A GENERALIZE VARIATIONAL PRINCIPLE OF COMPOSITE SHALLOW SHELLS A ND ITS APPLICATION TO THE FOLDED SHELL

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (7): 677-685.

A GENERALIZE VARIATIONAL PRINCIPLE OF COMPOSITE SHALLOW SHELLS A ND ITS APPLICATION TO THE FOLDED SHELL

倪海鹰, 童竟昱

Zhejiang University, Hangzhou

收稿日期:1985-06-01 出版日期:1986-07-18 发布日期:1986-07-18

A GENERALIZE VARIATIONAL PRINCIPLE OF COMPOSITE SHALLOW SHELLS A ND ITS APPLICATION TO THE FOLDED SHELL

Ni Hai-ying, Tong Jing-yu

Zhejiang University, Hangzhou

Received:1985-06-01 Online:1986-07-18 Published:1986-07-18

摘要/Abstract

摘要： 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.

关键词: micropolar continuum, coupled, basic law, balance equation

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.

Key words: micropolar continuum, coupled, basic law, balance equation

倪海鹰;童竟昱. A GENERALIZE VARIATIONAL PRINCIPLE OF COMPOSITE SHALLOW SHELLS A ND ITS APPLICATION TO THE FOLDED SHELL[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(7): 677-685.

Ni Hai-ying;Tong Jing-yu. A GENERALIZE VARIATIONAL PRINCIPLE OF COMPOSITE SHALLOW SHELLS A ND ITS APPLICATION TO THE FOLDED SHELL[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(7): 677-685.

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A GENERALIZE VARIATIONAL PRINCIPLE OF COMPOSITE SHALLOW SHELLS A ND ITS APPLICATION TO THE FOLDED SHELL

A GENERALIZE VARIATIONAL PRINCIPLE OF COMPOSITE SHALLOW SHELLS A ND ITS APPLICATION TO THE FOLDED SHELL

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