用优化方法解接触问题—试算谐波减速器中的柔轮应力
Solve a Contact Problem by Optimization Method——to Calculate the Stresses for the Softwheel in a Harmonic Gear
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摘要: 直接应用通常的有限单元程序来解接触问题会遇到数值困难.本文用极值形式表达接触问题,并用优化方法求解.它并不要求事先给出所有边界条件,而只要给出约束条件就可以了,因而特别适宜于求解接触问题.用本文提出的方法对上海交大制造的谐波减速器中的柔轮应力进行了试算,结果与实验数据基本相符.Abstract: It is difficult to solve the contact problem by usual finite element program. In this paper, we express the contact problem as an optimization problem. In this form we do not need to know all boundary condition in advance. We only need to know the constraint conditions. This method is especially good for solving contact problem. Using this method, we calculate the stresses of the softwheel in the harmonic gear given by Shanghai Jiaotong University, and the results are in good agreement with the experimental results.
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