涡轮盘随机结构可靠性研究

摘要：利用有限元软件对转子进行可靠性分析时，转子的结构以及其他设计参数都是以确定量来进行分析的, 不能实现设计参数为随机情况下的可靠性分析。以弹性力学为基础，从转子的微元体出发，推导出离心力和温度场同时对转子系统影响的等厚度和变厚度轮盘任意一点的应力计算式。考虑了转子随机结构尺寸、温度应力、转速和材料强度等参数的随机性，利用应力-强度没干涉模型、积分随机有限元和Gram-Charlier级数方法对转子进行可靠性分析，实现了转子系统随机结构的可靠性计算，且计算精度较高。

Research on reliability of turbine disk with random structure

Structure of a rotor and other design parameters are all viewed as constant using finite element software to analyze reliability of the rotor. In this case,reliability analysis of the rotor can't be realized for design parameters as random. Based on theory of elastic mechanics,starting with the micro element of the rotor,stress formulas on arbitrary point of turbine disc with equal and variable thickness are deducted under the influence of centrifugal force and temperature field on rotor system simultaneously. Considering the random of structural size of the turbine rotor,temperature stress,rotating speed,external loads and material strength,the reliability of a rotor is studied with stress-strength interference model,integral stochastic finite element method(ISFEM) and Gram-Charlier series method,and random structural reliability of the rotor is computed with higher accuracy.