Dynamic analysis of Euler-Bernoulli beams over elastic foundation by the Boundary Element Method

Resumo

Continuous beams are engineering structural elements that can be modeled using the Euler-Bernoulli

beam theory. This work is concerned with the development of a time-domain Boundary Element Method formu-
lation to solve the problem of continuous beams over elastic foundation. The formulation was developed with the

use of the static fundamental solution, generating a formulation of the type Domain-Boundary Element Method
(D-BEM). In all the examples included in this work, geometric and material properties of the beams are assumed
to be the same. Boundary Element numerical results for displacements, rotations, bending moments and shear
forces obtained for uniformly loaded beams, are compared graphically to the results obtained using the Finite

Element Method, since the problem of the vibration of a Euler-Bernoulli beam over elastic foundation has no ana-
lytical solution. The main purpose of this paper is to prove the viability of the Boundary Element Method for the

time-domain analysis of continuous Euler-Bernoulli beams over elastic foundation.