用样条有限点法分析梁和薄板的弹塑性弯曲

AN ANALYSIS OF ELASTIC-PLASTIC BENDING FOR BEAMS AND THIN PLATES WITH SPLINE FINITE POINTS METHOD

本文首次用样条有限点法(SFPM),分析了梁和薄板的弹塑性弯曲,并给出了计算实例。通过计算表明:SFPM具有方法简单、节约内存、计算精度高等优点。对于规则区域的特殊问题,SFPM做为有限元法的一种补充,是一种有效的数值分析方法。

A Spline Finite Points Method (SFPM) of analysis elastic-plastic bending for beams and thin plates is firstly presented in the paper. Several numerical results are presented. From analyses, it is known that the SFPM is simpler, higher accuracy and more economy method in computing storage and time requirements than the Finite Element Method. It is easily carried out by a computer. This method is an effective method of numerical analysis on the special reqular region. Therefor, the SFPM is a mutual complement with the Finite Element Method. It will may be applied broadily by the engineers.