[1] Ding, Z., Li, L., Hu, Y., Li, X., Deng, W., State-space based time integration method for structural systems involving multiple nonviscous damping models, Computers & Structures, 171, 2016, 31-45.
[2] Chopra, A., Dynamics of Structures, 4th ed. Pearson, 2011.
[3] Lakes, R., Materials with structural hierarchy, Nature, 361, 1993, 511–515.
[4] Huang, Y., Sturt, R., Willford, M., A damping model for nonlinear dynamic analysis providing uniform damping over a frequency range, Computers & Structures, 212, 2019, 101-109.
[5] Lazan, B., Damping of materials and members in structural mechanics, Oxford Pergamon Press, New York, 1968.
[6] Maia, N., Reflections on the Hysteretic Damping Model, Shock and Vibration, 16(5), 2009, 529-542.
[7] Humar, J., Dynamics of Structures, 3rd ed. CRC Press, 2012.
[8] Kimball, A., Lovell, D., Internal Friction in Solids, Physical Review, 30(6), 1927, 948-959.
[9] Bishop, R., The Treatment of Damping Forces in Vibration Theory, The Journal of the Royal Aeronautical Society, 59, 1955, 738-742.
[10] Bishop, R., Johnson, D., The mechanics of vibration, Cambridge University Press, Cambridge, 1960.
[11] Caughey, T., Vibration of dynamic systems with linear hysteretic damping, ASME, New York 1962.
[12] Crandall, S., The role of damping in vibration theory, Journal of Sound and Vibration, 11(1), 1970, 3-18.
[13] Reid, T., Free Vibration and Hysteretic Damping, The Journal of the Royal Aeronautical Society, 60(544), 1956, 283.
[14] Fraijs, V., Influence of internal damping on aircraft resonance, AGARD, 1960.
[15] Crandall, S., The Hysteretic Damping Model in Vibration Theory, Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science, 205(1), 1991, 23-28.
[16] Makris, N., Causal Hysteretic Element, Journal of Engineering Mechanics, 123(11), 1997, 1209-1214.
[17] Adhikari, S., Wagner, N., Direct time-domain integration method for exponentially damped linear systems, Computers & Structures, 82(29-30), 2004, 2453-2461.
[18] Cortés, F., Mateos, M., Elejabarrieta, M., A direct integration formulation for exponentially damped structural systems, Computers & Structures, 87(5-6), 2009, 391-394.
[19] Adhikari, S., Damping models for structural vibration, PhD thesis, Cambridge University, 2000.
[20] Soroushian, A., A General Rule for the Influence of Physical Damping on the Numerical Stability of Time Integration Analysis, Journal of Applied and Computational Mechanics, 4(5), 2018, 467-481.
[21] Inaudi, J., Kelly, J., Linear Hysteretic Damping and the Hilbert Transform, Journal of Engineering Mechanics, 121(5), 1995, 626-632.
[22] Muravskii, G., On frequency independent damping, Journal of Sound and Vibration, 274, 2004, 653–668.
[23] Muravskii, G., Linear models with nearly frequency independent complex stiffness leading to causal behavior in time domain, Earthquake Engineering & Structure Dynamics, 33, 2006, 13–33.
[24] Scanlan, R., Linear damping models and causality in vibrations, Journal of Sound and Vibration, 13(4), 1970, 499-503.
[25] Sanliturk, K., Koruk, H., Development and validation of a composite finite element with damping capability, Composite Structures, 97, 2013, 136-146.
[26] Cortés, F., Elejabarrieta, M., An approximate numerical method for the complex eigenproblem in systems characterised by a structural damping matrix, Journal of Sound and Vibration, 296(1-2), 2006, 166-182.
[27] Zhang, S., Chen, H., A study on the damping characteristics of laminated composites with integral viscoelastic layers, Composite Structures, 74(1), 2006, 63-69.
[28] Cortés, F., Elejabarrieta, M., Structural vibration of flexural beams with thick unconstrained layer damping, International Journal of Solids and Structures, 45(22-23), 2008, 5805-5813.
[29] Rao, M., Echempati, R., Nadella, S., Dynamic analysis and damping of composite structures embedded with viscoelastic layers, Composites Part B: Engineering, 28(5-6), 1997, 547-554.
[30] Zhang, S., Chen, H., A study on the damping characteristics of laminated composites with integral viscoelastic layers, Composite Structures, 74(1), 2006, 63-69.
[31] Plagianakos, T., Saravanos, D., Mechanics and finite elements for the damped dynamic characteristics of curvilinear laminates and composite shell structures, Journal of Sound and Vibration, 263(2), 2003, 399-414.
[32] Spitas, C., Dwaikat, MMS., Spitas, V., Non-linear modelling of elastic hysteretic damping in the time domain, Archives of Mechanics, 72(4), 2020, Rayleigh, L., Theory of Sound , Dover Publications, New York, 1945.
[33] Foss, K., Coordinates Which Uncouple the Equations of Motion in Damped Linear Dynamic Systems, Journal of Applied Mechanics, 25, 1958, 361-364.
[34] Johnson, C., Kienholzt, D., Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers, AIAA Journal, 20(9), 1982, 1284-1290.
[35] Hoser, M., Boswald, M., Govers, Y., Validating Global Structural Damping Models for Dynamic Analyses, Deutscher Luft- und Raumfahrtkongress, 2015, 1-10.
[36] Rittweger, A., Dieker, S., Abdoly, K., Albus, J., Coupled Dynamic Load Analysis with different Component Damping of the Substructures, International Astronautical Congress, 2008.
[37] Neumark, S., Concept of complex Stiffness Applied to Problems of Oscillation with Viscous and Hysteretic Damping, Aeronautical Research Council R&M, 1962.
[38] Küssner, H., Schwingungen von flugzeugflügeln, Jahrbuch der Deutscher Versuchsanstalt für Luftfahrt, 1929, 319-320.
[39] Küssner, H., Augenblicklicher Entwicklungsstand der Frage des Flugelflatterns, Luftfahrtforschung, 12, 1935, 193.
[40] Bishop, R., The general theory of hysteretic damping, The Aeronautical Quarterly, 7(1), 1956, 60-70.
[41] ANSYS, Theory Reference for the Mechanical APDL and Mechanical Applications, ANSYS, 2009, 897-899.
Journal of Applied and Computational Mechanics
)
