A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space |
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| Institution: | 1. Tianjin Key Laboratory of civil structure protection and reinforcing, Tianjin Chengjian University, Tianjin, 300384, China;2. Department of Civil Engineering, Tianjin University, Tianjin, 300072, China;3. Centre for Built Infrastructure Research, School of Civil and Environmental Engineering, University of Technology Sydney, NSW, 2007, Australia;4. The Research & Development Center of the Civil Engineering Technology, Dalian University, Dalian, 116622, China |
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| Abstract: | The precise integration method (PIM) is proposed for the dynamic response analysis of rigid strip footing resting on arbitrary anisotropic multi-layered half-space. In the frequency domain, the governing equation of wave motion is converted into dual vector form of first-order ordinary differential equations which is solved by PIM. Each layer is divided into a large number (say, 2N) of mini-layers of equal thickness, within which characteristic matrices are assumed to vary following the Taylor series expansion to the fourth order. As a result, any desired accuracy of the displacements and stresses can be achieved by PIM. In addition, dual vector form equation makes it quite easily to combine two adjacent mini-layers into a new one. Each pass of combination reduces the total number of mini-layers by a half. The computational effort for the evaluation of the dynamic impedance of rigid strip footing can be reduced to a great extent. Numerical examples are provided to validate the efficiency and accuracy of the proposed approach. |
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