摘要
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 uncertainty of turbine blade design parameters, static response of blade was studied based on non-probabilistic reliability theory and interval finite element method. To avoid the corre- lation possibly existing among the coefficients of interval finite element equations determined by uncertain parameters, the non linear interval stiffness matrix was linearized using Taylor expansion, while the inter- val finite element equations solved by use of the improved iterative algorithm so as to obtain fluctuation range of blade's structural static response (stress and deformation). Combined with examples, a compari- son has been made to the static response respectively obtained hy analytical method and improved iterative algorithm. Results show that the improved iterative algorithm can satisfy the requirement of actual engi- neering projects, which may help to quantitatively determine the reliability of blade.
出处
《动力工程学报》
CAS
CSCD
北大核心
2012年第4期296-301,337,共7页
Journal of Chinese Society of Power Engineering
关键词
汽轮机
叶片
区间有限元
非概率可靠性
不确定性
静态响应
steam turbine
blade
interval finite element
non-probabilistic reliability
uncertainty
staticresponse
作者简介
韩志杰(1980),男,河北藁城人,博士研究生,研究方向为:大型设备的可靠性及优化设计,电话(Tel):0312-7525044,Email:han_1980@l63.com