ORIGINAL_ARTICLE
Effect of thermoelastic damping in nonlinear beam model of MEMS resonators by differential quadrature method
This paper presents a nonlinear model of a clamped-clamped microbeam actuated by an electrostatic load with stretching and thermoelastic effects. The frequency of free vibration is calculated by discretization based on the Differential Quadrature (DQ) Method. The frequency is a complex value due to the thermoelastic effect that dissipates energy. By separating the real and imaginary parts of frequency, the quality factor of thermoelastic damping is calculated. Both the stretching and thermoelastic effects are validated by the referenced papers. This paper shows that the main nonlinearity of this model is voltage, which makes the difference between linear and nonlinear models. The variation of thermoelastic damping (TED) versus geometrical parameters, such as thickness, gap distance and length, is investigated and these results are compared by linear and nonlinear models in high voltages. This paper also shows that in high voltages the linear model has a large margin of error for calculating thermoelastic damping (TED) and thus the nonlinear model should be used.
http://jacm.scu.ac.ir/article_10935_a3f9976908edf82b3b15a1177348936f.pdf
2015-07-01T11:23:20
2018-08-22T11:23:20
112
121
10.22055/jacm.2015.10935
thermoelastic damping
stretching effect
resonator
differential quadrature method
Nassim
Ale Ali
aleali@kmsu.ac.ir
true
1
Department of Marine Engineering, Khorramshahr University of Marine Science &amp; Technology
Department of Marine Engineering, Khorramshahr University of Marine Science &amp; Technology
Department of Marine Engineering, Khorramshahr University of Marine Science &amp; Technology
LEAD_AUTHOR
Ardeshir
Mohammadi
akarami@yahoo.com
true
2
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood
Department of Mechanical Engineering, Shahrood University of Technology, Shahrood
AUTHOR
[1] Ali H. Nayfeh, Mohammad I. Younis, "Modeling and simulations of thermoelastic damping in microplates", Journal of Micromechanics and Microengineering, 14 pp 1711–1717, 2004.
1
[2] Nayfeh A H and Younis M I., "A new approach to the modeling and simulation of flexible microstructures under the effect of squeeze-film damping", Journal of Micromechanics and Microengineering, 14, pp 170–181, 2004.
2
[3] C. Zener, "Internal friction in solids I. Theory of internal friction in reeds", Physical Review, Volume 32, pp 230-235, 1937.
3
[4] C. Zener, "Internal friction in solids II. General theory of thermoelastic internal friction", Physical Review, Volume 53, pp 90-99, 1937.
4
[5] J. B. Alblas, "A note on the theory of thermoelastic damping", Journal of Thermal Stresses, Volume 4, Issue 3-4, pp 333-355, 1981.
5
[6] R. Lifshitz, M. L. Roukes, "Thermoelastic damping in micro- and nanomechanical systems", Physical Review B, Volume 61, Number 8, pp 5600-5609, 2000.
6
[7] Sudipto K. De, N. R. Aluru, "Theory of thermoelastic damping in electrostatically actuated microstructures", Physical Review B, 74, 144305, pp 1-13, 2006.
7
[8] S. Prabhakar, S. Vengallatore, "Theory of thermoelastic damping in micromechanical resonators with two-dimensional heat conduction", Journal of Microelectromechanical Systems, Vol. 17, No. 2, pp 494-502, 2008.
8
[9] Enrico Serra, and Michele Bonaldi, "A finite element formulation for thermoelastic damping analysis", International Journal for Numerical Methods in Engineering, 78, pp 671–691, 2009.
9
[10] F.L. Guo, G.A. Rogerson, "Thermoelastic coupling effect on a micro-machined beam resonator", Mechanics Research Communications, 30, pp 513–518, 2003.
10
[11] Yuxin Sun and Masumi Saka, "Thermoelastic damping in micro-scale circular plate resonators", Journal of Sound and Vibration 329, pp 328–337, 2009.
11
[12] Jinbok Choi, Maenghyo Cho, Jaewook Rhim, "Efficient prediction of the quality factors of micromechanical resonators", Journal of Sound and Vibration, 329, pp 84–95, 2010.
12
[13] Yun-Bo Yi, Mohammad A. Matin, "Eigenvalue Solution of Thermoelastic Damping in Beam Resonators Using a Finite Element Analysis", Journal of Vibration and Acoustics, Vol. 129, pp 478-483, 2007.
13
[14] Fargas Marqu`es A, Costa Castell´o R and Shkel A M, "Modelling the electrostatic actuation of MEMS: state of the art" Technical Report, pp 1-33, 2005.
14
[15] R. C. Batra, M. Porfiri, and D. Spinello, "Review of modeling electrostatically actuated microelectromechanical systems", Smart Materials and Structures, 16, pp 23–31, 2007.
15
[16] Abdel-Rahman E. M., Younis M. I. and Nayfeh A. H., "Characterization of the mechanical behavior of an electrically actuated microbeam", Journal of Micromechanics and Microengineering, 12, pp 759–66, 2002.
16
[17] Nayfeh A. H. and Younis M. I., "Dynamics of MEMS resonators under superharmonic and subharmonic excitations", Journal of Micromechanics and Microengineering, 15, pp 1840–7, 2005.
17
[18] Younis M. I. and Nayfeh A. H., "A study of the nonlinear response of a resonant microbeam to an electric actuation", Nonlinear Dynamics, 31, pp 91–117, 2003.
18
[19] Younis M. I., Abdel-Rahman E. M. and Nayfeh A. H., "A reduced-order model for electrically actuated microbeam-based MEMS", Journal of Microelectromech. System, 12, pp 672–80, 2003.
19
[20] Abdel-Rahman E. M. and Nayfeh A. H. "Secondary resonances of electrically actuated resonant microsensors", Journal of Micromechanics and Microengineering. 13, pp 491–501, 2003.
20
[21] Nayfeh A. H. and Younis M. I., "Dynamics of MEMS resonators under superharmonic and subharmonic excitations", Journal of Micromechanics and Microengineering, 15, pp 1840–7, 2005.
21
[22] Najar F., Choura S., Abdel-Rahman E. M., El-Borgi S. and Nayfeh A. H., "Dynamic analysis of variable-geometry electrostatic microactuators", Journal of Micromechanics and Microengineering, 14, pp 900–6, 2006.
22
[23] Zhao X., Abdel-Rahman E. M. and Nayfeh A. H., "A reduced-order model for electrically actuated microplates", Journal of Micromechanics and Microengineering, 14, pp 900–906, 2004.
23
[24] Vogl G. W. and Nayfeh A. H., "A reduced-order model for electrically actuated clamped circular plates", Journal of Micromechanics and Microengineering, 15, pp 684–90, 2005.
24
[25] R.E. Bellman, J. Casti, "Differential quadrature and long term integration", Journal of Mathematical Analysis and Applications, Volume 34, 235–238, 1971.
25
[26] Feng Y., Bert CW., “Application of the quadrature method to flexural vibration analysis of a geometrically nonlinear beam”, Nonlinear Dynamics, Volume 156, pp 3-18, 1993.
26
[27] Guo Q. Zhong H., “Nonlinear vibration analysis of beams by a spline-based differential quadrature method”, Journal of Shock and Vibration, Volume 269, pp 413-420, 2004.
27
[28] Zhong H., Guo Q., “Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method ”, Nonlinear Dynamics, Volume 32, pp 223-234.
28
[29] Han K. M., Xiao J. B., Du Z. M., “Differential quadrature method for Mindlin plates on Winkler foundations”, International Journal of Mechanical Sciences, Volume 38, pp 405-421, 1996.
29
[30] Liew K. M., Han J. B., Xiao Z. M., “Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility”, International Journal of Solids and Structures, Volume 33, pp 2647-2658, 1996.
30
[31] Liew K. M., Han J. B., “A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates”, Communications in Numerical Methods in Engineering, Volume 13, pp 73-81, 1997.
31
[32] Han J. B., Liew K. M., “An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates”, Computer Methods in Applied Mechanics and Engineering, Volume 141, pp 265-280, 1997.
32
[33] P. Malekzadeh, “Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT”, Composite Structures, Volume 83, Issue 2, pp189-200, 2008.
33
[34] P. Malekzadeh, G. Karami, “Large amplitude flexural vibration analysis of tapered plates with edges elastically restrained against rotation using DQM”, Engineering Structures, Volume 30, Issue 10, pp 2850-2858, October 2008.
34
[35] P. Malekzadeh, “Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations”, Composite Structures, Volume 89, Issue 3, pp 367-373, July 2009.
35
[36] P. Malekzadeh, A. R. Vosoughi, “DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges”, Communications in Nonlinear Science and Numerical Simulation, Volume 14, pp. 906–915, 2009.
36
[37] Nayfeh A. H., Frank P. P., linear and nonlinear structural mechanics, New Jersey, John Wiley & Sons, pp 215-225, 2004.
37
[38] B. S. Sarma and T. K. Varadan, “Lagrange-Type Formulation for Finite Element Analysis of Non-Linear Beam Vibrations”, Journal of sound and vibration, Volume 86, pp. 61-70, 1983.
38
[39] A. Koochi, Hamid M. Sedighi, M. Abadyan, "Modeling the size dependent pull-in instability of beam-type NEMS using strain gradient theory" Latin American Journal of Solids and Structures, Volume 11, pp. 1806-1829, 2014.
39
[40] A. Koochi, H. Hosseini-Toudeshky, H. R. Ovesy, "modeling the influence of surface effect on instability of nano-cantilever in presence of van der waals force" Volume 13, No. 4, 1250072, 2013.
40
ORIGINAL_ARTICLE
Size-dependent free vibration analysis of rectangular nanoplates with the consideration of surface effects using finite difference method
In this article, finite difference method (FDM) is used to study the size-dependent free vibration characteristics of rectangular nanoplates considering the surface stress effects. To include the surface effects in the equations, Gurtin-Murdoch continuum elasticity approach has been employed. The effects of surface properties including the surface elasticity, surface residual stress and surface mass density are considered to be the main causes for size-dependent behavior that arise from the increase in surface-to-volume ratios at smaller scales. Numerical results are presented to demonstrate the difference between the natural frequency obtained by considering the surface effects and that obtained without considering surface properties. It is observed that the effects of surface properties tend to diminish in thicker nanoplates, and vice versa.
http://jacm.scu.ac.ir/article_10971_066ea185ae76f9fab1f9290b8eb77471.pdf
2015-07-01T11:23:20
2018-08-22T11:23:20
122
133
10.22055/jacm.2015.10971
Free vibration
surface effects
size-dependent
rectangular nanoplate
finite difference method
Morteza
karimi
mortezakarimi90@yahoo.com
true
1
Department of Mechanical Engineering, Isfahan University of Technology
Department of Mechanical Engineering, Isfahan University of Technology
Department of Mechanical Engineering, Isfahan University of Technology
LEAD_AUTHOR
Mohammad Hossein
Shokrani
mh.shokrani@me.iut.ac.ir
true
2
Department of Mechanical Engineering, Isfahan University of Technology
Department of Mechanical Engineering, Isfahan University of Technology
Department of Mechanical Engineering, Isfahan University of Technology
AUTHOR
Ali Reza
Shahidi
shahidi@cc.iut.ac.ir
true
3
Department of Mechanical Engineering, Isfahan University of Technology
Department of Mechanical Engineering, Isfahan University of Technology
Department of Mechanical Engineering, Isfahan University of Technology
AUTHOR
[1] Lian, P., Zhu, X., Liang, S., Li, Z., Yang, W., Wang, H., “Large reversible capacity of high quality graphene sheets as an anode material for lithium-ion batteries”, Electrochimica Acta, Vol. 55, No. 12, pp. 3909-3914, 2010.
1
[2] Saito, Y., Uemura, S., “Field emission from carbon nanotubes and its application to electron sources”, Carbon, Vol. 38, No. 2, pp. 169-182, 2000.
2
[3] Sakhaee-Pour, A., Ahmadian, M. T., Vafai, A., “Applications of single-layered graphene sheets as mass sensors and atomistic dust detectors”, Solid State Communications, Vol. 145, No. 4, pp. 168-172, 2008.
3
[4] Wang, Z. L., Song, J., “Piezoelectric nanogenerators based on zinc oxide nanowire arrays”, Science, Vol. 312, No. 5771, pp. 242–246, 2006.
4
[5] Ball, P., “Roll up for the revolution”, Nature, Vol. 414, No. 6860, pp. 142–144, 2001.
5
[6] Baughman, R. H., Zakhidov, A. A., DeHeer, W. A., “Carbon nanotubes–the route toward applications”, Science, Vol. 297, No. 5582, pp. 787–792, 2002.
6
[7] Li, C., Chou, T. W., “A structural mechanics approach for the analysis of carbon nanotubes”, International Journal of Solids and Structures, Vol. 40, No. 10, pp. 2487–2499, 2003.
7
[8] Govindjee, S., Sackman, J. L., “On the use of continuum mechanics to estimate the properties of nanotubes”, Solid State Communications, Vol. 110, No. 4, pp. 227–230, 1999.
8
[9] He, X. Q., Kitipornchai, S., Liew, K. M., “Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction”, Journal of Mechanics and Physics of solids, Vol. 53, No. 2, pp. 303–326, 2005.
9
[10] Gurtin, M. E., Murdoch, A. I., “A continuum theory of elastic material surfaces”, Archive for Rational Mechanics and Analysis, Vol. 57, No. 4, pp. 291–323, 1975.
10
[11] Gurtin, M. E, Murdoch, A. I., “Surface stress in solids”, International Journal of Solids and Structures, Vol. 14, No. 4, pp. 431–440, 1978.
11
[12] Assadi, A., Farshi, B., Alinia-Ziazi, A., “Size dependent dynamic analysis of nanoplates”, Journal of Applied Physics, Vol. 107, No. 12, pp. 124310, 2010.
12
[13] Assadi, A., “Size dependent forced vibration of nanoplates with consideration of surface effects”, Applied Mathematical Modelling, Vol. 37, No. 5, pp. 3575–3588, 2013.
13
[14] Assadi, A., Farshi, B., “Vibration characteristics of circular nanoplates”, Journal of Applied Physics, Vol. 108, No. 7, pp. 074312, 2010.
14
[15] Assadi, A., Farshi, B., “Size dependent stability analysis of circular ultrathin films in elastic medium with consideration of surface energies”, Physica E, Vol. 43, No. 5, pp. 1111–1117, 2011.
15
[16] Gheshlaghi, B., Hasheminejad, S. M., “Surface effects on nonlinear free vibration of nanobeams”, Composites Part B: Engineering, Vol. 42, No. 4, pp. 934–937, 2011.
16
[17] Nazemnezhad, R., Salimi, M., Hosseini Hashemi, S. h., Asgharifard Sharabiani, P., “An analytical study on the nonlinear free vibration of nanoscale beams incorporating surface density effects”, Composites Part B: Engineering, Vol. 43, No. 8, pp. 2893–2897, 2012.
17
[18] Hosseini-Hashemi, S., Nazemnezhad, R., “An analytical study on the nonlinear free vibration of functionally graded nanobeams incorporating surface effects”, Composites Part B: Engineering, Vol. 52, pp. 199–206, 2013.
18
[19] Asgharifard Sharabiani, P., Haeri Yazdi, M. R., “Nonlinear free vibrations of functionally graded nanobeams with surface effects”, Composites Part B: Engineering, Vol. 45, No. 1, pp. 581–586, 2013.
19
[20] Ansari, R., Sahmani, S., “Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories”, International Journal of Engineering Science, Vol. 49, No. 11, pp. 1244–1255, 2011.
20
[21] Yan, Z., Jiang, L., “Surface effects on the electroelastic responses of a thin piezoelectric plate with nanoscale thickness”, Journal of Physics D: Applied Physics, Vol. 45, No. 25, pp. 255401, 2012.
21
[22] Ansari, R., Shahabodini, A., Shojaei, M. F., Mohammadi, V., Gholami, R., “On the bending and buckling behaviors of Mindlin nanoplates considering surface energies”, Physica E, Vol. 57, pp. 126–137, 2014.
22
[23] Ansari, R., Mohammadi, V., Faghih Shojaei, M., Gholami, R., Sahmani, S., “On the forced vibration analysis of Timoshenko nanobeams based on the surface stress elasticity theory”, Composites Part B: Engineering, Vol. 60, pp. 158–166, 2014.
23
[24] Farajpour, A., Dehghany, M., Shahidi, A. R., “Surface and nonlocal effects on the axisymmetric buckling of circular graphene sheets in thermal environment”, Composites Part B: Engineering, Vol. 50, pp. 333–343, 2013.
24
[25] Asemi, S. R., Farajpour, A., “Decoupling the nonlocal elasticity equations for thermo-mechanical vibration of circular graphene sheets including surface effects”, Physica E, Vol. 60, pp. 80–90, 2014.
25
[26] Mouloodi, S., Khojasteh, J., Salehi, M., Mohebbi, S., “Size dependent free vibration analysis of Multicrystalline nanoplates by considering surface effects as well as interface region”, International Journal of Mechanical Sciences, Vol. 85, pp. 160–167, 2014.
26
[27] Mouloodi, S., Mohebbi, S., Khojasteh, J., Salehi, M., “Size-dependent static characteristics of multicrystalline nanoplates by considering surface effects”, International Journal of Mechanical Sciences, Vol. 79, pp. 162–167, 2014.
27
[28] Wang, K. F., Wang, B. L., “A finite element model for the bending and vibration of nanoscale plates with surface effect”, Finite Elements in Analysis and Design, Vol. 74, pp. 22–29, 2013.
28
[29] Karamooz Ravari, M. R., Talebi, S. A., Shahidi, R., “Analysis of the buckling of rectangular nanoplates by use of finite-difference method”, Meccanica Vol. 49, No. 6, pp. 1443–1455, 2014.
29
[30] Karamooz Ravari, M.R., Shahidi, R., “Axisymmetric buckling of the circular annular nanoplates using finite difference method”,Meccanica Vol. 48, No. 1, pp. 135–144, 2013.
30
ORIGINAL_ARTICLE
Fuzzy Modeling and Synchronization of a New Hyperchaotic Complex System with Uncertainties
In this paper, the synchronization of a new hyperchaotic complex system based on T-S fuzzy model is proposed. First, the considered hyperchaotic system is represented by T-S fuzzy model equivalently. Then, by using the parallel distributed compensation (PDC) method and by applying linear system theory and exact linearization (EL) technique, a fuzzy controller is designed to realize the synchronization. Finally, simulation results are carried out to demonstrate the performance of our proposed control scheme, and also the robustness of the designed fuzzy controller to uncertainties.
http://jacm.scu.ac.ir/article_10997_f0eeb21f8d84b9e4b1da0c141089df84.pdf
2015-07-01T11:23:20
2018-08-22T11:23:20
134
144
10.22055/jacm.2015.10997
a new hyperchaotic complex system
hyperchaotic synchronization
T-S fuzzy model
parallel distributed compensation (PDC) method
exact linearization (EL)
Hadi
Delavari
hdelavary@gmail.com
true
1
Hamedan university of Technology
Hamedan university of Technology
Hamedan university of Technology
LEAD_AUTHOR
Mostafa
Shokrian
mostafashokrian@stu.hut.ac.ir
true
2
Department of Electrical Engineering, Hamedan University of Technology
Department of Electrical Engineering, Hamedan University of Technology
Department of Electrical Engineering, Hamedan University of Technology
AUTHOR
[1] Chen, G. and Dong, X.: 'From Chaos to Order: Methodologies, Perspectives and Applications' (World Scientific, 1998, Series a, Book 24)
1
[2] Luo, X.S.: 'Chaos control, theory and method of synchronization and its application' (Guangxi Normal University Press, 2007), pp. 5-29
2
[3] Elabbasy, E.M., Agiza, H.N., EI-Dessoky, M.M.: 'Adaptive synchronization of a hyperchaotic system with uncertain parameter', Chaos, Solit. & Fract., 2006, 30, pp. 1133-1142
3
[4] Jia, Q.: 'Projective synchronization of a new hyperchaotic system', Phys. Lett. A, 2007, 370, pp. 40-45
4
[5] Wang, F.Z., Chen, Z.Q., Wu, W.J., Yuan, Z.Z.: 'A novel hyperchaos evolved from three dimensional modified Lorenz chaotic system', Chin. Phys., 2007, 16, pp. 3238-3243
5
[6] Wang, F.Q., Liu, C.X.: 'Hyperchaos evolved from the Liu chaotic system', Chin. Phys., 2006, 15, pp. 963-968.
6
[7] Zhao, J.C., Lu, J.A.: 'Using sampled-data feedback control and linear feedback synchronization in a new hyperchaotic system', Chaos, Solit. & Fract., 2008, 35, pp. 376-382
7
[8] Nikolov, S., Clodong, S.: 'Hyperchaos-chaos-hyperchaos transition in modified Rossler systems', Chaos, Solit. & Fract., 2006, 28, pp. 252-263
8
[9] Pecora, L.M., Carroll, T.L.: 'Synchronization in chaotic systems', Phys. Rev. Lett., 1990, 64, pp. 821–824
9
[10] Chen, X.R., Liu, C.X., Wang, F.Q., Li, Y.X.: 'Study on the fractional-order Liu chaotic system with circuit experiment and its control', Acta Phys. Sin., 2008, 57, (3), pp. 1416-1422
10
[11] Wang, X.Y., Jia, B., Wang, M.J.: 'Active tracking control of the hyperchaotic LC oscillator system', Int J. Modern Phys. B, 2007, 21, (20), pp. 3643-3655
11
[12] Wang, F.Q., Liu, C.X.: 'Passive control of a 4-scroll chaotic system', Chin. Phys., 2007, 16, (4), pp. 946-950
12
[13] Zhang, M., Hu, S.S.: 'Adaptive control of uncertain chaotic systems with time delays using dynamic structure neural network', Acta Phys. Sin., 2008, 57, (3), pp. 1431-1438
13
[14] Shen, L.Q., Wang, M.: 'Adaptive control of chaotic systems based on a single layer neural network', Phys. Lett. A, 2007, 368, (5), pp. 379-382
14
[15] Chang, K.M.: 'Adaptive control for a class of chaotic systems with nonlinear inputs and disturbances', Chaos, Solit. & Fract., 2008, 36, (2), pp. 460-468
15
[16] Liu, X.W., Huang, Q.Z., Gao, X., Shao, S.Q.: 'Impulsive control of chaotic systems with exogenous perturbations', Chin. Phys., 2007, 16, (8), pp. 2272-2277
16
[17] Guan, X.P., Chen, C.L., Peng, H.P., Fan, Z.P.: 'Time-delayed feedback control of time-delay chaotic systems', Int J. Bifur. Chaos, 2003, 13, (1), pp. 193-205
17
[18] Wang, X.Y., Gao, Y.: 'The inverse optimal control of a chaotic system with multiple attractors', Modern Phys. Lett. B, 2007, 21, (29), pp. 1999-2007
18
[19] Ma, Y.C., Huang, L.F., Zhang, Q.L.: 'Robust guaranteed cost H∞ control for uncertain time-varying delay system', Acta Phys. Sin., 2007, 56, (7), pp. 3744-3752
19
[20] Zhang, H., Ma, X.K., Li, M., Zou, J. L.: 'Controlling and tracking hyperchaotic R¨ossler system via active backstepping design', Chaos, Solit. & Fract., 2005, 26, (2), pp. 353-361
20
[21] Bonakdar, M., Samadi, M., Salarieh, H., Alasty, A.: 'Stabilizing periodic orbits of chaotic systems using fuzzy control of poincare map', Chaos, Solit. & Fract., 2008, 36, (3), pp. 682-693
21
[22] Gao, X., Liu, X.W.: 'Delayed fuzzy control of a unified chaotic system', Acta Phys. Sin., 2007, 56, (1), pp. 84-90
22
[23] Wang, Y.N., Tan, W., Duan, F.: 'Robust fuzzy control for chaotic dynamics in Lorenz systems with uncertainties', Chin. Phys., 2006, 15, (1), pp. 89-94
23
[24] Lian, K.Y., Liu, P., Wu, T.C., Lin, W.C.: 'Chaotic control using fuzzy model-based methods', Int J. Bifur. Chaos, 2002, 12, (8), pp. 1827-1841
24
[25] Tanaka, K., Ikeda, T., Wang, H.O.: 'A unified approach to controlling chaos via an LMI-based fuzzy control system design', IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1998, 45, (10), pp. 1021-1040
25
[26] Takagi, T., Sugeno, M.: 'Fuzzy identification of systems and its applications to modeling and control', IEEE Trans. on Systems, Man and Cybernetics, 1985, 15, pp. 116-132
26
[27] Delavari, H., Faieghi, M.R.: 'Control of an uncertain fractional-order chaotic system via fuzzy fractional-order sliding mode control', 13th Iranian Student Conference on Electrical Engineering (ISCEE 2010), 15-17 Sep., Tehran, Iran, 2010
27
[28] Delavari, H., Ghaderi, R., Ranjbar, A., Momeni, S.: 'Fuzzy fractional-order sliding mode controller for nonlinear systems', Comm. In Non. Sci.& Num. Sim., 2010, 15, pp. 963-978
28
[29] Delavari, H., Faieghi, M.R., Baleanu, D.: 'Control of an uncertain fractional-order Liu system via fractional-order sliding mode control', Journal of Vib. And Cont., 2012, 18, pp. 1366-1374
29
[30] Zhang, H., Liao, X., Yu, J.: 'Fuzzy modeling and synchronization of hyperchaotic systems', Chaos, Solitons and Fractals, 2005, 26, pp. 835–843
30
[31] Zhao, Y., Han, X., Sun, Q.: 'Robust fuzzy synchronization control for a class of hyperchaotic systems with parametric uncertainties', IEEE Conf. on Indust. Elect. & Applic., May 2009, pp. 1149-1153
31
[32] Xia, H., Jinde, C.: 'Synchronization of hyperchaotic Chen system based on fuzzy state feedback controller', Chinese Control Conf., 2010, pp. 672-676
32
[33] Yi, S., Lin, Z., Liang-rui, T.: 'Synchronization of hyperchaotic system based on fuzzy model and its application in secure communication', Int. Conf. on Wireless Communication Networking and Mobile Computing, 2010, pp. 1-5
33
[34] Pan, Y., Li, B., Liu, Y.: 'T-S fuzzy identical synchronization of a class of generalized Henon hyperchaotic maps', IEEE Int. Conf. on Information and Automation, 2010, pp. 623-626
34
[35] Xu, M.-J., Zhao, Y., Han, X.-C., Zhang, Y.-Y.: 'Generalized asymptotic synchronization between Chen hyperchaotic system and Liu hyperchaotic system: a fuzzy modeling method', Chinese Conf. on Control & Decision, 2009, pp. 361-366
35
[36] Zhao, Y., Chi, X., Sun, Q.: 'Fuzzy robust generalized synchronization of two non-identical hyperchaotic systems based on T-S models', Int. Conf. on Fuzzy Systems and Knowledge Discovery, 2009, pp. 305-309
36
[37] Fowler, A.C., Gibbon, J.D., McGuinness, M.J.: 'The complex Lorenz equations', Physica D, 1982, 4, pp. 139-163
37
[38] Ning, C.Z., Haken, H.: 'Detuned lasers and the complex Lorenz equations: Subcritical and supercritical Hopf bifurcations', Phys. Rev. A, 1990, 41, pp. 3826–3837
38
[39] Gibbon, J.D., McGuinness, M.J.: 'The real and complex Lorenz equations in rotating fluids and lasers', Physica D, 1983, 5, pp. 108–122
39
[40] Peng, J.H., Ding, E.J., Ging, M., Yang, W.: 'Synchronizing hyperchaos with a scalar transmitted signal', Phys. Rev. Lett., 1996, 76, pp. 904–907
40
[41] Mahmoud, G.M., Mahmoud, E.E.: 'Synchronization and control of hyperchaotic complex Lorenz system', Mathematics and Computers in Simulation, 2010, 80, pp. 2286-2296
41
[42] Mahmoud, E.E.: 'Dynamics and synchronization of new hyperchaotic complex Lorenz system', Mathematical and Computer Modelling, 2012, 55, pp. 1951-1962
42
[43] Lian, K.Y., Chiang, T.S., Chiu, C.S., Liu, P.: 'Synthesis of fuzzy model-based design to synchronization and secure communications for chaotic systems', IEEE Trans. Syst. Man. Cybern., 2001, 31, pp. 66-83
43
[44] Mahmoud, G.M., Bountis, T., Mahmoud, E.E.: 'Active control and global synchronization of the complex Chen and Lü systems', Int. J. Bifurc. Chaos, 2007, 17, pp. 4295-4308
44
[45] Mahmoud, G.M., Bountis, T., Al-Kashif, M.A., Aly, S.A.: 'Dynamical properties and synchronization of complex non-linear equations for detuned lasers', Dyn. Syst., 2009, 24, pp. 63-79
45
[46] Mahmoud, G.M., Ahmed, M.E., Sabor, N.: 'On autonomous and nonautonomous modified hyperchaotic complex Lü systems', Int. J. Bifurc. Chaos, 2011, 21, pp. 1913-1926
46
[47] Mahmoud, G.M., Ahmed, M.E.: 'A hyperchaotic complex system generating two-, three-, and four-scroll attractors', Journal of Vibration and Control, 2012, 18, (6), pp. 841-849
47
ORIGINAL_ARTICLE
Computation of Slip analysis to detect adhesion for protection of rail vehicle and derailment
Adhesion level for the proper running of rail wheelset on track has remained a significant problem for researchers in detecting slippage to avoid accidents. In this paper, the slippage of rail wheels has been observed applying forward and lateral motions to slip velocity and torsion motion. The longitudinal and lateral forces behavior is watched with respect to traction force to note correlation based on the angle of attack. The deriving torque relation with tractive torque is watched to check slippage. Coulomb’s law is applied in terms of tangential forces to normal forces owing to creep co-efficient and friction to get the adhesion. Nadal’s limiting ratio is applied to escape from wheel climb and derailment from track depending upon wheel profile and flange on straight path and curves.
http://jacm.scu.ac.ir/article_10999_7c3567411d7ded7d0c9e20be672b704e.pdf
2015-07-01T11:23:20
2018-08-22T11:23:20
145
151
10.22055/jacm.2015.10999
Traction
Torsion
creep forces
angle of contact
creep co-efficient and friction
Zulfiqar
Soomro
786zas@gmail.com
true
1
Directorate of Post-graduate Studies, Mehran University of Engg;&amp;Tech; Jamshoro (Pakistan)
Directorate of Post-graduate Studies, Mehran University of Engg;&amp;Tech; Jamshoro (Pakistan)
Directorate of Post-graduate Studies, Mehran University of Engg;&amp;Tech; Jamshoro (Pakistan)
LEAD_AUTHOR
[1] Kung, C., Kim, H., Kim, M. & Goo, B., “Simulations on Creep Forces Acting on the Wheel of a Rolling Stock.” International Conference on Control, Automation and Systems, Seoul, Korea. Oct. 14 – 17, 2008.
1
[2] Hwang, D., Kim, M., Park, D., Kim, Y. & Kim, D. “Re-adhesion Control for High- Speed Electric Railway with Parallel Motor Control System.” Proceedings of 5th International Conference, ISIE, IEEE International Symposium, Vol. 2, pp. 1024 – 1029, 2001.
2
[3] Hwang, D., Kim, M., Park, D., Kim, Y. & Lee, J. “Hybrid Re-adhesion Control Method for Traction System of High-Speed Railway.” Proceedings of 5th International Conference, ISIE, IEEE International Symposium, Vol. 2, pp. 739 – 742 Aug. 2001.
3
[4] Watanabe, T. & Yamashita, M. “Basic Study of Anti-slip Control without Speed Sensor for Multiple Drive of Electric Railway Vehicles.” Proceedings of Power Conversion Conference, Osaka, IEEE, Vol. 3, pp. 1026 – 1032, 2002.
4
[5] Mei, T., Yu, J. & Wilson, D. “A Mechatronic Approach for Effective Wheel Slip Control in Railway Traction.” Proceedings of the Institute of Mechanical Engineers, Journal of Rail and Rapid Transit, Vol. 223, Part. F, pp. 295 – 304, 2009.
5
[6] Barbosa R.S., A 3D Contact Force Safety Criterion for Flange Climb Derailment of a Railway Wheel, Vehicle System Dynamics, Vol. 42, No. 5, pp. 289–300, 2004.
6
[7] Braghin F., Bruni S. and Diana G. (2006), Experimental and numerical investigation on the derailment of a railway wheelset with solid axle, Vehicle System Dynamics, Vol. 44, No. 4, , pp. 305–325. (2006)
7
[8] Chelli F., Corradi R., Diana G., Facchinetti A., Wheel–rail contact phenomena and derailment conditions in light urban vehicles. Proceedings of the 6th International Conference On Contact Mechanics and Wear of Rail/Wheel Systems. Gothenburg, Sweden, pp. 461-468, 10-13, 2003.
8
[9] Gilchrist A.O., Brickle B.V., A re-examination of the proneness to derailment of a railway wheelset, J. Mech. Eng. Sci., Vol. 18, pp. 131–141, 1976.
9
[10] Sawley K. and Wu H., The formation of hollow-worn wheels and their effect on wheel/rail interaction, Wear, Vol. 258, pp. 1179-1186, 2005.
10
[11] Kondo, K., Anti-slip control technologies for the railway vehicle traction," Vehicle Power and Propulsion Conference (VPPC), IEEE, pp.1306,1311, 9-12 Oct. 2012
11
[12] Arias-Cuevas O., Low adhesion in the wheel–rail contact, Doctoral thesis, TUD, Delft, 2010 [1] E. Andersson and M. Berg. J¨arnv¨agssystem och sp°arfordon. KTH H¨ogskoletryckeri, Stockholm, Sweden, August 1999. In Swedish, (2010.
12
[13] Ishikawa, Y., Kawamurra, A., Maximum adhesive force control in super high speed train. IEEE, Proceedings of the Power Conversion Conference, Nagaoka, 2, pp. 951–954, August 1997.
13
[14] Takaoka, Y., Kawamura, A., Disturbance observer based adhesion control for shinkansen. IEEE, Proceedings, 6th International Workshop on Advanced Motion Control, pp. 169–174, 2000.
14
[15] S. Senini, F. Flinders, and W. Oghanna. Dynamic simulation of wheel-rail interaction for locomotive traction studies. Proceedings of the 1993 IEEE/ASME Joint Railroad Conference, pp. 27–34, April 1993.
15
[16] Nadal M. J., Locomotives a Vapeur, Collection Encyclopédie cientifique, Bibliothèque de Mécanique Applique´ et Génie, Paris, 1908.
16
[17] Dukkipati R.V., Vehicle Dynamics, Boca Raton: CRC Press, ISBN 0-8493-0976-X (2000).
17
[18] International Heavy Haul Association: Guidelines to Best Practices for Heavy Haul Railway Operations: Wheel and Rail Interface Issues, First Edition May 2001
18
[19]. International Heavy Haul Association: Guidelines to Best Practices for Heavy Haul Railway Operations, 2009: Infrastructure, Construction and Maintenance Issues 13. John Tuna and Curtis Urban, TTCI, Pueblo, Colorado, USA; IHHA 2007 Specialist Technical Session, Kiruna., 2009.
19
ORIGINAL_ARTICLE
Helicopter Blade Stability Analysis Using Aeroelastic Frequency Response Functions
In the present paper, the aeroelastic stability of helicopter rotor blade is determined using Aeroelastic Frequency Response Function. The conventional methods of aeroelastic stability usually use an iterative procedure while the present method does not require such approach. Aeroelastic Frequency Response Functions are obtained by inverting dynamic stiffness matrix of the aeroelastic system. System response could be obtained through exciting each degree of freedom. The resulting response was then plotted and the behavior of this function was investigated to find out the stability criteria and system natural frequencies. The results of this method are compared with stability boundaries obtained from the conventional p-k method and it can be inferred that, compared to other methods, the present algorithm is of less numerical cost.
http://jacm.scu.ac.ir/article_11076_b9589c8d35adce483e8e8bcc504a3762.pdf
2015-07-01T11:23:20
2018-08-22T11:23:20
152
160
10.22055/jacm.2015.11076
aeroelastic frequency response function
rotor blade
aeroelastic stability
critical pitch angle
Mostafa
Mohagheghi
mo.mohagheghi@ut.ac.ir
true
1
Faculty of New Sciences and Technologies, Aerospace group, University of Tehran, Iran
Faculty of New Sciences and Technologies, Aerospace group, University of Tehran, Iran
Faculty of New Sciences and Technologies, Aerospace group, University of Tehran, Iran
LEAD_AUTHOR
Ali
Salehzadeh Nobari
sal1358@aut.ac.ir
true
2
Department of Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran
Department of Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran
Department of Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran
AUTHOR
Alireza
Seyed Roknizadeh
s.roknizadeh@scu.ac.ir
true
3
Engineering Faculty, Department of Mechanical Engineering, Shahid Chamran University of Ahwaz, Iran
Engineering Faculty, Department of Mechanical Engineering, Shahid Chamran University of Ahwaz, Iran
Engineering Faculty, Department of Mechanical Engineering, Shahid Chamran University of Ahwaz, Iran
AUTHOR
[1]. Hassig H. J., “An Approximate True Damping Solution of the Flutter Equation by Determinant Iteration”, Journal of Aircraft, 8(11), pp. 885-890, 1971.
1
[2]. Imregun M., “Prediction of Flutter Stability Using Aeroelastic Frequency Response Functions”, Journal of Fluids and Structures, 9 (4), pp. 419-434, 1995.
2
[3]. Roknizadeh, S. A. S., “Stability Analysis of Aeroelastic Systems Based on Aeroelastic FRF and Condistion Number”, Aircraft Engineering and Aerospace Technology, Vol. 84, No. 5, pp. 299-310, 2012.
3
[4]. Ewins D. J., Modal Testing: Theory, Practice and Application. 2Ed., Research Studies Press, Hertfordshire, England, 2000.
4
[5]. Hodges D. H. and Dowell E. H., “Nonlinear Equations of Motion for the Elastic Bending and Torsion of Twisted Nonuniform Rotor Blades”, NASA TN D-7818, 1974.
5
[6]. Hodges D. H. and Ormiston R. A., “Stability of Elastic Bending and Torsion of Uniform Cantilever Rotor Blades in Hover with Variable Structural Coupling”, NASA TN D-8192, 1976.
6
[7]. Shahverdi H., “Aeroelastic Analysis of Helicopter Rotor Blades Using Reduced Order Aerodynamic Model”, Ph. D. Dissertation, Amirkabir University of Technology, 2006.
7
[8]. Afagh F. F. and Nitzsche F. and Morozova N., “Dynamic Modeling and Stability of Hingeless Helicopter Blades with a Smart Spring”, The Aeronautical Journal, 108 (1085), pp. 369-377, 2004.
8
[9]. Nariman M., “Vibration Computation of Helicopter Rotor Blades Using Unsteady Aerodynamic Theory”, M.Sc. Thesis, Amirkabir University of Technology, 2007.
9
[10]. Gennaretti M. and Molica Colella M. and Bernardini G., “Analysis of Helicopter Vibratory Hub Loads Allevation by Cyclic Trailing-edge Blade Flap Actuation”, The Aeronautical Journal, 113 (1146), pp. 549-556, 2009.
10
[11]. Johnson W., Helicopter Theory, Princeton University Press, New Jersey, 1980.
11
[12]. Bielawa R. L., Rotary Wing Structural Dynamics and Aeroelasticity, AIAA Inc., Washington, 1992.
12
[13]. Sotoodeh Z., “Aeroelastic Analysis of Helicopter Cantilever Rotor Blade with Piters-Hey Induced Flow Model in Hover”, M.Sc. Thesis, Sharif University of Technology, 2007.
13
[14]. Haddadpour H. and Firouz-Abadi R. D., “True Damping and Frequency Prediction for Aeroelastic Systems: The PP Method”, Journal of Fluids and Structures, 25(7), pp. 1177-1188, 2009.
14
ORIGINAL_ARTICLE
Springback Modeling in L-bending Process Using Continuum Damage Mechanics Concept
Springback is one of the most common and important issues in metal forming area. Due to the fact that springback depends on a variety of parameters, it is hard to predict. Hence, in this paper, the effect of continuum damage mechanics (CDM) on springback was investigated based on the Lemaitre isotropic unified damage law. Swift’s hardening law was employed to describe isotropic hardening behavior. The results indicated that considering the damage mechanics concept in springback modeling increases the predictability of springback.
http://jacm.scu.ac.ir/article_11020_b6c804869a735cc8e50647e0768220d8.pdf
2015-07-01T11:23:20
2018-08-22T11:23:20
161
167
10.22055/jacm.2015.11020
Springback prediction
Damage
Simulation
L-bending test
FEM
Mehdi
Shahabi
m_shahabi@shirazu.ac.ir
true
1
Shiraz University
Shiraz University
Shiraz University
AUTHOR
Ali
Nayebi
nayebi@shirazu.ac.ir
true
2
Shiraz University
Shiraz University
Shiraz University
LEAD_AUTHOR
[1] B. S. Levy, Empirically derived equations for predicting springback in bending, Journal of AppliedWorking Metal, Vol. 3,pp. 135–141, 1984.
1
[2] Chan, K. C., Theoretical analysis of springback in bending of integrated circuit lead frames, International journal of materials processing technology, Vol. 91, pp. 111–115, 1999.
2
[3] Nguyen, V T., Chen, Z., Thomson, P F., Prediction of spring-back in anisotropic sheet metals, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 218, pp. 651-661, 2004.
3
[4] Gau, J. T., Kinzel, G. L., A new model for springback prediction in which the Bauschinger effect is considered, International journal of mechanical sciences, Vol. 43, pp. 1813–1832, 2001.
4
[5] Lee, M.G., Kim, D., Kim, C., Wenner, M.L., Chung, K., Springback evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions- part III: applications, International journal of plasticity, Vol. 21, pp. 915–953, 2005.
5
[6] Taherizadeh, A., Green, D., Ghaei, A., Yoon, J-W., A non-associated constitutive model with mixed iso-kinematic hardening for finite element simulation of sheet metal forming, International journal of plasticity, Vol. 26, pp. 288–309, 2010.
6
[7] Chatti, S., Hermi, N., The effect of non-linear recovery on springback prediction, Journal of Computers and Structures, Vol. 89, pp. 1367-1377, 2011.
7
[8] Yu, H. Y., Variation of elastic modulus during plastic deformation and its influence on springback, Journal of Materials and Design, Vol. 30, pp. 846-850, 2009.
8
[9] Yoshida, F., Uemori, T., A model of large-strain cyclic plasticity describing the Bauschinger effect and work hardening stagnation, International journal of plasticity, Vol. 18, pp. 661-686, 2002.
9
[10] Ghaei, A., Green, D., Taherizadeh, A., Semi-implicit numerical integration of Yoshida–Uemori two-surface plasticity model, International journal of mechanical sciences, Vol. 52, pp. 531–540, 2010.
10
[11] Chatti, S., Modeling of the elastic modulus evolution in unloading-reloading stages,International Journal of Material Forming,Vol. 6, pp. 96-101, 2013.
11
[12] Vrh, M., Halilovič, M., Starman, B., A new anisotropic elasto-plastic model with degradation of elastic modulus for accurate springback simulations, International Journal of Material Forming,Vol. 4, pp. 217–225, 2011.
12
[13] Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth, part I: yield criteria and flow rules for porous ductile materials,Journal of Engineering Material Technology, Vol. 99, pp. 2–15.
13
[14] Lemaitre, J., A course on damage mechanics, Springer Verlag, Berlin, 1992.
14
[15] Lemaitre, J., Desmorat, R., Engineering damage mechanics, Springer Verlag, Berlin, Heidelberg, 2005.
15
[16] Meinders T, Burchitz IA, Bonte MHA, Lingbeek RA. Numerical product design, springback prediction, compensation and optimization. International Journal of Machining Tools Manufacture2008;48:499–514.
16
[17] I. Burchitz, Springback: improvement of its predictability, Literature study report, NIMR project MC1.02121, Netherlands institute for metals research, 2005.
17