Wang Liedong, Liu Zhengning, Zhou Chengti. Influence of Initial Imperfection and Coupling Between Bending and Extension on Vibration, Buckling and Nonlinear Dynamic Stability of Laminated Plates[J]. Applied Mathematics and Mechanics, 1999, 20(5): 477-485.
Citation: Wang Liedong, Liu Zhengning, Zhou Chengti. Influence of Initial Imperfection and Coupling Between Bending and Extension on Vibration, Buckling and Nonlinear Dynamic Stability of Laminated Plates[J]. Applied Mathematics and Mechanics, 1999, 20(5): 477-485.

Influence of Initial Imperfection and Coupling Between Bending and Extension on Vibration, Buckling and Nonlinear Dynamic Stability of Laminated Plates

  • Received Date: 1997-06-09
  • Rev Recd Date: 1998-12-18
  • Publish Date: 1999-05-15
  • In this paper,the influence of initial imperfection and coupling between bending and extension on vibration,buckling and nonlinear dynamic stability of laminated plates is studied.The governing equation is derived.It is a nonlinear modified Mathieu Equation.Numerical solutions of 5 typical composite materials namely,Scotch-1002,Kevlar-49,B4/5505,T300/5208 and AS/3501 are computed. Results reveal that the existence of initial imperfection and coupling effect,make plates much more sensitive to entering parametric resonance with amplitude greater than that of perfect plates.Coupling effect for different laminates,especially,for that with few layers,is different.If coupling effect is neglected,design of plate structures for buckling and dynamic stability would be unconservative for more than 10%.
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  • [1]
    Birman V.Dynamic stability of thick rectangular plates[J].Mechanics Research Communication,1987,14(1):37~42.
    [2]
    Srinivasan R S,Chellapandi P.Dynamic stability of rectangular laminated composite plates[J].Computers and Structures,1986,24(2):233~238.
    [3]
    Bert C W,Birman V.Dynamic instability of shear deformable anti-symmetric angle-ply plates[J].International Journal of Solid Structures,1987,23(7):1053~1061.
    [4]
    Zhou Chengti,Wang Litung,Jia Hongyu.The influence of transverse shear and rotational inertia on the dynamic instability of laminated composite plates[A].In:The Seventh International Conference on Composite Materials,(ICCM-7)[C],Nov,22~24,1989,Guangzhou,China.Proceedings Vol.Oxford,New-York,Beijing,Tokyo,Frankfurt,Sydney,Toronto,Sao Paulo:Published by Pergamon Press Co.455~462.
    [5]
    Zhou Chengti,Buckling,vibration,and dynamic stability of ARALL plates[A].The Ninth International Conference on Composite Materials,(ICCM-9)[C],July,12~16,1993,Madrid,Spain.Proceedings Vol.VI,pp.455~462.Madrid-Spain:Published by University of Zaragoza,Woodhead Publishing Ltd.
    [6]
    Болотин В В.Динамическая Устойчиность Упругих Систем[M],Москва,СССР:Γосударственное издательство технико-теоретической литературы,1956.
    [7]
    Bolotin V V.The Dynamic Stability of Elastic Systems[M].National Pub Co of Technical-Theoretical Literature,USSR,1956.English edition transtated by Weingerten,etc,San Francisco:Holclen-Day Inc,1964.
    [8]
    Jones Robert M.Mechanics of Composite Materials[M].Washington U S A:Hemisphere Publishing Co,(now Taylor & Francis Co),1975.
    [9]
    Alexander Chajes,Principals of Structural Stability Theory[M].Massachusetts:Published in Massachusetts State University:Prentice-Hall Inc,U S A 1974.
    [10]
    Stephen W,Tsai,Hahn H,Thomas.Introduction to Mechanics of Composite Materials[M].Westport,California:Technomic Publishing Co,U S A,1980.
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