Analysis of thin parallelogram plates' bending by spline-finite-strip method

Spline finite strip has been successfully applied in solving right plates and shells by Cheung et al in 1982. In this paper, the method is extended to the analysis of parallelogram plate. This extension still retains the banded nature of the spline finite strip and only small amount of extra computing effort is required. Furthermore, the discretisation error of the above method is established theoretically as a general case for the spline finite strip method.     

ANALYSIS OF THIN PARALLELOGRAM PLATES′BENDING BY SPLINE-FINITE-STRIP METHOD

Spline finite strip has been successfully applied in solving right plates and shells by Cheung et al in 1982. In this paper, the method is extended to the analysis of parallelogram plate. This extension still retains the banded nature of the spline finite strip and only small amount of extra computing effort is required. Further-more, the discretisation error of the above method is established theoretically as a general case for the spline finite strip method.     

解平行四边形薄板弯曲问题的样条有限条法

Y.K.Cheung等(1982)用样条有限条方法成功地求解了矩形板和壳的问题.本文将此法作少许的修正用于分析平行四边形板,这一修正只增加少许的计算量,但仍保持有限条法的良好性质(如带状性质等)本文还给出方法的误差估计和数值算例.     

RLW方程的Lagrange型二次广义差分法和双孤立波碰撞过程的数值模拟

本文提出一种求解正则长波(RLW)方程初边值问题的Lagrange型二次广义差分法,计算格式简单有效。利用该算法,我们数值模拟了单孤立波传播和双孤立波碰撞的过程。前者与精确解比较是相当吻合的。文章给出半离散和全离散格式的误差