A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (4): 383-392.

A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS

王虎, 王俊奎

Peking University of Aeronautics and Astronautics, Beijing

收稿日期:1989-12-16 出版日期:1991-04-18 发布日期:1991-04-18
基金资助:
The Project supported by the Doctoral Research Foundation of the State Education Commission of China

A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS

Wang Hu, Wang Tsun-kuei

Peking University of Aeronautics and Astronautics, Beijing

Received:1989-12-16 Online:1991-04-18 Published:1991-04-18
Supported by:
The Project supported by the Doctoral Research Foundation of the State Education Commission of China

摘要/Abstract

摘要： In this paper, based on the theory of Donnell-type shallow shell, a new displacement-type stability equations is first developed for laminated composite circular conical shells with triangular grid stiffeners by using the variational calculus and generalized smeared-stiffener theory.The most general bending stretching couplings, the effect of eccentricity of stiffeners are considered.Then, for general stability of composite triangular grid stiffened conical shells without twist coupling terms, the approximate formulas are obtained for critical external pressure by using Galerkin's procedure.Numerical examples for a certain C/E composite conical shells with inside triangular grid stiffeners are calculated and the results are in good agreement with the experimental data.Finally, the influence of some parameters on critical external pressure is studied.The stability equations developed and the formulas for critical external pressure obtained in this paper should be very useful in the astronautical engineering design.

关键词: general stability, composite materials, circular conical shells, triangular grid stiffeners, Galerkin’s procedure

Abstract: In this paper, based on the theory of Donnell-type shallow shell, a new displacement-type stability equations is first developed for laminated composite circular conical shells with triangular grid stiffeners by using the variational calculus and generalized smeared-stiffener theory.The most general bending stretching couplings, the effect of eccentricity of stiffeners are considered.Then, for general stability of composite triangular grid stiffened conical shells without twist coupling terms, the approximate formulas are obtained for critical external pressure by using Galerkin's procedure.Numerical examples for a certain C/E composite conical shells with inside triangular grid stiffeners are calculated and the results are in good agreement with the experimental data.Finally, the influence of some parameters on critical external pressure is studied.The stability equations developed and the formulas for critical external pressure obtained in this paper should be very useful in the astronautical engineering design.

Key words: general stability, composite materials, circular conical shells, triangular grid stiffeners, Galerkin’s procedure

王虎;王俊奎. A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(4): 383-392.

Wang Hu;Wang Tsun-kuei. A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(4): 383-392.

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A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS

A NEW DISPLACEMENT-TYPE STABILITY EQUATION AND GENERAL STABILITY ANALYSIS OF LAMINATED COMPOSITE CIRCULAR CONICAL SHELLS WITH TRIANGULAR GRID STIFFENERS

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