求解Belleville圆锥弹簧问题算法的比较研究

A Comparative Study on the Algorithm of Solving Belleville Conical Springs

将文献[1]中Belleville圆锥弹簧问题的原始数学模型进行了化简,形成四种形式的非线性方程组模型.并利用解非线性方程组的MATLAB中的solve函数、fsolve函数及牛顿迭代法对四种模型分别求解,分析其数值结果与运行时间.为一般非线性方程组求解方法的选择提供了思路.

We simplify the original mathematical model of Belleville conical springs in [ 1 ] and derive four forms model ofnonlinear equation. By using the solve function and fsolve function for solving the nonlinear equation in Matlab and Newton iterationmethod, we solve the four models respectively and analyze the numerical results and running time. It provides a solving idea for solvingthe general nonlinear equation group.