The Finite Deflection Equations of Anisotropic Laminated Shallow Shells

Wang Zhen-ming; Liu Guo-xi; Lü Ming-shen

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(1): 49-65

Wang Zhen-ming, Liu Guo-xi, Lü Ming-shen. The Finite Deflection Equations of Anisotropic Laminated Shallow Shells[J]. Applied Mathematics and Mechanics, 1982, 3(1): 49-65.

Citation:

Wang Zhen-ming, Liu Guo-xi, Lü Ming-shen. The Finite Deflection Equations of Anisotropic Laminated Shallow Shells[J]. Applied Mathematics and Mechanics, 1982, 3(1): 49-65.

Citation:

Wang Zhen-ming, Liu Guo-xi, Lü Ming-shen. The Finite Deflection Equations of Anisotropic Laminated Shallow Shells[J]. Applied Mathematics and Mechanics, 1982, 3(1): 49-65.

PDF( 970 KB)

The Finite Deflection Equations of Anisotropic Laminated Shallow Shells

Institute of Mechanics, Academia Sinica, Beijing

Received Date: 1980-07-18
Publish Date: 1982-02-15

Abstract

Abstract

In this paper, basing on ref. [1] we improved and extended that which is concerned with a view of investigating the finite deflection equations of anisotro-pic laminated shallow shells subjected to static loads, dynamic loads and thermal loads. We have considered the most general bending-stretching couplings and the shear deformations in the thickness direction, and derived the equilibrium equations, boundary conditions and initial conditions. The differential equations expressed in terms of generalized displacements u₀ v₀ φ_x φ_y and w are obtained. From them, we could solve the problems of stress analysis,deformation,stability and vibration. For some commonly encountered cases, we derived the simplified equations and methods.

FullText(HTML)

References(12)

References

[1]	Vinson,J R.and Chou,T.W.,Composite materials and their use in structures,(1975).
[2]	Jones,R.M.,Mechanics of Composite Materials,(1975).
[3]	Bert,C.W.and Davis,M.Eagle,Dynamics of composite,sandwich and stiffened shell-type structures,J,of Spacecraft and Rockets,6,12,(1969),1341-1361.
[4]	Tennyson,R.C.,Buckling of laminated composite cylinders:A review,Composites,Jan.(1975),17-24.
[5]	Dietz,A.,Composite engineering laminates,MIT Press,Cambridge,Mass.,U.S.A.(1969).
[6]	Ashton.J.E.and Whitney.J.M.,Theory of laminated Plates,(1970).
[7]	Bert,C.W.and Francis,P,H.,Composite material mechanics:Structural mechanics,AIAA J.12,9,(1974),1173-1186.
[8]	Composite materials engineering,Chapter 10,(1971),(in Japanese).
[9]	Whitney,J.M.and Pagano,N.J.,Shear deformation in heterogeneous anisotropic plates,J.Applied Machanics,37,(1970),1O31-1036.
[10]	Whitney,J.M.,Stress analysis of thick laminated composite and sandwich plates,J,Compsite Materials,6,Oct.,(1972),425-44O.
[11]	Reissner,E.,A consistent treatment of transverse shear deformation in laminated anisotropic plates,AIAA J.,May,(1972),716-718.
[12]	Cohen,G.A.,Transverse shear stiffness of laminated anisotropic shell,Computer Methods in Applied Mechanics and Engineering,13,(1978),205-220.