Semi-analytical approach to the nonlinear vibration of shear deformable FG-GPLRC shallow spherical shells resting on visco-elastic foundation


Vu Hoai Nam, Nguyen Thi Phuong, Vu Minh Duc, Nguyen Duc Thinh and Nguyen Van Loi
Faculty of Civil engineering, University of Transport Technology, Hanoi, Vietnam
Email: [email protected]
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A semi-analytical approach to investigate the nonlinear vibration axisymmetric analysis of FG-GPLRC shallow spherical shells under external pressure resting on visco-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 visco-elastic foundation. The motion equations are determined by Galerkin method and the obtained equation is numerically solved by using Runge–Kutta method. Results of nonlinear dynamic responses show the effects of foundation, material, geometric parameters on the nonlinear vibration of shells.

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Đánh giá:
Semi-analytical approach to the nonlinear vibration of shear deformable FG-GPLRC shallow spherical shells resting on visco-elastic foundation Report description: A semi-analytical approach to investigate the nonlinear vibration axisymmetric analysis of FG-GPLRC shallow spherical shells under external pressure resting on visco-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 visco-elastic foundation. The motion equations are determined by Galerkin method and the obtained equation is numerically solved by using Runge–Kutta method. Results of nonlinear dynamic responses show the effects of foundation, material, geometric parameters on the nonlinear vibration of shells.


Semi-analytical approach to the nonlinear vibration of shear deformable FG-GPLRC shallow spherical shells resting on visco-elastic foundation


A semi-analytical approach to investigate the nonlinear vibration axisymmetric analysis of FG-GPLRC shallow spherical shells under external pressure resting on visco-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 visco-elastic foundation. The motion equations are determined by Galerkin method and the obtained equation is numerically solved by using Runge–Kutta method. Results of nonlinear dynamic responses show the effects of foundation, material, geometric parameters on the nonlinear vibration of shells.
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