Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (4): 360-364.

• 论文 • 上一篇    下一篇

THE DOUBLE MODE MODEL OF THE CHAOTIC MOTION FOR A LARGE DEFLECTION PLATE

树学锋, 韩强, 杨桂通   

  1. Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China
  • 收稿日期:1998-01-06 修回日期:1998-09-15 出版日期:1999-04-18 发布日期:1999-04-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(19672038)and the Natural Science Foundation of Shanxi Province(981006)

THE DOUBLE MODE MODEL OF THE CHAOTIC MOTION FOR A LARGE DEFLECTION PLATE

Shu Xuefeng, Han Qiang, Yang Guitong   

  1. Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China
  • Received:1998-01-06 Revised:1998-09-15 Online:1999-04-18 Published:1999-04-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China(19672038)and the Natural Science Foundation of Shanxi Province(981006)

PDF

766

摘要： The primary aim of this paper is to study the chaotic motion of a large deflection plate. Considered here is a buckled plate, which is simply supported and subjected to a lateral harmonic excitation. At first, the partial differential equation governing the transverse vibration of the plate is derived. Then, by means of the Galerkin approach, the partial differential equation is simplified into a set of two ordinary differential equations. It is proved that the double mode model is identical with the single mode model. The Melnikov method is used to give the approximate excitation thresholds for the occurrence of the chaotic vibration. Finally numerical computation is carried out.

关键词: buckled plate, chaos, Poincar? section

Abstract: The primary aim of this paper is to study the chaotic motion of a large deflection plate. Considered here is a buckled plate, which is simply supported and subjected to a lateral harmonic excitation. At first, the partial differential equation governing the transverse vibration of the plate is derived. Then, by means of the Galerkin approach, the partial differential equation is simplified into a set of two ordinary differential equations. It is proved that the double mode model is identical with the single mode model. The Melnikov method is used to give the approximate excitation thresholds for the occurrence of the chaotic vibration. Finally numerical computation is carried out.

Key words: buckled plate, chaos, Poincar? section

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn