Theory of Nonlinear Dynamic Stability for Composite Laminated Plates

Zhou Cheng-ti

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(2): 101-108

Zhou Cheng-ti. Theory of Nonlinear Dynamic Stability for Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1991, 12(2): 101-108.

Citation:

Zhou Cheng-ti. Theory of Nonlinear Dynamic Stability for Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1991, 12(2): 101-108.

Citation:

Zhou Cheng-ti. Theory of Nonlinear Dynamic Stability for Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1991, 12(2): 101-108.

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Theory of Nonlinear Dynamic Stability for Composite Laminated Plates

Zhou Cheng-ti

Institute of Technology, Dalian University, Dalian

Received Date: 1990-02-24
Publish Date: 1991-02-15

Abstract

Abstract

In this paper, the general equations of dynamic stability for composite laminated plates are derived hyHamilton principle. These general equations can he used to consider those different factors that affect the dynamic stability of laminated plates. The factors are transverse shear deformation, initial imperfections, longitudinal and rotational inertia, and ply-angle of the fiber, etc. The solutions of the fundamental equations show that some important characteristics of the dynamic instability can only be got by the consideration and analysis of those factors.
- composite materials,
- laminated plates,
- dynamic stability

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References(17)

References

[1]	Hoff,N.J.,The dynamics of the buckling of elastic columns,ASME J.Appl.Mech.,18(1951),68-74.
[2]	Hoff,N.J.,Dynamic stability of structures,Dynamic Stability of Structures,Ed.G.Hermann,Pergamon Press,Oxford(1967),7-64.
[3]	Болотин В.В.,Дцнамцческая Усмойчивосмъ Упрушх Сцсмем,Государственное Издютелъстов Технико-Теоретической Литературы(1956).鲍洛金著,《弹性体系的动力稳定性》,林砚田译,高等教育出版社.
[4]	Vol'mir,A.S.,Nonlinear Dynamics of Plates and Shells,Nauka,Moscow(1967).
[5]	Vol'mir,A.S.,Stability of Deformable Systems,Nauka,Moscow(1967).
[6]	Ari-Gur,J.,T.Weller and J.Singer,Experimental and theoretical studies of columns under axial impact,Intern.J.Solids Structures,18(1982),619-641.
[7]	Babich,D.V.and L.P.Khoroshun,Dynamic loss of stability of an instantaneously compressed layered cylindrical shells,Soviet Appl.Mech.,16(1981),586-590.
[8]	Brigadirov,G.V.and L.A.Tolokonnikov,Impact of a cylindrical shell against a rigid barrier,Mech.Solids,18(1983),179-181.
[9]	Birman,V.,Dynamic stability of unsymmetrcally laminated rectangular plates,Mech.Research Communication,12(1985),81-86.
[10]	Bert,C.W.and V.Birman,Dynamic instability of shear deformable antisymmetric angle-ply plates,Intern.J.Solids Structures,23,7(1987),1053-1061.
[11]	Srinivasan,R.S.and P.Chellapandi,Dynamic stability of rectangular laminated composite plates,Computers and Structures,24,2(1986),233-238.
[12]	Birman,V.,Problems of dynamic buckling of antisymmetric rectangular laminates,Composite Structures,12(1989),1-15.
[13]	Mao Ren-jie,Dynamic stability of shear deformable orthotropic rectangular plates,Proceedings of ICCM-Ⅶ,3(1989).
[14]	Zhou Cheng-li,Wang Li-tung and Jia Hong-yu,The influence of transverse shear and rotational inertia on the dynamic instability of laminated composite plates,Proceedings of ICCM-Ⅶ,3(1989).
[15]	Zhou Cheng-ti and Wang Li-tung,An analysis of dynamic instability on laminated composite plates,4th Intern.Conf.of Composite Structures(ICCS-4),paisley Institute of Technology,Scotland,July 27-29(2987).
[16]	Jones,R.M.,Mechanics of Composite Materials,McGraw-Hill(1975).
[17]	周承调,《薄壳弹塑性稳定性理论》,国防工业出版社(1979).