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考虑汽轮机叶片设计参数的选取存在不确定性,利用非概率可靠性理论并结合区间有限元方法对汽轮机叶片的静态结构响应进行了研究.由于不确定参数确定的区间有限元控制方程中系数可能存在相关性,利用泰勒展开对非线性的区间刚度矩阵进行线性化处理,避免系数之间的相关性,采用改进迭代解法求解区间有限元控制方程,获得叶片静态结构响应(即应力和变形)的区间范围,并结合实例对叶片响应值与解析解进行了比较.结果表明:改进迭代解法的计算结果能够满足工程应用,并且可定量判断出叶片的可靠程度.
Considering the uncertainties of turbine blade design parameters, the non-probabilistic reliability theory and the finite element method are used to study the static structural response of steam turbine blades. Because of the uncertainties, the coefficients in the finite element equations may exist Taylor series expansion is used to linearize the nonlinear interval stiffness matrix to avoid the correlation between the coefficients. The improved iterative method is used to solve the governing equations of the finite element equations, and the interval of the static structural response (ie, stress and deformation) of the blade is obtained The results show that the calculation results of the improved iterative method can meet the engineering application and the reliability of the blade can be quantitatively determined.