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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Ruge, P. Mass identification from lambdamatrices in structural dynamics. Acta Mechanica 95, 157–166 (1992). https://doi.org/10.1007/BF01170810
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DOI: https://doi.org/10.1007/BF01170810