Vertical and horizontal vibrations of a rigid disc on a multilayered transversely isotropic half-space |
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| Institution: | 1. School of Civil Engineering, College of Engineering, University of Tehran, P.O.Box 11165-4563, Tehran, Iran;2. Department of Civil Engineering, Mazandaran University of Science and Technology, Babol, Iran;1. Institute of Applied Mechanics (CE), University of Stuttgart, Pfaffenwaldring 7, 70569 Stuttgart, Germany;2. Institute of General Mechanics, RWTH Aachen University, 52056 Aachen, Germany;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. Department of Civil Engineering, University of Patras, 26500 Patras, Greece;2. State Key Laboratory of Disaster Reduction in Civil Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, PR China;1. College of Physics Science and Technology, Yangzhou University, Yangzhou, 225002, People’s Republic of China;2. National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing, 210093, People’s Republic of China;3. Guangling College of Yangzhou University, Yangzhou, 225002, People’s Republic of China;1. School of Transportation & Logistics, Dalian University of Technology, China;2. Dept. of Civil Engineering and Dept. of Mathematics, University of Akron, USA |
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| Abstract: | A half-space containing horizontally multilayered regions of different transversely isotropic elastic materials as well as a homogeneous half-space as the lowest layer is considered such that the axes of material symmetries of different layers and the lowest half-space to be as depth-wise. A rigid circular disc rested on the free surface of the whole half-space is considered to be under a forced either vertical or horizontal vibration of constant amplitudes. Because of the involved integral transforms, the mixed boundary value problems due to mixed condition at the surface of the half-space are changed to some dual integral equations, which are reduced to Fredholm integral equations of second kind. With the help of contour integration, the governing Fredholm integral equations are numerically solved. Some numerical evaluations are given for different combinations of transversely isotropic layers to show the effect of degree of anisotropy of different layers on the response of the inhomogeneous half-space. |
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| Keywords: | Transversely isotropic Multilayered half-space Rigid disc Dual integral equations Impedance functions Soil-structure-interaction |
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