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A cell-based smoothed discrete shear gap method (CS-DSG3) based on the higher-order shear deformation theory for dynamic responses of Mindlin plates on the viscoelastic foundation subjected to a moving sprung vehicle

Authors: 

P. Phung-Van, H. Luong-Van, T. Nguyen-Thoi, H. Nguyen-Xuan

Source title: 
International Journal for Numerical Methods in Engineering, 98(13): 988-1014, 2014 (ISI)
Academic year of acceptance: 
2014-2015
Abstract: 

A cell‐based smoothed discrete shear gap method (CS‐FEM‐DSG3) 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‐DSG3 is extended to the C0‐type higher‐order shear deformation plate theory (C0‐HSDT) and is incorporated with damping–spring systems for dynamic responses of Mindlin plates on viscoelastic foundations subjected to a moving sprung vehicle. At each time step of dynamic analysis, one four‐step procedure is performed including the following: (1) transformation of the weight of a four‐wheel vehicle into the sprung masses at wheels; (2) dynamic analysis of the sprung mass of wheels to determine the contact forces; (3) transformation of the contact forces into loads at nodes of plate elements; and (4) dynamic analysis of the plate elements on viscoelastic foundations. The accuracy and reliability of the proposed method are verified by comparing its numerical solutions with those of other available numerical results.