Three-dimensional vibration of thick plate. (English) Zbl 0911.73043
Summary: By the method of initial functions and based on the equations of three-dimensional elastodynamics, we derive the governing differential equations of plates with arbitrary thickness. We obtain the dynamic response of stresses and displacements of thick plates subjected to transverse forces. It is shown that the vibration characteristics of thick plates consist of three modes: thickness shear mode, symmetric mode, and anti-symmetric mode. We obtain the characteristic equations of simply supported thick plates and compare free vibration frequencies given by the moderate thick plate theory and three-dimensional elasticity with frequencies given by the classical theory.
Keywords:
method of initial functions; plates with arbitrary thickness; transverse forces; thickness shear mode; symmetric mode; anti-symmetric mode; simply supported thick plates; free vibration frequenciesReferences:
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