Free vibration analysis of third-order shear deformable composite beams using dynamic stiffness method |
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Authors: | Li Jun Li Xiaobin Hua Hongxing |
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Institution: | 1.Vibration, Shock and Noise Institute,Shanghai Jiao Tong University,Shanghai,People’s Republic of China;2.School of Transportation, Wuhan University of Technology,Wuhan,People’s Republic of China |
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Abstract: | The dynamic stiffness method is introduced to investigate the free vibration of laminated composite beams based on a third-order
shear deformation theory which accounts for parabolic distribution of the transverse shear strain through the thickness of
the beam. The exact dynamic stiffness matrix is found directly from the analytical solutions of the basic governing differential
equations of motion. The Poisson effect, shear deformation, rotary inertia, in-plane deformation are considered in the analysis.
Application of the derived dynamic stiffness matrix to several particular laminated beams is discussed. The influences of
Poisson effect, material anisotropy, slenderness and end condition on the natural frequencies of the beams are investigated.
The numerical results are compared with the existing solutions in literature whenever possible to demonstrate and validate
the present method. |
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Keywords: | |
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