## 留言板

 引用本文: 王震鸣, 刘国玺, 吕明身. 各向异性多层扁壳的大挠度方程[J]. 应用数学和力学, 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.

## The Finite Deflection Equations of Anisotropic Laminated Shallow Shells

• 摘要: 本文在文献[1]的基础上加以改进和推广,探讨各向异性多层扁壳在静载、动载和热载作用下的大挠度方程.考虑了最一般的弯曲拉伸间的耦合关系和沿厚度方向的剪切变形.给出了平衡方程、边界条件和初始条件.得到了以广义位移u0,v0xy和ω表示的微分方程组.由此可求解应力、变形、稳定和振动等问题.对于若干常见情况,给出了简化的方程和方法.
•  [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.

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##### 出版历程
• 收稿日期:  1980-07-18
• 刊出日期:  1982-02-15

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