一种非线性规划的求解方法与燃气发生器的设计

A NEW SOLUTION OF NONLINEAR PROGRAMMING APPLIED TO DESIGNING OF GAS GENERATOR

关键词:  非线性规划  燃气发生器  最优设计  区域扫描

Key words:  Nonlinear programming  Gas generator  Optimum design  Area scanning

摘要:

阐述了一种新的非线性规划的求解方法。即对每个参变量在其可能变化区间内，按照特定的步长依次代入约束方程来观察是否满足约束条件，从而求得若干组可行解。变量变化的步长通过非线性方程组各个方程在近似结点的全微分的分析获得。步长的确定是本方法的关键。文中并示范性列举了本方法在燃气发生器设计中的作用。

Abstract:

A new solution of nonlinear programming is discussed. To obtain several groups of feasible solving of nonlinear programming, every varialbe in its varying range must be put into the restrain equation according to the given step to seewhether it accords with the restrain condition. The steps of variables are determinedby analysing the full differential on nodes of the approximate solving of the nonlinear programming. Determining steps is the key of this. The application of thismethod solution to designing gas generator is also discussed as a example.