Dynamical behaviors of nonlinear viscoelastic thick plates with damage |
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| Authors: | Dong-Fa Sheng Chang-Jun Cheng |
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| Institution: | a Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, People's Republic of China;b Institute of Civil Engineering, Academy of Engineering Mechanics, Nanchang University, Nanchang 330029, People's Republic of China |
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| Abstract: | Based on the deformation hypothesis of Timoshenko's plates and the Boltzmann's superposition principles for linear viscoelastic materials, the nonlinear equations governing the dynamical behavior of Timoshenko's viscoelastic thick plates with damage are presented. The Galerkin method is applied to simplify the set of equations. The numerical methods in nonlinear dynamics are used to solve the simplified systems. It could be seen that there are plenty of dynamical properties for dynamical systems formed by this kind of viscoelastic thick plate with damage under a transverse harmonic load. The influences of load, geometry and material parameters on the dynamical behavior of the nonlinear system are investigated in detail. At the same time, the effect of damage on the dynamical behavior of plate is also discussed. |
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| Keywords: | Viscoelastic solid with damage Thick plate Geometrical non-linearity Stability Chaos Bifurcation Parameter study |
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