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具有频率约束条件的蜗壳优化设计
引用本文:白新理,刘桂荣,杨开云,刘振强,梁醒培.具有频率约束条件的蜗壳优化设计[J].水力发电,2005,31(6):36-37.
作者姓名:白新理  刘桂荣  杨开云  刘振强  梁醒培
作者单位:1. 华北水利水电学院,河南,郑州,450011
2. 郑州机械研究所,河南,郑州,450052
基金项目: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。

关 键 词:有限元法  结构优化  固有频率  灵敏度  解析法  蜗壳
文章编号:0559-9342(2005)06-0036-02

Optimal design of a scroll case with natural frequency constraints
BAI Xin-li,LIU Gui-rong,YANG Kai-yun,LIU Zhen-qiang,LIANG Xing-pei.Optimal design of a scroll case with natural frequency constraints[J].Water Power,2005,31(6):36-37.
Authors:BAI Xin-li  LIU Gui-rong  YANG Kai-yun  LIU Zhen-qiang  LIANG Xing-pei
Affiliation:Bai Xin-li1,Liu Gui-rong1,Yang Kai-yun1,Liu Zhen-qiang1,Liang Xing-pei2
Abstract: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.
Keywords:FEM  structural optimization  natural frequency  sensitivity  analytic method  scroll case
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