计算物理 ›› 1987, Vol. 4 ›› Issue (2): 129-136.

• 论文 •    下一篇

简支梁大挠度非线性振动中的突变和混沌

酆庆增   

  1. 北京大学, 力学系
  • 收稿日期:1987-01-29 出版日期:1987-06-25 发布日期:1987-06-25

CATASTROPHE AND CHAOS IN NONLINEAR VIBRATIONS OF A BEAM SUPPORTED BY HINGE AND ROLL

Feng Ching-zhen   

  1. Department of Mechanics, Peking University
  • Received:1987-01-29 Online:1987-06-25 Published:1987-06-25

摘要: 本文研究由于大挠度引起的曲率非线性对简支梁振动的影响。用Галёркин法可导得一组非线性的积分一微分方程。计算表明,这一非线性系统具有尖点突变和混沌等有趣的动力学行为。

Abstract: We investigate the effect of nonlinear curvature on vibrations of an elastic simple supported beam and roller with large deflection.A set of nonlinear integro-differential.equations is derived by use of Galerkin approximation.Computations show that the system has interesting dynamical behaviors such as cusp catastrophe and chaos.