Chaotic motion of a nonlinear thermoelastic elliptic plate

被引：0

作者：

Qiang H. ^{[1
]}

Nianmei Z. ^{[2
]}

Guitong Y. ^{[2
]}

机构：

[1] Department of Mechanics, College of Traffic and Communications, South China University of Technology

[2] Institute of Applied Mechanics, Taiyuan University of Technology

来源：

Applied Mathematics and Mechanics | 1999年 / 20卷 / 9期

基金：

中国国家自然科学基金;

关键词：

Chaos; Melnikov function; Poincaré; mapping; Thermoelasticity;

D O I：

10.1007/BF02459058

中图分类号：

学科分类号：

摘要：

In the paper the nonlinear dynamic equation of a harmonically forced elliptic plate is derived, with the effects of large deflection of plate and thermoelasticity taken into account. The Melnikov function method is used to give the critical condition for chaotic motion. A demonstrative example is discussed through the Poincaré mapping, phase portrait and time history. Finally the path to chaotic motion is also discussed. Through the theoretical analysis and numerical computation some beneficial conclusions are obtained.

引用

页码：960 / 966

页数：6

共 6 条

[1]

Holms, P., Marsden, J., A partial differential equation with infinitely many periodic orbits: Chaotic oscillation of a forced beam[J] (1981) Arch Rat Mech and Analysis, 76 (2), pp. 135-165

[2]

Dinca, B.D., Mathematical models used in studying the chaotic vibration of buck-buckled beam[J] (1994) Mechanics Research Communications, 21 (2), pp. 189-196

[3]

Poddar, B., Moon, F.C., Mukherjee, S., Chaotic motion of an elastic-plastic beam[J] (1988) JAM, 55 (1), pp. 185-189

[4]

Nianmei, Z., Guitong, Y., The dydnamic subharmonic bifurcation and chaotic motion of a nonlinear elastic beam[J] (1996) Journal of Nonlinear Dynamics, 3 (2), pp. 265-274. , in Chinese

[5]

Qiang, H., Shanyuan, Z., Guitong, Y., The chaotic motion of an elastic arch under lateral load[J] (1997) Acta Mechanica Solida, 18, pp. 67-71. , in Chinese

[6]

Qiang, H., (1996) Study on the Dynamic Buckling, Bifurcation and Chaotic Motion of Several Structures[D], , Doctor' s Thesis. Taiyuan: Taiyuan University of Technology, in Chinese

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