Article ID Journal Published Year Pages File Type
801282 Mechanics Research Communications 2008 13 Pages PDF
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 discussed.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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