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Based on the two-dimensional viscoelastic differential constitutive relation and the thin plate theory,the differential equations of motion of the viscoelastic plate with an all-over part-through crack are established and the expression of additional rotation induced by the crack is derived.The complex eigenvalua equations of the viscoelastic plate with crack are derived by the differential quadrature method,and theδmethod is used at the crack continuity conditions.Dimensionless complex frequencies of a crack viscoelastic plate with four edges simply supported,two opposite edges simply supported and other two edges clamped are calculated.The effects of the crack parameter,the aspect ratio and dimensionless delay time of the material on the transverse vibration of the viscoelastic plate are analyzed.
Based on the two-dimensional viscoelastic differential constitutive relation and the thin plate theory, the differential equations of motion of the viscoelastic plate with an all-over part-through crack are established and the expression of additional rotation induced by the crack is derived. complex eigenvalua equations of the viscoelastic plate with crack are derived by the differential quadrature method, and the deltamethod is used at the crack continuity conditions. Dimensionless complex frequencies of a crack viscoelastic plate with four edges simply supported, two opposite edges simply supported and other two edges clamped are calculated. the effects of the crack parameter, the aspect ratio and dimensionless delay time of the material on the transverse vibration of the viscoelastic plate are analyzed.