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为了满足汽轮机转子的高可靠性设计要求,利用ANSYS的APDL语言二次开发功能,考虑汽轮机转子材料物性参数和载荷参数等多随机变量同时作用的情况,将积分随机有限元法嵌入到ANSYS软件当中,编制汽轮机转子的多变量随机应力应变均值及其各阶中心矩的计算程序,通过与Monte-Carlo模拟方法相对比,验证了该方法的正确性。根据计算得出的汽轮机转子最大应变的各阶中心矩,通过Gram-Charlier级数拟合得到汽轮机转子应变随机响应的概率密度函数,并依据可靠度计算公式计算得出转子的可靠度。同样与直接Monte-Carlo模拟方法相比较,计算结果表明,两者相对误差较小,验证了采用级数拟合方法的合理性。
In order to meet the high reliability design requirements of steam turbine rotor, ANSYS APDL language secondary development function was used to consider the material parameters of the steam turbine rotor and the load parameters such as multi-random variables at the same time, the integral stochastic finite element method embedded in ANSYS software , A multivariable random stress-strain average of the steam turbine rotor and the program of calculating the center moment of each step are prepared. The correctness of the method is verified by comparing with the Monte-Carlo simulation method. According to the calculated central moments of the maximum strain of the steam turbine rotor, the probability density function of the random response of the turbine rotor strain is obtained by fitting the Gram-Charlier series. The reliability of the rotor is calculated according to the reliability formula. Compared with the direct Monte-Carlo simulation method, the calculation results show that the relative error between the two is small, which verifies the rationality of adopting the series fitting method.