A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) using layerwise deformation theory for dynamic response of composite plates resting on viscoelastic foundation

A cell-based smoothed finite element method using three-node Mindlin plate element (CS-FEM-MIN3) based on the first-order shear deformation theory (FSDT) was recently proposed for static and dynamic analyses of Mindlin plates. In this paper, the CS-FEM-MIN3 is extended and incorporated with damping-spring systems for dynamic responses of sandwich and laminated composite plates resting on viscoelastic foundation subjected to a moving mass. The plate-foundation system is modeled as a discretization of three-node triangular plate elements supported by discrete springs and dashpots at the nodal points representing the viscoelastic foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of others available numerical results. A parametric examination is also conducted to determine the effects of various parameters on the dynamic response of the plates on the viscoelastic foundation subjected to a moving mass.

A cell-based smoothed finite element method using three-node shear-locking free Mindlin plate element (CS-FEM-MIN3) for dynamic response of laminated composite plates on viscoelastic foundation

Dynamic stiffness formulation for vibration analysis of thick composite plates resting on non-homogenous foundations

The vibration suppression analysis of a simply-supported laminated composite beam with magnetostrictive layers resting on visco-Pasternak’s foundation is presented. The constant gain distributed controller of the velocity feedback is utilized for the purpose of vibration damping. The formulation of displacement field is proposed according to Euler-Bernoulli’s classical beam theory (ECBT), Timoshenko’s first-order beam theory (TFBT), Reddy’s third-order shear deformation beam theory, and the simple sinusoidal shear deformation beam theory. Hamilton’s principle is utilized to give the equations of motion and then to describe the vibration of the current beam. Based on Navier’s approach, the solution of the dynamic system is obtained. The effects of the material properties, the modes, the thickness ratios, the lamination schemes, the magnitudes of the feedback coefficient, the position of magnetostrictive layers at the structure, and the foundation modules are extensively studied and discussed.

Vibration suppression of magnetostrictive laminated beams resting on viscoelastic foundation

A cell-based smoothed discrete shear gap method (CS-FEM -DSG3) using triangular elements was recently proposed to improve the performance of the discrete shear gap method (DSG3) for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM -DSG3 is incorporated with spring systems for dynamic analyses of composite plates on the Pasternak foundation subjected to a moving mass. The composite plate-foundation system is modeled as a d iscretizat ion of triangular plate elements supported by discrete springs at the nodal points representing the Pasternak foundation. The position of the moving mass with specified velocity on triangular elements at any time is defined, and then the moving mass is transformed into loads at nodes of elements. The accuracy and reliability of the proposed method is verified by comparing its numerical solutions with those of other available numerical results. A parametric examination is also conducted to determine the effects of various parameters on the dynamic response of the composite plates on the Pasternak foundation subjected to the moving mass.

Dynamic Responses of Composite Plates on the Pasternak Foundation Subjected to a Moving Mass by a Cell-based Smoothed Discrete Shear Gap (CS-FEM-DSG3) Method

P. Abbaspour

Papers

Vibration of non-ideal simply supported laminated plate on an elastic foundation subjected to in-plane stresses

Buckling of non-ideal simply supported laminated plate on Pasternak foundation