三边简支一边固支矩形薄板动力屈曲解析解

PDF(1195 KB)

振动与冲击 ›› 2013, Vol. 32 ›› Issue (2) : 140-142.

论文

三边简支一边固支矩形薄板动力屈曲解析解

韩大伟，王安稳

作者信息 +

Analytical resolution to dynamic buckling of rectangular thin plates withone edge clamped and the other three edges simply supported

HAN Da-wei, WANG An-wen

Author information +

文章历史 +

摘要

根据板的动力平衡方程和压缩波前附加约束方程，基于双特征参数法和应力波理论，求解了三边简支一边固支矩形薄板在面内轴向冲击载荷作用下动力屈曲位移的解析解。揭示了矩形薄板动力屈曲过程中板的厚宽比、屈曲模态、冲击载荷大小和临界屈曲长度之间的关系。计算结果表明，由于横向惯性效应的存在，动力屈曲的临界载荷要比静力屈曲的大得多。

Abstract

Based on twin-characteristic-parameter method and stress wave theory, dynamic buckling displacements of rectangular thin plates with one edge clamped and the other three edges simply supported subject to axial in-plane impact are obtained analytically by solving the equations for dynamic balance with a supplementary restraint-equation at the compression-wave front. In the dynamic buckling process of the rectangular thin plate, the relations of its thickness-width rate, the amplitude of impulsive loads, buckling modes and critical buckling length are found out. The results indicate that, for the existance of transverse inertia effect, the critical load of dynamic buckling is much bigger than that of static buckling.

导出引用

韩大伟;王安稳. 三边简支一边固支矩形薄板动力屈曲解析解[J]. 振动与冲击, 2013, 32(2): 140-142

HAN Da-wei;WANG An-wen. Analytical resolution to dynamic buckling of rectangular thin plates withone edge clamped and the other three edges simply supported[J]. Journal of Vibration and Shock, 2013, 32(2): 140-142