透平机叶轮应力和变形计算的新优化方法

从计算机计算的特点出发，采用应力法，根据二阶常微分方程组的不同解法，给了了透平机叶轮在弹性范围内应力和变形计算的两种数值计算方法。1是将常微分方程组初值的龙格-库塔法与最优化计算方法相结合；2是将常微分方程组边值差分解法与最优化计算方法及3点插值法相结合。该方法克服了2次计算法的不足，特别适合编程用计算机计算求解。计算实表明该算法的计算结果跟解析值非常接近，误差很小，说明此算法是正确合理的。该方法实现了透平机叶轮应力和变形的快速和精确的计算，有一定的普遍意义，有较大的通用性和工程使用价值。

Optimization Method of Turbine Impeller's Stress and Deformation Calculation

Taking into the feature of computer computing method, using Stress solution of elasticity theory and according to different method of solving of system of second order ordinary differential equations , this article provides two numerical value computing method as for the stress and deformation of the turbine impeller which is within the scope of elasticity . One combines the initial value computing method of system of ordinary differential equations (Runge-Kutta Method) with optimization method, another combines the boundary value computing method of system of ordinary differential equations difference method-with optimization method and three points interpolation method . The proposed method can eliminate the deficiencies of Secondary Calculation method and is particularly suited for programmable computer-based solution . The sample show that results gotten by two methods is nearly equal to the precise results,so they are practicable. They completes the quick and precise calculating of stress and deformation . They have some general meaning , large commonality and the project employing value.