Damped Response of an Elastically Connected Double-Beam System Due to a Cyclic Moving Load

Abstract

The damped response of an elastically connected double-beam system due to a moving-point load that oscillates longitudinally along one of the members about a fixed point is examined analytically. The deflection equations are determined for a damped double-beam system for two cases: (1) the beams have individual damping, and (2) damping is introduced as a function of the relative velocity of the two beams. The analysis shows the relative importance of the infinite number of load movement frequencies that will excite a given principal frequency of the system for the rth mode of vibration. Numerical results are presented for the two cases for both equal and unequal beams and show the effects of damping, frequency of oscillation of load movement, amplitude of load movement, and modulus of the elastic connectors on the dynamic deflections of the system. The results also show the ability of the system to act as an elastic vibration absorber.

Free Transverse Vibrations of Elastically Connected Simply Supported Double-Beam Complex System

“…The di!erent aspects of dynamics of an elastically connected double-beam system have been treated by many authors: Seelig and Hoppmann II [10,11], Kessel [12], Kessel and Raske [13], Saito and Chonan [14,15], Kozlov [16], Kashin [17], Rao [18], Lu and Douglas [19], Douglas and Yang [20], Douglas [21], Oniszczuk [22}31], Chonan [32,33], Hyer et al [34,35], Stepanov [36], Dmitriyev [37], Hamada et al [38,39], Yamaguchi and Saito [40], Joshi and Upadhya [41], Sylwan [42], Vaswani et al [43], Kokhmaniuk [44], Yankelevsky [45], Aida et al [46], Frostig and Baruch [47,48], Kukla and Skalmierski [49], Kukla [50,51], MaceH [52], Chen and Sheu [53,54], Chen and Lin [55], Lueschen and Bergman [56], Sakiyama et al [57,58], SzczesH niak [59,60], Kawazoe et al [61], and CabanH ska-P"aczkiewicz [62}67]. The works [2, 4, 5, 36, 38}40, 46, 55, 61] devoted to applying a double-beam system as a continuous dynamic vibra...…”

Transverse Vibrations of Elastically Connected Double-String Complex System, Part Ii: Forced Vibrations

“…This system has been investigated by many authors: Seelig and Hoppmann II [6,7], Kessel [8], Kessel and Raske [9], Saito and Chonan [10,11], Kozlov [12], Kashin [13], Rao [14], Oniszczuk [15}25], Chonan [26,27], Douglas and Yang [28], Stepanov [29], Dmitriyev [30], Hamada et al [31,32], Kokhmaniuk [33], Yankelevsky [34], Aida et al [35], Kukla and Skalmierski [36], Chen and Sheu [37,38], Chen et al [39], Lueschen and Bergman [40], SzczesH niak [41,42], Chen and Lin [43], and CabanH ska-P"aczkiewicz [44}46]. The present paper contains a more complete bibliography concerning the vibration problems of an elastically connected double-beam system.…”

Dynamics of Double-Beam System with Various Symmetric Boundary Conditions Traversed by a Moving Force: Analytical Analyses

“…Kessel [23] studied the resonances of a simply supported double-beam system with two general beams excited by a cyclic moving load. The connecting damping between two beams was ignored, which was then considered in Reference [24]. The analytical solutions for the forced vibrations of the same system were presented by Oniszczuk [25].…”