基于半解析有限元的结构载荷传递规律可视化

Explicit Expression of Load Transferred Law Inside Structure Based on Semi-Analytic Finite Element Method

针对结构内部载荷传递规律的量化表达问题,提出了一种基于半解析有限元的载荷传递规律可视化方法。给出了结构内局部区域载荷传递量可视化的基本原理,利用半解析有限元法推导了结构内部载荷传递量计算的数学表达。借助单元生死技术模拟载荷传递量计算过程中结构内局部区域材料的不断移除与恢复过程,并通过二次开发给出载荷传递规律的可视化流程。以矩形悬臂平板、带孔平板、三点弯曲平板和三维弯曲梁结构为例,分别计算其内部载荷传递规律,得到了结构内部载荷传递的大小及方向。

Aiming at the problem of quantitative expression of load transferred law inside a given structure,a visualization method of load transferred law based on semi-analytical finite element method is proposed.The basic principle of calculating the load transferred amount in the local area is defined.Based on the semi-analytic finite element method,the mathematical expression of the load transferred calculation is derived.The continuous removal and recovery of local materials in the structure is simulated by using the element life and death technology.And the visualization process of load transferred law is given through secondary development.Taking rectangular cantilever plate,plate with hole,three-point bending plate and bending beam as examples,the load transferred law inside the structure are calculated respectively.The quantitative expression of the load transferred law not only gives the size of the load transferred in local region,but also gives the direction of the load.