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一、前言橡胶塑料机械、轧钢机械或锻压等机械上的辊筒,工程上的破坏原因多为断裂破坏,为了对它进行断裂力学分析,首先必须给出精确的应力场。辊筒的几何形体虽然是轴对称的旋转体,但由于其载荷皆为非轴对称的,因而仍然是一个三维的空间问题。这类问题当然可以采用三维空间问题有限元法来进行应力分析,但如果采用空间单元,必将使工作量大大增加,即计算时间太长和占用的存储空间太多,这就给问题的解决带来一定困难。本文应用有限元半解析法将非轴对称载荷沿Q方向展成富里叶级数,把级数展开中
First, the foreword Rubber and plastics machinery, rolling machinery or forging and other mechanical roller, engineering damage due to fracture damage, in order to fracture mechanics analysis of it, we must first give accurate stress field. Although the geometry of the roller is an axisymmetric rotating body, it is still a three-dimensional space problem due to its non-axisymmetric load. Of course, this type of problem can be solved by stress analysis using the three-dimensional finite element method. However, if the space unit is used, the workload will be greatly increased, which means that the calculation time is too long and the storage space occupied is too much, which solves the problem Bring some difficulties. In this paper, the non-axisymmetric loads are developed into Fourier series along the Q direction by finite element semi-analytical method.