On Resonance of an Infinite Beam on Uniform Elastic Foundation

Abstract

The transverse steady‐state oscillations of an infinite beam, resting on uniform elastic foundation and subjected to a steadily moving harmonic force, are considered. An explicit expression for the exciting force speed dependence on the force frequency, corresponding to the beam infinite response, is obtained.

Identification of solitary-wave solutions as an inverse problem: Application to shapes with oscillatory tails

“…In terms of dimensionless variables, the governing equation of the transverse deflections of an elastic rod on elastic foundation equation reads (see, e.g., [13])…”

“…(iii) With the newly computed w, the coefficient χ is evaluated from Eq. (13) and then the algorithm returns to (i). (iv) When max |χ − χ n | < ε max |χ|,…”

“…The dynamical problem is discussed in [13]. The problem of buckling of an infinite rod subjected to restoring transversal force (e.g., elastic foundation) is much less studied.…”

Vibration suspension of Euler‐Bernoulli‐von Kármán beam subjected to oppositely moving loads by optimizing the placements of visco‐elastic dampers

“…[4,5] In order to compensate the influence of the moving load on the beam, different types of dampers and vibration absorbers are usually involved. Tremendous body of literature is devoted to the analysis of beams under moving loads supported by various kinds of dampers: elastic, [6] viscous, [7] visco-elastic. [8] Linear beam theories of Euler-Bernoulli [9] and Timoshenko [10] are mainly covered.…”