A Generalized Variationai Principle of Composite Shallow Shells and Its Application to the Folded Shell

Ni Hai-ying; Tong Jing-yu

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(7): 629-636

Ni Hai-ying, Tong Jing-yu. A Generalized Variationai Principle of Composite Shallow Shells and Its Application to the Folded Shell[J]. Applied Mathematics and Mechanics, 1986, 7(7): 629-636.

Citation:

Ni Hai-ying, Tong Jing-yu. A Generalized Variationai Principle of Composite Shallow Shells and Its Application to the Folded Shell[J]. Applied Mathematics and Mechanics, 1986, 7(7): 629-636.

Citation:

Ni Hai-ying, Tong Jing-yu. A Generalized Variationai Principle of Composite Shallow Shells and Its Application to the Folded Shell[J]. Applied Mathematics and Mechanics, 1986, 7(7): 629-636.

PDF( 485 KB)

A Generalized Variationai Principle of Composite Shallow Shells and Its Application to the Folded Shell

Zhejiang University, Hangzhou

Received Date: 1985-06-01
Publish Date: 1986-07-15

Abstract

Abstract

In this paper, a generalized variational principle of elastodynamics in composite shallow shells with edge beams is presented, and its equivalence to corresponding basic equations, ridge conditions and boundary conditions is proved. Then this variational principle is applied to the folded shell structure. By means of double series, the approximate analytical solutions for statics and dynamics under common boundary conditions are obtained. The comparison of our results with FEM computations and experiments shows the analytical solutions have good convergence and their accuracy is quite satisfactory.

FullText(HTML)

References(8)

References

[1]	钱伟长,《变分法及有限元》,科学出版社(1980).
[2]	钱伟长,《广义变分原理》,知识出版社(1985).
[3]	Gurtin,M,E,,Variational principles for linear elastodynamics,,Archive for Rational Mechanics and Analysis,16,1(1963).
[4]	刘世宁,弹性扁壳的广义变分原理及扁壳理论的某些问题,力学学报,1(1963).
[5]	倪海鹰,应用广义变分原理研究幕壳的静动力问题,浙江大学硕士学位论文(1984).
[6]	Ониашвили О.Д.,Неноморые Дцнамцческце Забачц Терцц Обочск,Москва(1957).
[7]	裘涛,幕壳静动力分析,浙江大学研究生论文(1981).
[8]	Bathe,K,J.,E,L,Wilson and F,E,Peterson,SAPIA Structural Analysis Program for Static and.Dynamic Response of Iinear System,Univ,of California,Berkelep(1976).