Shear Effects on Large Amplitude Forced Vibration of Symmetrically Laminated Rectilinearly Orthotropic Circular Plates

Xu Jiachu; Liu Renhuai

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(2): 105-112

Xu Jiachu, Liu Renhuai. Shear Effects on Large Amplitude Forced Vibration of Symmetrically Laminated Rectilinearly Orthotropic Circular Plates[J]. Applied Mathematics and Mechanics, 1998, 19(2): 105-112.

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Shear Effects on Large Amplitude Forced Vibration of Symmetrically Laminated Rectilinearly Orthotropic Circular Plates

Xu Jiachu¹,
Liu Renhuai²

1.
Department of Aircraft Engineering, Nanjing University of Aeronauties and Astronautics, Nanjing 210016, P. R. China;
2.
Institute of Mathematics and Mechanics Jinan University, Guangzhou 510632, P. R. China

Received Date: 1996-03-06
Publish Date: 1998-02-15

Abstract

Abstract

In this paper,nonlinear forced vibration of symmetrically laminated rectilined rectilinearly orthotropic circular plates excited by a harmonic force q₀cosωt including effects of transverse shear deformation is discussed.The ahalytical solution for the relationship between forcing frequency and amplitude of vibration is obtained by Galerkin's method.Finally,the paper analyses the effect of the transverse shear on the vibration of the plate and gives the ratio of nonlinear period to linear period to linear period for nonlinear free vibration of the plate.
- large amplitude forced vibration rectilinear orthotropy,
- laminaied circular plate,
- transverse shear,

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References(18)

References

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