几何非线性对旋转园柱壳振动特性的影响
摘要
本文动用有限元法,采用九结点超参数壳单元计算放置园柱壳的振动特性,考虑了横向剪切以及轴向变形的影响。对于旋转园柱壳达到平衡位置以前的状态,用大变形非线笥板壳理论处理,并假设园柱壳在平衡位置附近作微振动,建模中考虑了科氏力,离心力,初应力以及由大变形引起的几何非线性的影响,通过对一个一固定一端自由的旋转园柱壳在考虑和不考虑大变形几何非线性这两种情况下的比较。
参考文献7
-
1Bryan G H.On the beats in the vibration of revolving cylinder or bell.Proceedings of the Cambridge Philosophical Society,1890,7:101-111.
-
2Dr Taranto R A,Lesson M.Coriolis acceleration effect on vibration of a rotating thin-walled circular cylinder.Journal of Applied Mechanics,1964,31:700-710.
-
3Saito T,Endo M Vibration of finite length rotating cylindrical shells.Journal of Sound and Vibration,1986,107:17-28.
-
4Endo M,Hatamura K,Sakata M,Taniguch O.Flexural vibration of thin rotating.Journal of Sound and Vibration,1984,92:261-272.
-
5Padovan J Traveling waves vibration and buckling of rotating anlsotropic shells of revolution by finite element,International Journal of Solids and Structures,1975,11:1367-1380.
-
6Chen Y,Zhao H B,Shen Z P.Vibration of high speed rotating shells with calculations for cylindrical shells,Journal of Sound and Vibration,1993,160:137-160.
-
7Hinton E,Dr Owen.Finite element software for plate and shells Swansea,UK,1984.