部分積分法による動的境界要素解析の精度向上

概要

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A new boundary element method for dynamic viscoelastic problems is suggested to improve the accuracy of numerical results at the vicinity of boundaries. The singular terms in the fundamental solutions are associated with static solutions and are separated from the dynamic solutions. The strong singularities in the fundamental solutions are weakened by the partial integration of the integral equations for internal points. The yielded equations are numerically solved using displacements and tangential differences of displacements on the boundaries in the Laplace transformed domain. The validity of this method is confirmed by the traditional analysis. The numerical results are found to exhibit good accuracy of the stresses at the vicinity of the boundaries. It is shown that the numerical accuracies with this method are improved, compared with the results with the standard method requesting more numbers of boundary elements.
一般社団法人日本機械学会の論文
1991-04-25