Analytical layer-element solution to axisymmetric dynamic response of transversely isotropic multilayered half-space |
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| Institution: | 1. School of Materials Science and Engineering, Southeast University, Nanjing 211189, Jiangsu, China;2. Jiangsu Key Laboratory of Construction Materials, Nanjing 211189, Jiangsu, China;3. College of Mechanics and Materials, Hohai University, Nanjing 210098, Jiangsu, China;4. Research Institute of Jiangsu Shasteel Iron and Steel, Zhangjiagang 215625, Jiangsu, China;1. School of Materials Science and Engineering, Southeast University, Nanjing, 211189, Jiangsu, China;2. Research and Development Center on Technologies and Equipment of Long-span Bridge Construction Ministry of Transport, Jiangxi Transportation Institute, Nanchang, 330200, Jiangxi, China;3. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, 330013, Jiangxi, China;4. College of Mechanics and Materials, Hohai University, Nanjing, 210098, Jiangsu, China;5. Research Institute of Jiangsu Shasteel Iron and Steel, Zhangjiagang, 215625, Jiangsu, China |
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| Abstract: | Starting with the governing equations of motion and the constitutive equations of transversely isotropic elastic body, and based on the corresponding algebraic operations and the Hankel transform, the analytical layer-elements of a finite layer and a half-space are obtained in the transformed domain. According to the continuity conditions between adjacent layers, the global stiffness matrix equation is obtained by assembling the analytical layer-element of each single layer. The solutions in the transformed domain are acquired by introducing the boundary conditions into the global stiffness matrix equation, and thus, the corresponding solutions in frequency domain are achieved by taking the inversion of Hankel transform. Finally, some numerical examples are given to illustrate the accuracy of the proposed method, and to study the influence of properties and the frequency of excitation on the dynamic response of the medium. |
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| Keywords: | Analytical layer-element solution Axisymmetric dynamic response Transversely isotropy Multilayered half-space |
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