解任意轴对称载荷作用下弹性圆板大挠度问题的修正动力松弛法

Improved Dynamic Relaxation Solution of Elastic Circular Plates under Arbitrarily Distributed Axisymmetric Loads

本文用作者提出的修正的动力松弛方法,求解了任意轴对称载荷作用下弹性圆板的大挠度弯曲问题,并与相应的摄动解作了比较。结果表明,修正的自适应动力松弛方法用于解非线性问题具有较大的潜力。

The paper analyses the large deformation of circular elastic plates subjected to arbitrarily distributed loads by the Improved Dynamic Relaxation (IDR ) method which is proposed by the author. Numerical results are obtained and compared with corresponding perturbation solutions. It shows that the IDR method possesses vast vistas of application to nonlinear problems.