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Use of the reciprocity theorem for axially symmetric transient problems
Authors:N Kadioglu  S Ataoglu
Institution:(1) Division of Mechanics, Department of Civil Engineering. Faculty of Civil Engineering, Istanbul Technical University, Maslak, 34469 Istanbul, Turkey
Abstract:Summary A fundamental solution, to be used in reciprocal theorem for the solutions of axially symmetric transient problem of elastodynamics, is presented. A cylindrical cavity problem has been solved to check the formulation. The strong singularity of the resulting integral equation for this problem has been reduced to the weak form. The new formulation provides the initial velocity on the surface for a transient loading. Some differences have been introduced for the use of generalized functions.
Keywords:Reciprocity theorem  Axially symmetric  Elastodynamics  Transient load
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