圆柱壳在两种非轴对称同步移动载荷作用下的动力响应  

DYNAMIC RESPONSE OF CYLINDRICAL SHELLS UNDER TWO KINDS OF NON-AXISYMMETRIC SYNCHRONOUS MOVING LOADS

作　　者：赵建波[1] 白象忠[1] 司秀勇[1] 

机构地区：[1]燕山大学建筑工程与力学学院,秦皇岛066004

出　　处：《固体力学学报》2012年第5期515-522,共8页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(50875230)资助

摘　　要：论文根据工程实例计算的需要,研究了有限长弹性圆柱薄壳在两种非轴对称同步移动载荷作用下的动力响应问题.两种非轴对称同步移动载荷作用是指非轴对称移动的集中载荷,以及同步移动且作用范围随移动位置增加的均布载荷的共同作用.建立了在上述两种不同类型载荷作用下的具有对称形式的动力学微分方程组;分别采用Dirac函数与Heaviside函数表示移动的均布载荷与集中载荷,设定位移函数的基础上,应用Galerkin法及Laplace变换,求得了圆柱薄壳应力与位移动态响应的解析解;通过具体算例,将所得到解析解的计算结果与ANSYS数值解进行了对比分析,验证了解析解的可靠性.Dynamic response of a length-limited elastic cylindrical shell is researched to meet engineer-ing requirements,on which non-axisymmetric loads consist of a moving concentrated load and an uniformly distributed load with synchronously increasing range of action. Dynamic differential equations with sym- metrical forms are derived,and the two moving loads are expressed by the Dirac function and the Heaviside function. Based on the assumed displacement functions, the analytical dynamic solutions to the displacement and stress of the cylindrical shell are obtained by means of the Galerkin method and Laplace transforma-tion. The algorithm is verified through the comparative analysis of the analytical solutions and the ANSYS numerical solutions for a specific example.

关 键 词：圆柱壳 非轴对称移动载荷 位移 应力 动力响应 解析解 

分 类 号：TB122[理学—工程力学]