非均匀变截面平面刚架稳态谐振动的新算法

A New Algorithm of Plane Rigid-Jointed Frames of Non-even Variable Sction for Resonance

给出了非均匀变截面刚架在任意谐振荷载和任意边界条件下的一个新的有限元解。此方法不须用变分原理,对刚架中任一变截面杆直接从微分方法出发,用矩阵迁移法直接推出单元刚度矩阵。大大减少了计算时间,节约了计算机内存,并有较高的数值精度,可同时计算变截面刚架的强度问题。

This paper shows a new finite element algorithen of the plane rigid-jointed frames of non-even variable section fo resonance on arbitrary boundary conditions.Seine the problems are summing up as the variable coefficient differential equations with non-positive property,it is difficult to solve the equations of the problems by the calculus of variations,this new algorithm derives the stiffness matrix of elements for the arbitrary variable section member of the rigid-jointed frames based on the differential equations of the problems.This algorithm has many good points.First,the computation times and the memory quantities are reduced in the course of the computation.Next,the accuracy of the computation results is increased.The compution resilts show that this algorithm is accurate and feasible in the examples.