U型波纹管的非线性特性摄动法计算
The Nonlinear Characteristics of U-Shaped Bellows——Calculations by the Method of Perturbation
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摘要: 本文利用圆环壳的一般解[1],引用小参数摄动理论,求得U型波纹管的线性精确解和非线性解.Abstract: In this paper, the linear exact solution and nonlinear solution for U-shaped bellows have been obtained by using the general solution of circular ring shell[1] and the method of perturbation.
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[1] 钱伟长、郑思裸,半圆弧波纹管的计算-环壳一般解的应用,应用数学和力学,2,1(1981). [2] 钱伟长、林鸿荪、胡海昌、叶开沉.弹性圆薄板大挠度问题,中国科学院(1 954). [3] 陈山林,S型波纹管的轴对称应力和位移,清华大学研究生毕业论文(1980). [4] Hamada,M,and S,Takezono,Strength of U-shaped bellows,Bull,JSML,18.32(1965). [5] Hamada,M,and S,Takezono,Strength of U-shaped bellows,Bull.JSME,19.35(1966). [6] Ôta,T,and M.Hamada,On the strength of toroidal shell,Bull,JSME.16,24(1963). [7] ААндреева.Л.Е.,СилъФоны,Расчет и Проектирование,Машиностроение(1975). [8] 谢志成、郑思樑、付承诵.有曲率突变轴对称壳(波纹壳)的有限元解,应用数学和力学,2,1(1981). -
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