Dynamic analysis of a transversely isotropic multilayered half-plane subjected to a moving load |
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| Affiliation: | 1. Department of Computer Science and Technology, Shanghai Normal University, Shanghai 200234, China;2. Department of Mechanics, Shanghai University, Shanghai 200244, China;1. Department of Civil Engineering, Tianjin University, Tianjin 300072, China;2. Key Laboratory of Coast Civil Structure Safety (Tianjin University), Tianjin 300072, China;1. School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Najing Hydraulic Research Institute, Nanjing 210098, China |
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| Abstract: | In this paper, the analytical layer-element method is utilized to analyze the plane strain dynamic response of a transversely isotropic multilayered half-plane due to a moving load. We assume that the studied system moves synchronously with the moving load, then the moving load relative to the moving system is considered to be motionless. Therefore, the vertical stress and the vertical displacement under the moving load need not update for the variation of the load position. Based on the governing equations of motion in the moving system, the analytical layer-element solutions for a finite layer and a half-plane in the Fourier transform domain are derived by using the algebraic operations in Ref. [7]. The global matrix of the problem can be obtained by assembling the analytical layer-elements of all layers. The corresponding solution in the frequency domain is further recovered by the inverse Fourier transform. Several examples are given to confirm the accuracy of the proposed method and to illustrate the influence of material properties. |
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| Keywords: | Analytical layer-element Moving load Transversely isotropy Multilayered half-plane |
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