Vibration of damped uniform beams with general end conditions under moving loads
2016 (English)In: Engineering structures, ISSN 0141-0296, E-ISSN 1873-7323, Vol. 126, 40-52 p.Article in journal (Refereed) Published
In this paper, an analytical solution for evaluating the dynamic behaviour of a non-proportionally damped Bernoulli–Euler beam under a moving load is derived. The novelty of this paper, when compared with other publications along this line of work is that general boundary conditions are assumed throughout the derivation. Proper orthogonality conditions are then derived and a closed form solution for the dynamical response for a given eigenmode is developed. Based on this, the dynamical response of the system to any load can be determined by mode superposition. The proposed method is particularly useful for studying various types of damping mechanisms in bridges, such as soil–structure interaction, external dampers, and material damping. Several numerical examples are presented to validate the proposed method and provide insight into the problem of non-proportionally damped systems. The numerical examples also allow for some interesting observations concerning the behaviour of modal damping for closely spaced modes (with respect to undamped natural frequencies).
Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 126, 40-52 p.
Bernoulli–Euler beam, Complex mode, Moving load, Non-proportional damping, Damping, Closed form solutions, Complex modes, Euler beam, General boundary conditions, Mode superposition, Nonproportional damping, Orthogonality conditions, Numerical methods, analytical method, dynamic response, soil-structure interaction, vibration
IdentifiersURN: urn:nbn:se:kth:diva-195219DOI: 10.1016/j.engstruct.2016.07.037ISI: 000384861500004ScopusID: 2-s2.0-84982706028OAI: oai:DiVA.org:kth-195219DiVA: diva2:1047418
FunderSwedish Transport Administration
QC 201611172016-11-172016-11-022016-11-17Bibliographically approved