具有频率约束条件的蜗壳优化设计  

Optimal design of a scroll case with natural frequency constraints

作　　者：白新理[1] 刘桂荣[1] 杨开云[1] 刘振强[1] 梁醒培[2] 

机构地区：[1]华北水利水电学院 [2]郑州机械研究所

出　　处：《水力发电》2005年第6期36-37,共2页Water Power

基　　金：水利部科技创新基金资助项目(SCX2001-15)

摘　　要：用解析法推导了计算结构固有频率灵敏度的公式,并给出了板单元刚度矩阵和质量矩阵分别对设计变量的偏导数,又在有限元程序的基础上研制出了用解析法求频率灵敏度的程序。将该程序应用于某水电站水轮机组蜗壳的优化设计中,得到了设计单位的肯定。Formulas are derived in this paper to calculate the natural frequency sensitivity for a structure using analytic method, and the partial derivatives of stiffness matrix and mass matrix of plate element respectively to the design variables are given. Based upon a FE procedure, a program is compiled to calculate sensitivity by analytic method, and finally applied to the optimal design of a scroll case. The results are acceptable.

关 键 词：有限元法 结构优化 固有频率 灵敏度 解析法 蜗壳 

分 类 号：TK730.312[交通运输工程—轮机工程]