Mass identification from lambdamatrices in structural dynamics |
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Authors: | Prof Dr-Ing P Ruge |
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Affiliation: | (1) Present address: Institut für Angewandte Mechanik, Technische Universität Braunschweig, Postfach 3329, D-W-3300 Braunschweig, Federal Republic of Germany |
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Abstract: | Summary The discretization of vibration problems in structural dynamics by means of fundamental solutions results in a nonlinear representation by so-called lambdamatrices.Here the dynamic stiffness matrix with transcendental elements is replaced by a linear eigenvalue formulation with static stiffness and a mass matrix. The mass results from interpolating the lambdamatrix either in a Taylor-like or in a Lagrange-like manner.For the present the essential steps of this procedure are demonstrated for vibrations of beams. |
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