NONLINEAR DYNAMICS ANALYSIS OF ALUMINUM HONEYCOMB SANDWICH PLATE WITH COMPLETED CLAMPED SUPPORTED
ZHANG Yingjie 1,2, YAN Yunhui 1, LI Yongqiang 2, LI Feng 2
1. School of Mechanical and Automation, Northeastern University, Shenyang 110819
2. College of Sciences, Northeastern University, Shenyang 110819
Cite this article:
ZHANG Yingjie YAN Yunhui LI Yongqiang LI Feng . NONLINEAR DYNAMICS ANALYSIS OF ALUMINUM HONEYCOMB SANDWICH PLATE WITH COMPLETED CLAMPED SUPPORTED. Acta Metall Sin, 2012, 48(8): 995-1004.
Abstract Study on the dynamics of aluminum honeycomb sandwich plates of composite structure material plays a key role for the special applications of the aerospace and automotive engineering. The nonlinear dynamics of honeycomb sandwich plate is explored. According to the classical plate theory and the large deformation, the governing equations of motion are established for the honeycomb sandwich plate subjected to the transversal excitation force by using the Hamilton’s law of variation principle. The transversal damping is taken into consideration. The method of normalization is utilized to transform the nonlinear vibration equations to nonlinear system with double modes of freedom. Numerical simulation is used directly to investigate the nonlinear responses of the honeycomb sandwich plate. The results indicates that the change of transversal excitation force has a significant effect on the vibration of honeycomb sandwich plate because the hexagon cell of core and the amplitude of the first modal are bigger than the second modal. In the different ranges of transversal excitation force, the honeycomb sandwich plate exists different dynamical phenomena. Single periodic motion appears when the force value is small, and periodic motion, multi–period motion, chaotic motion appears with the increase of force. Experiments are conducted to validate the numerical simulation results.
[1] Abd El–Sayed F K, Jones R, Burgess I W. Composites, 1979; 10: 209
[2] Gibson L J, Ashby M F, Schajer G S, Robertson C I. P Roy Soc A–Math Phy, 1982; 6: 25
[3] Wang Y J. Acta Sci Nat Univ Peking, 1991; 27: 302
(王颖坚. 北京大学学报, 1991; 27: 302)
[4] Silva M J, Hayes W C, Gibson L J. Int J Mech Sci, 1995; 37: 1161
[5] Torquato S, Gibiansky L V, Silva M J, Gibson L J. Int J Mech Sci, 1998; 40: 71
[6] Thompson R W, Matthews F L, O’Rourke B P. Mater Des, 1995; 16: 131
[7] Paik J K, Thayamballi A K, Kim G S. Thin Wall Struct, 1999; 35: 205
[8] Millar D. In: Ferguson N S, Wolfe H F, Mei C, eds., Proc 6th Int Conf on Recent Advances in Structural Dynamics, Southampton: Elsevier Applied Science, 1997: 995
[9] Sharma N, Gibson R F, Ayorinde E O. J Sandw Struct Mater, 2006; 8: 263
[10] Zou G P, Lu J, Cao Y, Liu B J. Acta Metall Sin, 2011; 47: 1181
(邹广平, 芦颉, 曹扬, 刘宝君. 金属学报, 2011; 47: 1181)
[11] Meo M, Vignjevic R, Marengo G. Int J Mech Sci, 2005; 47: 1301
[12] Staal R A, Mallinson G D, Jayaraman K, Horrigan D P W. J Sandw Struct Mater, 2009; 11: 203
[13] Horrigan D P W, Staal R A. J Sandw Struct Mater, 2011; 13: 111
[14] Saito T, Parbery R D, Okuno S. J Sound Vib, 1997; 208: 271
[15] Lai L. PhD Thesis, University of Toronto, 2002
[16] Nilsson E, Nilsson A C. J Sound Vib, 2002; 251: 409
[17] Ruzzene M. J Sound Vib, 2004; 277: 741
[18] Chen A, Davalos J F. Int J Solids Struct, 2005; 42: 2711
[19] Li Y Q, Jin Z Q, Wang W, Liu J. Chin J Mech Eng, 2008, 44: 165
(李永强, 金志强, 王薇, 刘杰. 机械工程学报, 2008; 44: 165)
[20] Li Y Q, Jin Z Q. Compos Struct, 2008; 83: 154
[21] Li Y Q, Zhu D W. Compos Struct, 2009; 88: 33
[22] Li Y Q, Li F, Zhu D W. Compos Struct, 2010; 92: 1110
[23] Sun J, Zhang W, Chen L H, Yao M H. J Dynam Control, 2008; 6: 150
(孙佳, 张伟, 陈丽华, 姚明辉. 动力学与控制学报, 2008; 6: 150)
[24] Fu M H, Yin J R. Acta Mech Sin, 1999; 31: 113
[25] Gorman D J. Free Vibration Analysis of Rectangular Plates. New York: Elsevier North Holland Inc, 1982: 75
