受横向轨迹动载作用下固支圆板动力响应的解析解  

Analytical Solution for Dynamic Response of Clamped Circular Plate Under Transverse Moving Load

作　　者：赵莹[1] 聂国华[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《力学季刊》2013年第3期423-428,共6页Chinese Quarterly of Mechanics

摘　　要：给出了横向轨迹动载作用下周边固支的各向同性圆薄板动力响应的解析解。基于圆板的特征模态,采用一类贝赛尔函数组合的正交函数,推导获得了无量纲形式的结构位移响应的级数解。结构响应计算归结为确定与频率相关的特征系数。同时,给出了算例分析,具体针对板面上载荷沿着某一直线运动的情况,对解的收敛性进行了检验,并阐述了圆板位移响应规律。An analytical solution for dynamic response of an isotropic thin clamped circular plate under a concentrated load moving along a prescribed trajectory was presented. Based on the eigenmodes for the circular plate, a class of orthogonal functions from a combination of Bessel functions was used to construct the series solution for deflection of the plate in a non-dimensional form. The dynamic response was evalu- ated by determination on some coefficients related to frequencies. It was assumed that the load moves a- long a straight line on the surface of the plate in numerical calculation. Numerical examples were given to illustrate the displacement response of the plate. In addition, the convergence of the solution was examined

关 键 词：固支圆板 轨迹 动力响应 贝赛尔函数 解析解 

分 类 号：O347[理学—固体力学]