压应力波作用下薄板弹性动力屈曲的数值解法  

Difference Solution for Dynamic Buckling of Thin-walled Plates Under Elastic Compression Wave

作　　者：施连会[1] 王安稳[1] 

机构地区：[1]海军工程大学理学院,武汉430033

出　　处：《武汉理工大学学报（交通科学与工程版）》2009年第5期916-918,922,共4页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：国家自然科学基金项目资助(批准号:10272114)

摘　　要：利用哈密顿原理和相邻平衡准则导出了薄板动力屈曲控制方程,根据能量关系推导了屈曲瞬间能量转换率守恒方程,进而得出了压缩波前屈曲变形的附加约束条件,由此得到了求解薄板动力屈曲问题的完备定解条件.利用差分方法求解了薄板的控制方程,解出了动力屈曲模态以及临界力参数和动力特征参数的值并对比分析了静、动力屈曲模态的差别.The governing equations for dynamic buckling of thin-walled plates are derived by use of Hamilton＇s theorem and adjacent-equilibrium criterion. The conservation criterion for the rate of the energy transformation in the buckling instant is derived, by use of which the supplementary restraint condition for buckling deformation at the front of the compression wave is obtained. Then the sufficient conditions for solving the dynamic buckling problem of thin-walled plates are obtained. By the finite difference method, the governing equations are solved and dynamic buckling modes and the values of the critical load parameter and the dynamic characteristic parameter are calculated, and the differences between the static buckling modes and the dynamic buckling modes are compared and analyzed.

关 键 词：动力屈曲 薄板 应力波 特征参数 差分解 

分 类 号：O347[理学—固体力学]