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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