A solution method for Euler-Bernoulli vibrating discontinuous beams

作者：Failla Giuseppe^*; Santini Adolfo

来源：Mechanics Research Communications, 2008, 35(8): 517-529.

DOI：10.1016/j.mechrescom.2008.04.002

• Euler-Bernoulli discontinuous beam
• eigenvalue problem
• static Green's functions

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.

• 出版日期2008-12