, J., Schwab, A.L., Roll angle estimator based on angular rate measurements for bicycles, Vehicle System Dynamics, 2019, 57(11), 1705–1719.
[57] Savino, G., Lot, R., Massaro, M., Rizzi, M., Symeonidis, I., Will, S., Brown, J., Active safety systems for powered two-wheelers: A systematic review, Traffic Injury Prevention, 2020, 21(1), 78–86.
[58] Lucci, C., Marra, M., Huertas-Leyva, P., Baldanzini, N., Savino, G., Investigating the feasibility of motorcycle autonomous emergency braking (MAEB): Design criteria for new experiments to field test automatic braking, MethodsX, 2021, 8(September 2020), 101225.
[59] Hima, S., Nehaoua, L., Seguy, N., Arioui, H., Motorcycle Dynamic Model Synthesis for Two Wheeled Driving Simulator, 2007 IEEE Intelligent Transportation Systems Conference, IEEE, 812–817.
[60] James, S.R., Lateral Dynamics of an Offroad Motorcycle by System Identification, Vehicle System Dynamics, 2002, 38(1), 1–22.
[61] Saccon, A., Hauser, J., Beghi, A., A Virtual Rider for Motorcycles: Maneuver Regulation of a Multi-Body Vehicle Model, IEEE Transactions on Control Systems Technology, 2013, 21(2), 332–346.
[62] Zhu, S., Murakami, S., Nishimura, H., Motion analysis of a motorcycle taking into account the rider’s effects, Vehicle System Dynamics, 2012, 50(8), 1225–1245.
[63] Haas, S., Dück, M., Winkler, A., Grabmair, G., Oberpeilsteiner, S., Free Multibody Cosimulation Based Prototyping of Motorcycle Rider Assistance Systems, SAE Technical Paper, SAE International, Minneapolis, Minnesota, 1–12.
[64] Limebeer, D.J.N., Sharp, R.S., Evangelou, S., Motorcycle Steering Oscillations due to Road Profiling, Journal of Applied Mechanics, 2002, 69(6), 724–739.
[65] Sharp, R.S., Limebeer, D.J., A Motorcycle Model for Stability and Control Analysis, Multibody System Dynamics, 2001, 6(2), 123–142.
[66] Sharp, R.S., Stability, Control and Steering Responses of Motorcycles, Vehicle System Dynamics, 2001, 35(4-5), 291–318.
[67] Zhang, Y., Yi, J., Dynamic modeling and balance control of human/bicycle systems, 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, IEEE, 1385–1390.
[68] Cossalter, V., Doria, A., Garbin, S., Lot, R., Frequency-domain method for evaluating the ride comfort of a motorcycle, Vehicle System Dynamics, 2006, 44(4), 339–355.
[69] Kaul, S., Dhingra, A.K., Engine mount optimisation for vibration isolation in motorcycles, Vehicle System Dynamics, 2009, 47(4), 419–436.
[70] Robledo-Ricardo, L.A., Nonlinear Stochastic Analysis of Motorcycle Dynamics, Ph.D. thesis, Rice University, Texas, USA, 2013.
[71] Kaul, S., Planar Dynamics of a Motorcycle: Influence of Vibration Isolation System Nonlinearity, The International Journal of Acoustics and Vibration, 2020, 25(4), 597–608.
[72] Huang, C.F., Tung, Y.C., Lu, H.T., Yeh, T.J., Balancing control of a bicycle-riding humanoid robot with center of gravity estimation, Advanced Robotics, 2018, 32(17), 918–929.
[73] Lake, K., Thomas, R., Williams, O., The influence of compliant chassis components on motorcycle dynamics: an historical overview and the potential future impact of carbon fibre, Vehicle System Dynamics, 2012, 50(7), 1043–1052.
[74] Mavroudakis, B., Eberhard, P., Analysis of alternative front suspension systems for motorcycles, Vehicle System Dynamics, 2006, 44(sup1), 679–689.
[75] Cossalter, V., Lot, R., A Motorcycle Multi-Body Model for Real Time Simulations Based on the Natural Coordinates Approach, Vehicle System Dynamics, 2002, 37(6), 423–447.
[76] Barbagallo, R., Sequenzia, G., Oliveri, S., Cammarata, A., Dynamics of a high-performance motorcycle by an advanced multibody/control cosimulation, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2016, 230(2), 207–221.
[77] Olds, T., Modelling Human Locomotion, Sports Medicine, 2001, 31(7), 497–509.
[78] Pappalardo, C.M., A natural absolute coordinate formulation for the kinematic and dynamic analysis of rigid multibody systems, Nonlinear Dynamics, 2015, 81(4), 1841–1869.
[79] Pappalardo, C.M., Guida, D., On the Lagrange multipliers of the intrinsic constraint equations of rigid multibody mechanical systems, Archive of Applied Mechanics, 2018, 88(3), 419–451.
[80] Pappalardo, C., Guida, D., On the Computational Methods for Solving the Differential-Algebraic Equations of Motion of Multibody Systems, Machines, 2018, 6(2), 20.
[81] Lot, R., Lio, M.D., A Symbolic Approach for Automatic Generation of the Equations of Motion of Multibody Systems, Multibody System Dynamics, 2004, 12(2), 147–172.
[82] Sayers, M.W., Vehicle Models for RTS Applications, Vehicle System Dynamics, 1999, 32(4-5), 421–438.
[83] Meijaard, J.P., Popov, A.A., Numerical Continuation of Solutions and Bifurcation Analysis in Multibody Systems Applied to Motorcycle Dynamics, Nonlinear Dynamics, 2006, 43(1-2), 97–116.
[84] Meijaard, J.P., Popov, A.A., Multi-body modelling and analysis into the non-linear behaviour of modern motorcycles, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2007, 221(1), 63–76.
[85] Sharp, R.S., On the Stability and Control of the Bicycle, Applied Mechanics Reviews, 2008, 61(6).
[86] Karanam, V.M., Chatterjee, A., Common underlying steering curves for motorcycles in steady turns, Vehicle System Dynamics, 2011, 49(6), 931–948.
[87] Sharp, R.S., Watanabe, Y., Chatter vibrations of high-performance motorcycles, Vehicle System Dynamics, 2013, 51(3), 393–404.
[88] Jonker, J.B., Meijaard, J.P., SPACAR — Computer Program for Dynamic Analysis of Flexible Spatial Mechanisms and Manipulators, Multibody Systems Handbook, Springer Berlin Heidelberg, Berlin, Heidelberg, 1990, 123–143.
[89] Meijaard, J., Papadopoulos, J.M., Ruina, A., Schwab, A., Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007, 463(2084), 1955–1982.
[90] Bulsink, V.E., Doria, A., van de Belt, D., Koopman, B., The effect of tyre and rider properties on the stability of a bicycle, Advances in Mechanical Engineering, 2015, 7(12), 168781401562259.
[91] Bruni, S., Meijaard, J.P., Rill, G., Schwab, A.L., State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches, Multibody System Dynamics, 2020, 49(1), 1–32.
[92] Corno, M., Panzani, G., Savaresi, S.M., Single-Track Vehicle Dynamics Control: State of the Art and Perspective, IEEE/ASME Transactions on Mechatronics, 2015, 20(4), 1521–1532.
[93] Garziad, M., Review on Dynamics, Control and Stability of Two Wheeled Vehicle, International Journal of Mechanical Engineering, 2019, 6(7), 1–7.
[94] Rankine, W.J.M., On the dynamical principles of the motion of velocipedes, The Engineer, 1869, 28(79), 129.
[95] Whipple, F.J., The stability of the motion of a bicycle, Quarterly Journal of Pure and Applied Mathematics, 1899, 30(120), 312–321.
[96] Carvallo, E., Théorie du movement du monocycle, part 2: Théorie de la bicyclette, J. Ec. Polytech. Paris, 1901, 6, 1–118.
[97] Timoshenko, S., Young, D.H., Advanced dynamics, McGraw-Hill Book Co., New York, 1948.
[98] Döehring, E., Über die stabilität und die lenkkräfte von einspurfahrzeugen, Ph.D. thesis, Technische Universität Braunschweig, Braunschweig, Germany, 1953.
[99] Neimark, J.I., Fufaev, N.A., Dynamics of Nonholonomic Systems, Translations of Mathematical Monographs, 33, American Mathematical Society, 1972.
[100] Dikarev, E., Dikareva, S., Fufaev, N., Effect of inclination of steering axis and of stagger of the front wheel on stability of motion of a bicycle, Izv. Akad. Nauk SSSR Mekh. Tverd. Tela, 1981, 16, 69–73.
[101] Hand, R.S., Comparisons and stability analysis of linearized equations of motion for a basic bicycle model, Master’s thesis, Cornell University, Ithaca (NY), 1988.
[102] Sharp, R.S., The Stability and Control of Motorcycles, Journal of Mechanical Engineering Science, 1971, 13(5), 316–329.
[103] Roland, R.D., Lynch, J.P., Bicycle dynamics: Tire characteristics and rider modeling, Tech. rep., Cornell Aeronautical Laboratory, Buffalo (NY), 1972, (Technical Report YA-3063-K-2).
[104] Roland, R.D., Computer simulation of bicycle dynamics, Proceedings of the ASME Symposium Mechanics and Sport, 35–83.
[105] Sharp, R.S., The Influence of Frame Flexibility on the Lateral Stability of Motorcycles, Journal of Mechanical Engineering Science, 1974, 16(2), 117–120.
[106] Jennings, G., A Study of Motorcycle Suspension Damping Characteristics, National West Coast Meeting, SAE International, United States.
[107] Sharp, R.S., The Influence of the Suspension System on Motorcycle Weave-mode Oscillations, Vehicle System Dynamics, 1976, 5(3), 147–154.
[108] Kane, T.R., Fundamental kinematical relationships for single-track vehicles, International Journal of Mechanical Sciences, 1975, 17(8), 499–504.
[109] Kane, T.R., Steady Turning of Single-Track Vehicles, International Automotive Engineering Congress and Exposition, SAE International, Cobo Hall, Detroit.
[110] Man, G.K., Kane, T.R., Steady Turning of Two-Wheeled Vehicles, Automotive Engineering Congress and Exposition, SAE International, 715–735.
[111] Basu-Mandal, P., Studies on the dynamics and stability of bicycles, Ph.D. thesis, Indian Institute of Science, Bangalore, India, 2007.
[112] Basu-Mandal, P., Chatterjee, A., Papadopoulos, J., Hands-free circular motions of a benchmark bicycle, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007, 463(2084), 1983–2003.
[113] Kane, T.R., The Effect of Frame Flexibility on High Speed Weave of Motorcycles, Automotive Engineering Congress and Exposition, SAE International, 1389–1396.
[114] Roe, G.E., Theory of Castor Oscillations, Journal of Mechanical Engineering Science, 1973, 15(5), 379–381.
[115] Roe, G.E., Thorpe, T.E., Experimental Investigation of the Parameters Affecting the Castor Stability of Road Wheels, Journal of Mechanical Engineering Science, 1973, 15(5), 365–369.
[116] Roe, G.E., Thorpe, T.E., A Solution of the Low-Speed Wheel Flutter Instability in Motorcycles, Journal of Mechanical Engineering Science, 1976, 18(2), 57–65.
[117] Roe, G.E., Pickering, W.M., Zinober, A., The Oscillations of a Flexible Castor, and the Effect of Front Fork Flexibility on the Stability of Motorcycles, Automotive Engineering Congress and Exposition, SAE Transactions, 1397–1408.
[118] Sharp, R.S., A Review of Motorcycle Steering Behavior and Straight Line Stability Characteristics, Automotive Engineering Congress and Exposition, SAE International.
[119] Sharp, R.S., Alstead, C.J., The Influence of Structural Flexibilities on the Straight-running Stability of Motorcycles, Vehicle System Dynamics, 1980, 9(6), 327–357.
[120] Sharp, R.S., Jones, C.J., The Straight-running Stability of Single Track Vehicles, Vehicle System Dynamics, 1977, 6(2-3), 190–191.
[121] Verma, M.K., Scott, R.A., Segel, L., Effect of Frame Compliance on the Lateral Dynamics of Motorcycles, Vehicle System Dynamics, 1980, 9(4), 181–206.
[122] Splerings, P.T.J., The Effects of Lateral Front Fork Flexibility on the Vibrational Modes of Straight-Running Single-Track Vehicles, Vehicle System Dynamics, 1981, 10(1), 21–35.
[123] Giles, C., Sharp, R., Static and dynamic stiffness and deflection mode measurements on a motorcycle, with particular reference to steering behaviour, Road Vehicle Handling, I Mech E Conference Publications, C128/83, 185–192.
[124] Giles, C.G., Motorcycle steering behaviour, Ph.D. thesis, University of Leeds, Leeds, United Kingdom, 1985.
[125] Raines, M., Thorpe, T.E., The Relationship between Twist Axis and Effective Torsional Stiffness of a Motorcycle Frame, Proceedings of the Institution of Mechanical Engineers, Part D: Transport Engineering, 1986, 200(1), 69–73.
[126] Koenen, C., Pacejka, H.B., Vibrational modes of motorcycles in curves, Tech. rep., Motorcycle Safety Foundation, Nat. Highway Traffic Saf. Admin, Washington (DC), 1980, (Tech. Rep. HS-029 684).
[127] Koenen, C., Pacejka, H.B., The Influence of Frame Elasticity and Simple Rider Body Dynamics on Free Vibrations of Motorcycles in Curves, Vehicle System Dynamics, 1981, 10(2-3), 70–73.
[128] Koenen, C., The dynamic behaviour of a motorcycle when running straight ahead and when cornering, Ph.D. thesis, Delft University of Technology, Delft, Netherlands, 1983.
[129] Sharp, R.S., The Lateral Dynamics of Motorcycles and Bicycles, Vehicle System Dynamics, 1985, 14(4-6), 265–283.
[130] Nishimi, T., Aoki, A., Katayama, T., Analysis of Straight Running Stability of Motorcycles, 10th International Technical Conference on Experimental Safety Vehicles, SAE International, United States, 1080–1094.
[131] Katayama, T., Aoki, A., Nishimi, T., Control Behaviour of Motorcycle Riders, Vehicle System Dynamics, 1988, 17(4), 211–229.
[132] Pacejka, H., Sharp, R., Shear Force Development by Pneumatic Tyres in Steady State Conditions: A Review of Modelling Aspects, Vehicle System Dynamics, 1991, 20(3-4), 121–175.
[133] Bakker, E., Nyborg, L., Pacejka, H.B., Tyre Modelling for Use in Vehicle Dynamics Studies, SAE Technical Paper, SAE International, Detroit, Michigan.
[134] Bakker, E., Pacejka, H.B., Lidner, L., A New Tire Model with an Application in Vehicle Dynamics Studies, Autotechnologies Conference and Exposition, SAE International, United States, 83–95.
[135] Pacejka, H.B., Bakker, E., The Magic Formula tyre model, Vehicle System Dynamics, 1992, 21(sup001), 1–18.
[136] de Vries, E., Pacejka, H., Motorcycle tyre measurements and models, Vehicle System Dynamics, 1998, 29(sup1), 280–298.
[137] Sharp, R.S., Vibrational modes of motorcycles and their design parameter sensitivities, Vehicle NVH and Refinement, vol. 3, Mechanical Engineering Publications, 107–122.
[138] Sharp, R.S., The Application of Multi-Body Computer Codes to Road Vehicle Dynamics Modelling Problems, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 1994, 208(1), 55–61.
[139] Gani, M., Sharp, R., Limebeer, D., Multi-body simulation software in the study of two-wheeled road vehicles, Proceedings of 35th IEEE Conference on Decision and Control, vol. 3, IEEE, 2804–2805.
[140] Gani, M., Limebeer, D., Sharp, R., Multi-Body Simulation Software in the Analysis of Motorcycle Dynamics, IFAC Proceedings Volumes, 1997, 30(8), 227–232.
[141] Gani, M.R., The computer assisted modelling, simulation and analysis of two-wheeled road vehicles, Ph.D. thesis, Imperial College London, London, United Kingdom, 1999.
[142] Sayers, M.W., Symbolic computer methods to automatically formulate vehicle simulation codes, Ph.D. thesis, University of Michigan, Michigan (USA), 1990.
[143] Sayers, M.W., Symbolic computer language for multibody systems, Journal of Guidance, Control, and Dynamics, 1991, 14(6), 1153–1163.
[144] Sayers, M., AUTOSIM, Vehicle System Dynamics, 1993, 22(sup1), 53–56.
[145] Imaizumi, H., Fujioka, T., Omae, M., Rider model by use of multibody dynamics analysis, JSAE Review, 1996, 17(1), 75–77.
[146] Imaizumi, H., Fujioka, T., Motorcycle-rider system dynamics by multibody dynamics analysis — Effects of the rear load on wobble motions and the control assembly, JSAE Review, 1997, 18(2), 201.
[147] Imaizumi, H., Fujioka, T., Motorcycle-rider system dynamics by multibody dynamics analysis: Effects of the rear load on wobble motions and the control assembly, JSAE Review, 1998, 19(1), 54–57.
[148] Cossalter, V., Doria, A., Lot, R., Steady Turning of Two-Wheeled Vehicles, Vehicle System Dynamics, 1999, 31(3), 157–181.
[149] Cossalter, V., Da Lio, M., Lot, R., Fabbri, L., A General Method for the Evaluation of Vehicle Manoeuvrability with Special Emphasis on Motorcycles, Vehicle System Dynamics, 1999, 31(2), 113–135.
[150] Sharp, R.S., Dynamics of Motorcycles: Stability and Control, Dynamical Analysis of Vehicle Systems, vol. 497 of CISM International Centre for Mechanical Sciences, Springer, Vienna, 2009, 183–230.
[151] Lot, R., A Motorcycle Tire Model for Dynamic Simulations: Theoretical and Experimental Aspects, Meccanica, 2004, 39(3), 207–220.
[152] Cossalter, V., Motorcycle dynamics, Race Dynamics, Milwaukee (USA), 2002.
[153] Tezuka, Y., Application of the magic formula tire model to motorcycle maneuverability analysis, JSAE Review, 2001, 22(3), 305–310.
[154] Pacejka, H., Tire and Vehicle Dynamics, Butterworth Heinemann, 2012.
[155] Cossalter, V., Doria, A., Lot, R., Ruffo, N., Salvador, M., Dynamic Properties of Motorcycle and Scooter Tires: Measurement and Comparison, Vehicle System Dynamics, 2003, 39(5), 329–352.
[156] Cossalter, V., Lot, R., Massaro, M., The influence of frame compliance and rider mobility on the scooter stability, Vehicle System Dynamics, 2007, 45(4), 313–326.
[157] Evangelou, S., Limebeer, D.J.N., Sharp, R.S., Smith, M.C., Control of motorcycle steering instabilities, IEEE Control Systems, 2006, 26(5), 78–88.
[158] Evangelou, S., Limebeer, D.J.N., Sharp, R.S., Smith, M.C., Mechanical Steering Compensators for High-Performance Motorcycles, Journal of Applied Mechanics, 2007, 74(2), 332–346.
[159] Le Henaff, Y., Dynamical stability of the bicycle, European Journal of Physics, 1987, 8(3), 207–210.
[160] Franke, G., Suhr, W., Riess, F., An advanced model of bicycle dynamics, European Journal of Physics, 1990, 11(2), 116–121.
[161] Good, McPhee, Dynamics of mountain bicycles with rear suspensions: modelling and simulation, Sports Engineering, 1999, 2(3), 129–143.
[162] Fajans, J., Steering in bicycles and motorcycles, American Journal of Physics, 2000, 68(7), 654–659.
[163] Getz, N., Control of balance for a nonlinear nonholonomic non-minimum phase model of a bicycle, Proceedings of 1994 American Control Conference - ACC ’94, vol. 1, IEEE, Baltimore, MD, USA, 148–151.
[164] Beznos, A., Formal’sky, A., Gurfinkel, E., Jicharev, D., Lensky, A., Savitsky, K., Tchesalin, L., Control of autonomous motion of two-wheel bicycle with gyroscopic stabilisation, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146), vol. 3, IEEE, Leuven, Belgium, 2670–2675.
[165] Limebeer, D.J.N., Sharp, R.S., Bicycles, motorcycles, and models, IEEE Control Systems, 2006, 26(5), 34–61.
[166] Kooijman, J.D.G., Schwab, A.L., Meijaard, J.P., Experimental validation of a model of an uncontrolled bicycle, Multibody System Dynamics, 2008, 19(1-2), 115–132.
[167] Katayama, T., Nishimi, T., Energy Flow Method for the Study of Motorcycle Wobble Mode, Vehicle System Dynamics, 1990, 19(3), 151–175.
[168] Marumo, Y., Katayama, T., Analysis of Motorcycle Weave Mode by using Energy Flow Method, Journal of Mechanical Systems for Transportation and Logistics, 2009, 2(2), 157–169.
[169] Sharp, R.S., Optimal stabilization and path-following controls for a bicycle, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2007, 221(4), 415–427.
[170] Moore, J., Hubbard, M., Parametric Study of Bicycle Stability (P207), The Engineering of Sport 7, Springer Paris, Paris, 2008, 311–318.
[171] Kooijman, J.D.G., Meijaard, J.P., Papadopoulos, J.M., Ruina, A., Schwab, A.L., A Bicycle Can Be Self-Stable Without Gyroscopic or Caster Effects, Science, 2011, 332(6027), 339–342.
[172] Moore, J.K., Kooijman, J.D.G., Schwab, A.L., Hubbard, M., Rider motion identification during normal bicycling by means of principal component analysis, Multibody System Dynamics, 2011, 25(2), 225–244.
[173] Schwab, A.L., Meijaard, J.P., Kooijman, J.D., Lateral dynamics of a bicycle with a passive rider model: stability and controllability, Vehicle System Dynamics, 2012, 50(8), 1209–1224.
[174] Lot, R., Massaro, M., Sartori, R., Advanced motorcycle virtual rider, Vehicle System Dynamics, 2008, 46(sup1), 215–224.
[175] Cossalter, V., Lot, R., Massaro, M., The chatter of racing motorcycles, Vehicle System Dynamics, 2008, 46(4), 339–353.
[176] Massaro, M., Lot, R., Cossalter, V., Brendelson, J., Sadauckas, J., Numerical and experimental investigation of passive rider effects on motorcycle weave, Vehicle System Dynamics, 2012, 50(sup1), 215–227.
[177] Evangelou, S., Limebeer, D.J.N., Tomas Rodriguez, M., Influence of Road Camber on Motorcycle Stability, Journal of Applied Mechanics, 2008, 75(6).
[178] Limebeer, D.J.N., Sharma, A., Burst Oscillations in the Accelerating Bicycle, Journal of Applied Mechanics, 2010, 77(6).
[179] Evangelou, S.A., Limebeer, D.J.N., Tomas-Rodriguez, M., Suppression of Burst Oscillations in Racing Motorcycles, Journal of Applied Mechanics, 2013, 80(1).
[180] Nakagawa, S., Samarasinghe, G., Haddaway, N.R., Westgate, M.J., O’Dea, R.E., Noble, D.W., Lagisz, M., Research Weaving: Visualizing the Future of Research Synthesis, Trends in Ecology & Evolution, 2019, 34(3), 224–238.
[181] Linnenluecke, M.K., Marrone, M., Singh, A.K., Conducting systematic literature reviews and bibliometric analyses, Australian Journal of Management, 2020, 45(2), 175–194.
[182] Tranfield, D., Denyer, D., Smart, P., Towards a Methodology for Developing Evidence-Informed Management Knowledge by Means of Systematic Review, British Journal of Management, 2003, 14(3), 207–222.
[183] Cook, D.J., Systematic Reviews: Synthesis of Best Evidence for Clinical Decisions, Annals of Internal Medicine, 1997, 126(5), 376.
[184] Xiao, Y., Watson, M., Guidance on Conducting a Systematic Literature Review, Journal of Planning Education and Research, 2019, 39(1), 93–112.
[185] Moher, D., Liberati, A., Tetzlaff, J., Altman, D.G., Preferred reporting items for systematic reviews and meta-analyses: The PRISMA statement, International Journal of Surgery, 2010, 8(5), 336–341.
[186] Aria, M., Cuccurullo, C., bibliometrix : An R-tool for comprehensive science mapping analysis, Journal of Informetrics, 2017, 11(4), 959–975.
[187] Corno, M., Giani, P., Tanelli, M., Savaresi, S.M., Human-in-the-Loop Bicycle Control via Active Heart Rate Regulation, IEEE Transactions on Control Systems Technology, 2015, 23(3), 1029–1040.
[188] Doria, A., Tognazzo, M., Cusimano, G., Bulsink, V., Cooke, A., Koopman, B., Identification of the mechanical properties of bicycle tyres for modelling of bicycle dynamics, Vehicle System Dynamics, 2013, 51(3), 405–420.
[189] Dabladji, M.E.h., Ichalal, D., Arioui, H., Mammar, S., Unknown-input observer design for motorcycle lateral dynamics: TS approach, Control Engineering Practice, 2016, 54, 12–26.
[190] Sequenzia, G., Oliveri, S.M., Fatuzzo, G., Calì, M., An advanced multibody model for evaluating rider’s influence on motorcycle dynamics, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2015, 229(2), 193–207.
[191] Wang, E.X., Zou, J., Xue, G., Liu, Y., Li, Y., Fan, Q., Development of Efficient Nonlinear Benchmark Bicycle Dynamics for Control Applications, IEEE Transactions on Intelligent Transportation Systems, 2015, 16(4), 2236–2246.
[192] Doria, A., Tognazzo, M., The influence of the dynamic response of the rider’s body on the open-loop stability of a bicycle, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2014, 228(17), 3116–3132.
[193] Souh, B., Influence of tire side forces on bicycle self-stability, Journal of Mechanical Science and Technology, 2015, 29(8), 3131–3140.
[194] Doria, A., Favaron, V., Taraborrelli, L., Roa, S., Parametric analysis of the stability of a bicycle taking into account geometrical, mass and compliance properties, International Journal of Vehicle Design, 2017, 75(1/2/3/4), 91.
[195] Doria, A., Roa Melo, S.D., On the influence of tyre and structural properties on the stability of bicycles, Vehicle System Dynamics, 2018, 56(6), 947–966.
[196] Doria, A., Roa, S., Muñoz, L., Stability analysis of bicycles by means of analytical models with increasing complexity, Mechanical Sciences, 2019, 10(1), 229–241.
[197] Massaro, M., Cossalter, V., Cusimano, G., The effect of the inflation pressure on the tyre properties and the motorcycle stability, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2013, 227(10), 1480–1488.
[198] Cossalter, V., Doria, A., Giolo, E., Taraborrelli, L., Massaro, M., Identification of the characteristics of motorcycle and scooter tyres in the presence of large variations in inflation pressure, Vehicle System Dynamics, 2014, 52(10), 1333–1354.
[199] Doria, A., Taraborrelli, L., Out-of-plane vibrations and relaxation length of the tyres for single-track vehicles, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2016, 230(5), 609–622.
[200] Ballo, F., Gobbi, M., Mastinu, G., Previati, G., Motorcycle Tire Modeling for the Study of Tire–Rim Interaction, Journal of Mechanical Design, 2016, 138(5).
[201] Cossalter, V., Doria, A., Massaro, M., Taraborrelli, L., Experimental and numerical investigation on the motorcycle front frame flexibility and its effect on stability, Mechanical Systems and Signal Processing, 2015, 60-61, 452–471.
[202] Doria, A., Taraborrelli, L., The twist axis of frames with particular application to motorcycles, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2016, 230(17), 3026–3039.
[203] Schröter, K., Pleß, R., Seiniger, P., Vehicle Dynamics Control Systems for Motorcycles, Handbook of Driver Assistance Systems, Springer International Publishing, Cham, 2016, 969–1006.
[204] Wu, Y.C., Chang, C.W., Development of 3-speed rear hub bicycle transmissions with gear-shifting mechanisms, Transactions of the Canadian Society for Mechanical Engineering, 2015, 39(3), 407–418.
[205] Corno, M., Panzani, G., Catenaro, E., Savaresi, S.M., Modeling and analysis of a bicycle equipped with in-wheel suspensions, Mechanical Systems and Signal Processing, 2021, 155, 107548.
[206] Maier, O., Györfi, B., Wrede, J., Kasper, R., Design and validation of a multi-body model of a front suspension bicycle and a passive rider for braking dynamics investigations, Multibody System Dynamics, 2018, 42(1), 19–45.
[207] de J. Lozoya-Santos, J., Cervantes-Muñoz, D., Tudón-Martínez, J.C., Ramírez-Mendoza, R.A., Off-Road Motorbike Performance Analysis Using a Rear Semiactive EH Suspension, Shock and Vibration, 2015, 2015, 1–13.
[208] Khadr, A., Houidi, A., Romdhane, L., Design and optimization of a semi-active suspension system for a two-wheeled vehicle using a full multibody model, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2017, 231(4), 630–646.
[209] Moreno-Ramírez, C., García-Fernández, P., De-Juan, A., Tomas-Rodríguez, M., Interconnected Suspension System on Sport Motorcycles, Mechanisms and Machine Science, vol. 17, 2014, 9–16.
[210] Moreno-Ramírez, C., Tomas-Rodriguez, M., Non linear optimization of a sport motorcycle’s suspension interconnection system, 2014 UKACC International Conference on Control (CONTROL), July, IEEE, 319–324.
[211] Moreno-Ramírez, C., Dynamic Analysis of Alternative Suspension Systems for Sport Motorcycles, Ph.D. thesis, City University London, London, United Kingdom, 2015.
[212] Moreno Ramírez, C., Tomás-Rodríguez, M., Evangelou, S.A., Dynamic analysis of double wishbone front suspension systems on sport motorcycles, Nonlinear Dynamics, 2018, 91(4), 2347–2368.
[213] Bonci, A., Longhi, S., Scala, G.A., Towards an All-Wheel Drive Motorcycle: Dynamic Modeling and Simulation, IEEE Access, 2020, 8, 112867–112882.
[214] Passas, P., Natsiavas, S., Paraskevopoulos, E., Numerical integration of multibody dynamic systems involving nonholonomic equality constraints, Nonlinear Dynamics, 2021, 105(2), 1191–1211.
[215] Boyer, F., Porez, M., Mauny, J., Reduced Dynamics of the Non-holonomic Whipple Bicycle, Journal of Nonlinear Science, 2018, 28(3), 943–983.
[216] Haddout, S., A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints, Journal of Geometry and Physics, 2018, 123, 495–506.
[217] Limebeer, D.J.N., Massaro, M., Dynamics and Optimal Control of Road Vehicles, Oxford University Press, 2018.
[218] Zhang, Y., Zhao, G., Li, H., Multibody dynamic modeling and controlling for unmanned bicycle system, ISA Transactions, 2021.
[219] Escalona, J.L., Recuero, A.M., A bicycle model for education in multibody dynamics and real-time interactive simulation, Multibody System Dynamics, 2012, 27(3), 383–402.
[220] Escalona, J.L., Kłodowski, A., Muñoz, S., Validation of multibody modeling and simulation using an instrumented bicycle: from the computer to the road, Multibody System Dynamics, 2018, 43(4), 297–319.
[221] Turnwald, A., Liu, S., A Nonlinear Bike Model for Purposes of Controller and Observer Design, IFAC-PapersOnLine, 2018, 51(2), 391–396.
[222] Bloch, A., Nonholonomic Mechanics and Control, vol. 24 of Interdisciplinary Applied Mathematics, Springer New York, New York, USA, 2015.
[223] Xiong, J., Wang, N., Liu, C., Stability analysis for the Whipple bicycle dynamics, Multibody System Dynamics, 2020, 48(3), 311–335.
[224] Xiong, J., Wang, N., Liu, C., Bicycle dynamics and its circular solution on a revolution surface, Acta Mechanica Sinica, 2020, 36(1), 220–233.
[225] Tomiati, N., Magnani, G., Marcon, M., An experimental investigation of the bicycle motion during a hands-on shimmy, Vehicle System Dynamics, 2020, 1–17.
[226] Leonelli, L., Mancinelli, N., A multibody motorcycle model with rigid-ring tyres: formulation and validation, Vehicle System Dynamics, 2015, 53(6), 775–797.
[227] Ajmi, H., Aymen, K., Lotfi, R., Dynamic modeling and handling study of a two-wheeled vehicle on a curved track, Mechanics & Industry, 2017, 18(4), 409.
[228] Cossalter, V., Sadauckas, J., Elaboration and quantitative assessment of manoeuvrability for motorcycle lane change, Vehicle System Dynamics, 2006, 44(12), 903–920.
[229] Sorrentino, S., Leonelli, L., A study on the stability of a motorcycle wheel–swingarm suspension with chain transmission, Vehicle System Dynamics, 2017, 55(11), 1707–1730.
[230] Leonelli, L., Cattabriga, S., Sorrentino, S., Driveline instability of racing motorcycles in straight braking manoeuvre, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2018, 232(17), 3045–3061.
[231] Cattabriga, S., De Felice, A., Sorrentino, S., Patter instability of racing motorcycles in straight braking manoeuvre, Vehicle System Dynamics, 2019, 1–23.
[232] Vallim, M.d.B., Dos Santos, J.M.C., Costa, A.L.A., Motorcycle Analytical Modeling Including Tire–Wheel Nonuniformities for Ride Comfort Analysis, Tire Science and Technology, 2017, 45(2), 101–120.
[233] Doria, A., Marconi, E., Munoz, L., Polanco, A., Suarez, D., An experimental-numerical method for the prediction of on-road comfort of city bicycles, Vehicle System Dynamics, 2020, 0(0), 1–21.
[234] Ferretti, G., Scaglioni, B., Rossi, A., Multibody Model of a Motorbike with a Flexible Swingarm, 10th International ModelicaConference, Lund, Sweden, 273–282.
[235] Arunachalam, M., Mondal, C., Singh, G., Karmakar, S., Motorcycle riding posture: A review, Measurement, 2019, 134, 390–399.
[236] Schwab, A., de Lange, P., Happee, R., Moore, J.K., Rider control identification in bicycling using lateral force perturbation tests, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2013, 227(4), 390–406.
[237] Wang, P., Yi, J., Liu, T., Stability and Control of a Rider–Bicycle System: Analysis and Experiments, IEEE Transactions on Automation Science and Engineering, 2020, 17(1), 348–360.
[238] Dialynas, G., de Haan, J.W., Schouten, A.C., Happee, R., Schwab, A.L., The dynamic response of the bicycle rider’s body to vertical, fore-and-aft and lateral perturbations, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2020, 234(7), 1944–1957.
[239] Doria, A., Tognazzo, M., Cossalter, V., The response of the rider’s body to roll oscillations of two wheeled vehicles; experimental tests and biomechanical models, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2013, 277(4), 561–576.
[240] Shafiekhani, A., Mahjoob, M., Akraminia, M., Design and implementation of an adaptive critic-based neuro-fuzzy controller on an unmanned bicycle, Mechatronics, 2015, 28, 115–123.
[241] Baquero-Suárez, M., Cortés-Romero, J., Arcos-Legarda, J., Coral-Enriquez, H., Correction to: A robust two-stage active disturbance rejection control for the stabilization of a riderless bicycle, Multibody System Dynamics, 2019, 46(1), 107–107.
[242] Leonelli, L., Limebeer, D.J.N., Optimal control of a road racing motorcycle on a three-dimensional closed track, Vehicle System Dynamics, 2020, 58(8), 1285–1309.
[243] Kim, Y., Kim, H., Lee, J., Stable control of the bicycle robot on a curved path by using a reaction wheel, Journal of Mechanical Science and Technology, 2015, 29(5), 2219–2226.
[244] Park, S.h., Yi, S.y., Active Balancing Control for Unmanned Bicycle Using Scissored-pair Control Moment Gyroscope, International Journal of Control, Automation and Systems, 2020, 18(1), 217–224.
[245] Tofigh, M., Mahjoob, M., Hanachi, M., Ayati, M., Fractional sliding mode control for an autonomous two-wheeled vehicle equipped with an innovative gyroscopic actuator, Robotics and Autonomous Systems, 2021, 140, 103756.
[246] Zhang, Y., Song, K., Yi, J., Huang, P., Duan, Z., Zhao, Q., Absolute Attitude Estimation of Rigid Body on Moving Platform Using Only Two Gyroscopes and Relative Measurements, IEEE/ASME Transactions on Mechatronics, 2018, 23(3), 1350–1361.
[247] Romualdi, L., Mancinelli, N., De, F., Sorrentino, S., A new application of the Extended Kalman Filter to the estimation of roll angles of a motorcycle with Inertial Measurement Unit, FME Transactions, 2020, 48(2), 255–265.
[248] Vasquez, F., Lot, R., Rustighi, E., Pegoraro, R., Tyre forces estimation for off-road motorcycles, Mechanical Systems and Signal Processing, 2021, 150, 107228.
[249] Hung, N.B., Lim, O., A review of history, development, design and research of electric bicycles, Applied Energy, 2020, 260(December 2019), 114323.
[250] Ba Hung, N., Jaewon, S., Lim, O., A study of the effects of input parameters on the dynamics and required power of an electric bicycle, Applied Energy, 2017, 204, 1347–1362.
[251] Marinov, M., Valchev, V., Stoyanov, R., Andreev, P., An Approach to the Electrical Sizing of The Electric Motorcycle Drive, 2018 20th International Symposium on Electrical Apparatus and Technologies (SIELA), IEEE, Bourgas, Bulgaria, 1–4.
[252] Hieu, L.t., Khoa, N.X., Lim, O., An Investigation on the Effects of Input Parameters on the Dynamic and Electric Consumption of Electric Motorcycles, Sustainability, 2021, 13(13), 7285.
[253] Drummond, E., Condro, P., Cotton, B., Cox, C., Pinegar, A., Vickery, K., Prins, R., Design and Construction of an Electric Motorcycle, 2019 Systems and Information Engineering Design Symposium (SIEDS), IEEE, 1–6.
[254] Matsuda, Y., Murase, T., Kawai, D., The Feasibility Study of a Design Concept of Electric Motorcycle, SAE Technical Papers, vol. 2015-Septe.
[255] LeBel, F.A., Pelletier, L., Messier, P., Trovao, J.P., Battery Pack Sizing Method - Case Study of an Electric Motorcycle, 2018 IEEE Vehicle Power and Propulsion Conference (VPPC), IEEE, 1–6.
[256] Caliwag, A.C., Lim, W., Hybrid VARMA and LSTM Method for Lithium-ion Battery State-of-Charge and Output Voltage Forecasting in Electric Motorcycle Applications, IEEE Access, 2019, 7, 59680–59689.
[257] Abu Hanifah, R., Toha, S.F., Mohamad Hanif, N.H.H., Kamisan, N.A., Electric Motorcycle Modeling for Speed Tracking and Range Travelled Estimation, IEEE Access, 2019, 7, 26821–26829.
[258] Farzaneh, A., Farjah, E., Analysis of Road Curvature’s Effects on Electric Motorcycle Energy Consumption, Energy, 2018, 151, 160–166.
[259] Farzaneh, A., Farjah, E., A Novel Smart Energy Management System in Pure Electric Motorcycle Using COA, IEEE Transactions on Intelligent Vehicles, 2019, 4(4), 600–608.
[260] Yao, D., Fan, G., Zhang, C., Jiang, J., Wu, F., Design and Simulation of An Energy Management Algorithm for Extended-Range Electric Bicycles, Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering, vol. 13, 211–214.
[261] Guanetti, J., Formentin, S., Corno, M., Savaresi, S.M., Optimal energy management in series hybrid electric bicycles, Automatica, 2017, 81, 96–106.
[262] Alcazar, M., Perez, J., Mata, J., Cabrera, J., Castillo, J., Motorcycle final drive geometry optimization on uneven roads, Mechanism and Machine Theory, 2020, 144, 103647.