A DONNELL TYPE THEORY FOR FINITE DEFLECTION OF STIFFENED THIN CONICAL SHELLS COMPOSED OF COMPOSITE MATERIALS

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (9): 857-868.

A DONNELL TYPE THEORY FOR FINITE DEFLECTION OF STIFFENED THIN CONICAL SHELLS COMPOSED OF COMPOSITE MATERIALS

王虎, 王俊奎

Beijing University of Aeronautics and Astronautics, Beijing

收稿日期:1989-04-21 出版日期:1990-09-18 发布日期:1990-09-18

A DONNELL TYPE THEORY FOR FINITE DEFLECTION OF STIFFENED THIN CONICAL SHELLS COMPOSED OF COMPOSITE MATERIALS

Wang Hu, Wang Tsun-kuei

Beijing University of Aeronautics and Astronautics, Beijing

Received:1989-04-21 Online:1990-09-18 Published:1990-09-18

摘要/Abstract

摘要： A Donnell type theory is developed for finite deflection of closely stiffened truncated laminated composite conical shells under arbitrary loads by using the variational calculus and smeared-stiffener theory. The most general bending-stretching coupling and the effect of eccentricity of stiffeners are considered. The equilibrium equations, boundary conditions and the equation of compatibility are derived. The new equations of the mixed-type of stiffened laminated composite conical shells are obtained in terms of the transverse deflection and stress function. The simplified equations are also given for some commonly encountered cases.

关键词: Composite materials, circular conical shells, stiffened shells, thin shells, finite deflection, mixed-type theory

Abstract: A Donnell type theory is developed for finite deflection of closely stiffened truncated laminated composite conical shells under arbitrary loads by using the variational calculus and smeared-stiffener theory. The most general bending-stretching coupling and the effect of eccentricity of stiffeners are considered. The equilibrium equations, boundary conditions and the equation of compatibility are derived. The new equations of the mixed-type of stiffened laminated composite conical shells are obtained in terms of the transverse deflection and stress function. The simplified equations are also given for some commonly encountered cases.

Key words: Composite materials, circular conical shells, stiffened shells, thin shells, finite deflection, mixed-type theory

王虎;王俊奎. A DONNELL TYPE THEORY FOR FINITE DEFLECTION OF STIFFENED THIN CONICAL SHELLS COMPOSED OF COMPOSITE MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 857-868.

Wang Hu;Wang Tsun-kuei. A DONNELL TYPE THEORY FOR FINITE DEFLECTION OF STIFFENED THIN CONICAL SHELLS COMPOSED OF COMPOSITE MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 857-868.

参考文献

[1] Pflüger,A.,Stabilit?t dünner Kegelschalen,Ing.Archiv.,8,3(1937),151-172.
[2] Seide,P.,A survey of buckling theory and experiment for circular conical shells of constant thickness,NASA TN D-1510,401-426.
[3] Fung,Y.C.and E.E.Sechler,Instability of thin elastic shells,Structural Mechanics(1960),115-168.
[4] Amiro,I.Ya and V.A.Zarutskü,Stability of ribbed shells,Soviet Applied Mechanics,May(1984),925-940.
[5] Tong Li-yong and Wang Tsun-kuei,Axisymmetric buckling of laminated composites conical shells under axial compression,Proceedings of International Conference on Composite Materials and Structures,Madras,India,Jan.6-9(1988).
[6] He Yi-bo and Wang Tsun-kuei,Initial results on instability of composites conical shells under external pressure,Proceedings of the 5th Nationnl Conference on Composite Materials,Vol.3,Xi’an(1988),940-947.(in Chinese).
[7] Wang Hu and Wang Tsun-kuei,Snap-buckling of thin shallow conical shells,Proceedings of International Conference on Applied Mechanics,Beijing,China(1989).
[8] Hoff,N.J.,The circular conical shells under arbitrary loads,Journal of Applied Mechanics,77(Dec.1955),557-562.
[9] Seide,P.,A Donnell-type theory for asymmetrical bending and buckling of thin conical shells,Journal of Applied Mechanics,24,4(Dec.1957),547-552.
[10] Singer,J.,Donnell-type equations for bending and buckling of orthotropic conical shells,Journal of Applied Mechanics,30,2(June 1963),303-305.
[11] Zhao Jin-da,Elastic stability of conical shells,Acta Aeronautica et Astronautica Sinica,5,1(March 1984),37-45.(in Chinese).
[12] Sun Bo-hua,A displacement-type theory and its applications for two kinds sandwich conical shells,Chinese Journal of Applied Mechanics.5,1(March 1987),79-89.(in Chinese).
[13] Jones,R.M.,Mechanics of Composite Materials,Scripta Book Company(1975).
[14] Jiang Yong-qiu,Optimum design of laminated cylindrical shells with fiber reinforced composites,Acta Materiae Compositae Sinica,2,3(Sept.1985),13-22.(in Chinese).

A DONNELL TYPE THEORY FOR FINITE DEFLECTION OF STIFFENED THIN CONICAL SHELLS COMPOSED OF COMPOSITE MATERIALS

A DONNELL TYPE THEORY FOR FINITE DEFLECTION OF STIFFENED THIN CONICAL SHELLS COMPOSED OF COMPOSITE MATERIALS

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