摘要
以有限变形连续体的最小加速度原理为基础 ,分别导出了在任意横向动力载荷作用下 ,各类典型工程边界条件下的梁 ,和在任意轴对称横向动力载荷作用下 ,各类典型工程边界条件下的圆板的有限变形运动方程。该方程反映了膜力效应和转动惯性效应 ;推导过程直接、简便、不易出错 ,同时指出 。
In this paper, the finite deformation equations of motion for beams and circular plate, which is subjected to normal loads, are derived by using the minimum principle in dynamics of elastic plastic continua at finite deformation, respectively. The effects of membrane force and the effects of rotatory inertia are reflected in the equation. It can be shown that the course of educing the equation is direct and straightforward, the error doesn′t produce easily. The equations are fitting to represent the impact dynamic problem of finite deformation structure.
出处
《山东建筑工程学院学报》
2000年第2期1-6,共6页
Journal of Shandong Institute of Architecture and Engineering
基金
国家自然科学基金! (1 9672 0 0 6)
山东省自然科学基金资助课题 !(Q99A1 2 )
关键词
有限变形
动力载荷
梁
圆板
运动学方程
equations of motion
beam
circular plate
minimum principle in dynamics of elastic -plastic continua
finite deformation
