Time-harmonic response of transversely isotropic multilayered half-space in a cylindrical coordinate system |
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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. School of Water Conservancy and Environmental Engineering, Zhengzhou University, Zhengzhou, Henan, China;2. Department of Civil Engineering, University of Akron, Akron, OH, USA;1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, PR China;2. College of Civil Engineering and Architecture, Wenzhou University, Wenzhou 325035, PR China;3. Institute of Disaster Prevention Engineering, Zhejiang University, Hangzhou 310058, PR China |
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| Abstract: | With the aid of the analytical layer-element method, a comprehensive analytical derivation of the response of transversely isotropic multilayered half-space subjected to time-harmonic excitations is presented in a cylindrical coordinate system. Starting with the governing equations of motion and the constitutive equations of transversely isotropic elastic body, and based on the Fourier expansion, Hankel and Laplace integral transform, analytical layer-elements for a finite layer and a half-space are derived. Considering the continuity conditions on adjacent layers׳ interfaces and the boundary conditions, the global stiffness matrix equations for multilayered half-space are assembled and solved. Finally, some numerical examples are given to make a comparison with the existing solution and to demonstrate the influence of parameters on the dynamic response of the medium. |
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| Keywords: | Time-harmonic response Transversely isotropy Multilayered half-space Analytical layer-element method |
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