Stability Analysis of Rectangular Plate Based on Catastrophe Theory
Plates and shells are well used in structures. In order to study the nonlinear stability of plate, the total potential energy expression was deduced after analyzing the geometrical conditions of four ends simply supported rectangular plate on large deflection, the cusp catastrophic model of the rectangular plate was established based on catastrophe theory, and the bifurcation set that makes the system unstable was obtained to analyze the instability conditions of rectangular plate. The instability conditions of rectangular plate were analyzed based on this set, the critical inner stress is at the cusp point, the necessary condition of instability is σ > σcr, but the plate is stable when the movement path of control variables composed by inner stress and landscape load not across the bifurcation curves in the control space. Structures in some projects can be predigested to such a rectangular plate and this cusp catastrophic model can be used for analyzing its instability conditions for taking preventive measures.
rectangular plate stability catastrophe theory cusp catastrophe model
JIN Guofeng ZHANG Wei SONG Yuanjia YANG Zhengwei TIAN Gan
Xian Research Institute of High Technology, Hongqing Town, Xian 710025, China
国际会议
大连
英文
968-972
2011-10-19（万方平台首次上网日期，不代表论文的发表时间）