用广义应变法解钣的大挠度问题

THE GENERIZED STRAIN METHOD FOR THE SOIUTION OF LARGE DEFLECTION OF PLATE

1.方法简介 在结构的有限元分析中,不管是线性或非线性,目前广泛采用的仍然是假设位移函数,并以节点位移作为基本未知量的位移法,而广义应变法则以广义应变作为基本未知量。所谓广义应变是指描述物体应变状态的一组相互独立的应变参数,比如等轴力杆元。

In finite element method the Total-Lagrangian (T. L) and Updated-Lagrangian (U. L) formulations are usually based on the displacement method. In this paper approximate equations are formulated by using the generalized strain method developed by professor Chen Baiping. The larg-e deflection analysis of clamped and simply supported rectangular and square plates under uniform load has been calculated by the above approach. The numerical results are compared favorably with other known solutions and experimental results.