从梯形齿同步带的材料非线性问题入手，以弹性平面问题的有限元法解平面应力问题为基础，引入梯形齿同步带的非线性有限元解法，即求解非线性问题的变刚度迭代法。用此方法对梯形齿同步带一个齿上的平面问题的应力分布进行了有限元分析研究。最后，通过一个具体算例求出梯形齿同步带一个齿上的最大应力点及应力分布规律并与弹性平面问题的解进行了比较。 Based on the material nonlinearity of the trapezoidal tooth timing belt, the nonlinear finite element method of the trapezoidal tooth timing belt is introduced based on the solution of the plane stress of the finite element method of the elastic plane problem. That is, the variable stiffness iteration method is used to solve the nonlinear problem. The finite element analysis of the stress distribution on the plane of one tooth of the trapezoidal tooth timing belt is carried out by this method. Finally, the maximum stress point and stress distribution on one tooth of the trapezoidal tooth timing belt are calculated by a concrete example and compared with the solution of the elastic plane problem.