摘要
建立了由样条函数表示的螺旋锥齿轮副齿面接触点的求解模型———带区间的五元三次非线性方程组 .为了避免拟牛顿法解带区间非线性方程组不收敛的缺陷 ,将此方程组转化为一带约束优化求极小值问题 ,并选用复合形法使问题得以解决 .所提出的方法具有简单、稳定、可靠。
After establishing the model of solving the contacting points of two bevel gear tooth surfaces expressed by B SPLINE function, the author changes the model to an boundary limited optimization and uses “BOX” method to solve the problem. This method can avoid convergence, which may occur if “NEWTON” is selected. Furthermore, there are no need to select a starting iterative point, as we need in the procession is the objective function′s value.
出处
《华中理工大学学报》
CSCD
北大核心
2000年第6期101-103,共3页
Journal of Huazhong University of Science and Technology
基金
国家自然科学基金资助项目! (5 9775 0 87) .
关键词
螺旋锥齿轮
齿面拟合
接触分析
齿轮加工
最优化
bevel gear
tooth surface fitting
nonlinear equations
constrained limited optimization
