齿轮传动的几何规划

Geometric planning of gear transmission

针对齿轮传动优化设计问题的目标函数和约束函数一般是广义多项式构成的特点,利用对偶原理,将高度非线性规划问题转变成具有线性约束的最优化问题求解,简洁方便,避免采用数值迭代计算的麻烦,而且有助于深入了解问题的某些特征。

Directed against the features that the objective function and restraint function for the optimal designing problems of gear transmission were constituted by generalized multinomial, and by the use of dual principle let the highly nonlinear planning problems be transformed into the solution of the optimized problems with linear restraint. This transformation is simple and convenient and avoided the trouble of adopting the numerical iterative calculation, and is conductive to make a deep understanding on certain characteristics of the problem.