The eigenvalue problem of Euler–Bernoulli discontinuous beams is addressed. Specifically, for stepped beams with internal translational and rotational springs, it is shown that a formulation of well-established lumped-mass methods employing exact influence coefficients is readily feasible, based on appropriate Green’s functions yielding the response of the discontinuous beam to a static unit force. The latter are not available in the literature; here they are derived, in a closed form, for arbitrary boundary conditions. Advantages of the proposed eigensolution are pointed out and future developments are also discussed
A solution method for Euler–Bernoulli vibrating discontinuous beams
Failla Giuseppe
;Santini Adolfo
2008-01-01
Abstract
The eigenvalue problem of Euler–Bernoulli discontinuous beams is addressed. Specifically, for stepped beams with internal translational and rotational springs, it is shown that a formulation of well-established lumped-mass methods employing exact influence coefficients is readily feasible, based on appropriate Green’s functions yielding the response of the discontinuous beam to a static unit force. The latter are not available in the literature; here they are derived, in a closed form, for arbitrary boundary conditions. Advantages of the proposed eigensolution are pointed out and future developments are also discussedFile in questo prodotto:
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