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1.
Approximate solutions of axially moving viscoelastic beams subject to multi-frequency excitations are presented. A non-linear partial-differential equation governing the transverse vibration of the beams is derived from Newton's second law, the Kelvin constitutive relationship, and the Lagrangian strain. Based on 1-term Galerkin's truncation, the governing equation is reduced to an ordinary differential equation. Three cases, including superharmonic resonance case, subharmonic resonance, and combination resonance are studied. The approximate solutions of the transverse vibration of the beams are obtained. Numerical results show that the approximate solutions are in good agreement with numerical results. 相似文献
2.
Nguyen Van Khang Nguyen Phong Dien Nguyen Thi Van Huong 《Archive of Applied Mechanics (Ingenieur Archiv)》2009,79(10):939-953
The main objective of the paper is to investigate the dynamic response of the prestressed beams on rigid supports to moving
concentrated loads. The governing equation of the transverse vibration of a prestressed continuous beam under the ununiformly
distributed load is analytically formulated, taking into account the effect of the prestressing. The forced transverse vibration
of the beam under the action of a large number of moving bodies has been investigated by using the method of substructures.
In addition, the reaction forces at every rigid supports can be determined from the obtained differential equations. A comparison
between the numerical results for the prestressed and the non-prestressed beam is presented to show the influence of the prestressing
and the moving velocity of the bodies on the dynamic response of the beam. The calculating results are also examined and validated
by experimental measurements at a large ferroconcrete bridge in Vietnam. 相似文献