Paper Title:
Bifurcation and Chaos of the Rectangular Moderate Thickness Cracked Plates on an Elastic Foundation
  Abstract

Based on Reissner plate theory and using Hamilton variational principle, the nonlinear equations of motion are derived for the moderate thickness rectangular plates with transverse surface penetrating crack on an elastic foundation under the action of periodic load. The suitable expressions of trial functions satisfied all boundary conditions and crack’s continuous conditions are proposed. By using the Galerkin method and the Runge-Kutta integration method, the nonlinear equations are solved. The possible bifurcation and chaos of the system are analyzed under the action of external load. In numerical calculation, the influences of the different location and depth of crack and external load on the bifurcation and chaos of the rectangular moderate thickness plates with freely supported boundary are discussed.

  Info
Periodical
Key Engineering Materials (Volumes 324-325)
Edited by
M.H. Aliabadi, Qingfen Li, Li Li and F.-G. Buchholz
Pages
399-402
DOI
10.4028/www.scientific.net/KEM.324-325.399
Citation
Y. G. Xiao, "Bifurcation and Chaos of the Rectangular Moderate Thickness Cracked Plates on an Elastic Foundation ", Key Engineering Materials, Vols. 324-325, pp. 399-402, 2006
Online since
November 2006
Authors
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Ze Jin Shang, Zhong Min Wang
Abstract:The recovery force of shape memory alloy spring is described by using polynomial constitutive equation. The nonlinear dynamic model of forced...
3958
Authors: Chao Feng Li, Qin Liang Li, Jie Liu, Bang Chun Wen
Chapter 1: Mechatronics and Automation
Abstract:Multi-DOF model of double-disc rotor-bearing system taking crack and oil film support into account is established, and the continuation...
3
Authors: Xiao Sun Wang, Shi Jing Wu, Ji Cai Hu, Jie Chen
Chapter 5: Mechanical Engineering
Abstract:The spur gear pair’s nonlinear equation of motion including piece-wise backlash and internal error excitation is derived in this research....
506