A study of nonlinear vibration of shear deformable FG-GRC plates resting on elastic foundation


Vu Hoai Nam, Dang Thuy Dong, Nguyen Thi Phuong, Ho Duc Tuan, Tran Duy Kien
Faculty of Civil engineering, University of Transport Technology, Hanoi, Vietnam
Email: [email protected]
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This paper investigates the nonlinear vibration of FG-GRC plates under external pressure resting on elastic foundation is presented. The governing equations are derived by using the first-order shear deformation theory (FSDT) taking into account von Karman geometrical nonlinearity and Pasternak elastic foundation. The motion equations are determined by Galerkin method and the obtained equation is numerically solved by using fourth-order Runge–Kutta method. Results of nonlinear vibration present the effects of foundation, material and geometric parameters on the nonlinear vibration of shells.

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A study of nonlinear vibration of shear deformable FG-GRC plates resting on elastic foundation Report description: This paper investigates the nonlinear vibration of FG-GRC plates under external pressure resting on elastic foundation is presented. The governing equations are derived by using the first-order shear deformation theory (FSDT) taking into account von Karman geometrical nonlinearity and Pasternak elastic foundation. The motion equations are determined by Galerkin method and the obtained equation is numerically solved by using fourth-order Runge–Kutta method. Results of nonlinear vibration present the effects of foundation, material and geometric parameters on the nonlinear vibration of shells.


A study of nonlinear vibration of shear deformable FG-GRC plates resting on elastic foundation


This paper investigates the nonlinear vibration of FG-GRC plates under external pressure resting on elastic foundation is presented. The governing equations are derived by using the first-order shear deformation theory (FSDT) taking into account von Karman geometrical nonlinearity and Pasternak elastic foundation. The motion equations are determined by Galerkin method and the obtained equation is numerically solved by using fourth-order Runge–Kutta method. Results of nonlinear vibration present the effects of foundation, material and geometric parameters on the nonlinear vibration of shells.
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