A mapping finite difference model for infinite elastic media |
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Authors: | B. Alabi |
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Affiliation: | Department of Mechanical Engineering, University of Ibadan, Ibadan, Nigeria |
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Abstract: | A simple mapping finite difference model is presented for the solution of boundary-value problems in the theory of time-harmonic elastic vibrations. The finite problem domain is condensed by mapping into a smaller finite domain using a suitable coordinate transformation. The field equations and the boundary conditions are also appropriately transformed. The radiation condition at infinity is satisfied through a change of the dependent variable. Finite difference forms of the transformed equations are then solved in the mapped domain, subject to the transformed boundary conditions. |
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Keywords: | mathematical model mapping finite difference model boundary value problems elastic vibrations |
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