Abstract
The effects of third-order shear deformation theory (TSDT) displacements and advanced nonlinear varied shear correction coefficient on the free vibration frequency of thick functionally graded material (FGM) plates under environment temperature are studied. The nonlinear coefficient term of TSDT displacements is included to derive the advanced equation of nonlinear varied shear correction coefficient for the thick FGM plates. The determinant of the coefficient matrix in dynamic equilibrium differential equations under free vibration can be represented into fully homogeneous equation and the natural frequency can be found. The parametric effects of nonlinear coefficient term of TSDT, environment temperature and FGM power law index on the natural frequency of thick FGM plates are investigated.
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