弹性压应力波作用下矩形薄板动力屈曲解析解  

ANALYTICAL RESOLUTION TO DYNAMIC BUCKLING OF RECTANGULAR THIN PLATES UNDER ELASTIC COMPRESSION WAVE

作　　者：韩大伟[1] 王安稳[1] 

机构地区：[1]海军工程大学理学院力学系,武汉430033

出　　处：《工程力学》2012年第11期12-15,共4页Engineering Mechanics

基　　金：国家自然科学技术基金项目(10772196)

摘　　要：根据板的非线性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。求得的屈曲模态与之前文献中用差分解得出的结果吻合良好。Based on a twin-characteristic-parameter method and stress wave theory, dynamic buckling displacements of rectangular thin plates subjected to axial in-plane impact are obtained analytically by solving nonlinear equations for the 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 buckling modes obtained agree well with those obtained by difference methods in former literatures.

关 键 词：动力屈曲 矩形薄板 双特征参数法 解析解 应力波 

分 类 号：O347[理学—固体力学]