Abstract
In this paper, we discuss dynamic stability of a flow conveying pipe with a lumped mass by using boundary element method for a regional division type. We already showed the applicability of the numerical method for dynamic stability analysis of an elastic rod with damping terms. Our derivation of integral equations is based on an inverse formulation of a canonical form. The boundary integral equation is derived for each partial region. A coefficient matrix of a whole system obtained from the resulting discretized form possesses a band type sparse property. We apply this method to dynamic stability analysis of a flow conveying pipe with a lumped mass system. Moreover, our system includes damping terms in connection with internal and external damping effects. Our numerical results of the problem demonstrates a sufficient accuracy through a comparison with other results. Therefore, we are sure that our method give a powerful means for this tpe of problems.
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