摘要
在介绍圆柱厚壳应力与位移理论分析发展的前提下,建立了有限长圆柱厚壳在非轴对称移动载荷作用下的三维力学模型,假设沿厚度方向径向剪切应变二次分布、径向正应变线性分布,且建立了为满足边界条件待定的位移表达式,采用Heaviside函数和Dirac函数表达移动和作用变化着的移动载荷的基础上,用最小势能原理建立了该圆柱厚壳的动力学微分方程组,应用Galerkin法和修正的Runge-Kutta-Fehlberg法,求得了非轴对称移动载荷作用下的圆柱厚壳的动力响应。通过具体算例,对有限长圆柱厚壳的位移响应和应力状态进行了分析,并将动态响应的理论解与ANSYS数值解进行了对比,从而相互印证了解的可靠性。
The theoretical study history of cylindrical thick shells＇ stress and displacement was firstly reviewed,and a 3D mechanical model of a length-limited cylindrical thick shell under non-axisymmetric moving loads was established.Then,based on the assumption of radial shear strains with quadratic distribution and radial normal strains with linear distribution along the radial coordinate,its displacement expressions satisfying boundary conditions were established.The non-axisymmetric loads were expressed with Heaviside function and Dirac function,and the dynamic differential equations of the shell were derived using the minimum potential energy principle.Using Galerkin method and the modified RungeKutta-Fehlberg method,the dynamic responses of the cylindrical thick shell under non-axisymmetric moving loads were obtained.This method was verified with a comparative analysis of the theoretical solutions and ANSYS numerical results of an example.
出处
《振动与冲击》
EI
CSCD
北大核心
2013年第14期185-191,共7页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(50875230)
关键词
圆柱厚壳
非轴对称移动载荷
最小势能原理
动力响应
位移
应力
cylindrical thick shells
non-axisymmetric moving loads
minimum potential energy principle
dynamic response
displacement
stress
作者简介
赵建波 男，博士生，讲师，1980年生
通讯作者 白象忠 男，教授，博士生导师，1942年生
