Dynamic analysis of a rigid circular foundation on a transversely isotropic half-space under a buried inclined time-harmonic load |
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| Institution: | 1. Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus, Kish Island, P.O. Box 79417-76655, Kish, Iran;2. Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, P.O. Box 11365-9313, Tehran, Iran;1. Department of Mathematics and Statistics, University of Saskatchewan, Canada;2. LEMTA - ENSEM, Université de Lorraine, Nancy, France;1. School of Civil Engineering, Dalian University of Technology, Dalian 116024, China;2. School of Civil Engineering, Shenyang Jianzhu University, Shenyang 110168, China;1. Department of Oral Cell Biology and Functional Anatomy, Academic Centre for Dentistry Amsterdam (ACTA), University of Amsterdam and Vrije Universiteit Amsterdam, Amsterdam Movement Sciences, Amsterdam, the Netherlands;2. Biomechanics section, Department of Mechanical Engineering, KU Leuven, Leuven, Belgium;3. Department of Oral Kinesiology, Academic Centre for Dentistry Amsterdam (ACTA), University of Amsterdam and Vrije Universiteit Amsterdam, Amsterdam, the Netherlands;4. TNO Metabolic Health Research, Leiden, the Netherlands |
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| Abstract: | The dynamic analysis of a surface rigid foundation in smooth contact with a transversely isotropic half-space under a buried inclined time-harmonic load is addressed. By virtue of the superposition technique, appropriate Green׳s functions, and employing further mathematical techniques, solution of the mixed-boundary-value problem is expressed in terms of two well-known Fredholm integral equations. Two limiting cases of the problem corresponding to the static loading and isotropic medium are considered and the available results in the literature are fully recovered. For the static case, the results pertinent to both frictionless and bonded contacts are obtained and compared. With the aid of the residue theorem and asymptotic decomposition method, an effective and robust approach is proposed for the numerical evaluation of the obtained semi-infinite integrals. For a wide range of the excitation frequency, both normal and rotational compliances are depicted in dimensionless plots for different transversely isotropic materials. Based on the obtained results, the effects of anisotropy are highlighted and discussed. |
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| Keywords: | Transverse isotropy Fredholm integral equation Rigid disk Soil–structure interaction Dynamic compliance Time-harmonic excitation |
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