TY - JOUR

T1 - Dynamic response of a non-classically damped beam with general boundary conditions subjected to a moving mass-spring-damper system

AU - Hirzinger, Benjamin

AU - Adam, Christoph

AU - Salcher, Patrick

N1 - Funding Information: The computational results presented have been achieved (in part) using the HPC infrastructure LEO of the University of Innsbruck.

PY - 2020/11

Y1 - 2020/11

N2 - In this paper a semi-analytical approach to efficiently determine the dynamic response of an Euler-Bernoulli beam with general boundary conditions crossed by a mass-spring-damper (MSD) system is presented. Based on a dynamic substructuring technique (DST), the non-classically damped beam subsystem in modal state space representation is coupled with the interacting degrees of freedom of the MSD system by applying a generalized corresponding assumption. This assumption implies equal displacements of the beam and the MSD system at the contact points. The resulting set of coupled equations of motion in state space has time-dependent system matrices. Special attention is paid to the appropriate formulation of the arrival and departure conditions of the MSD system on the beam. In an application example, the dynamic response of a viscoelastically supported beam with a lumped mass at both ends crossed by a MSD system is analyzed, examining the effect of the speed and various parameters of the viscoelastic supports. The comparison of the results of the coupled beam-MSD system and a less expensive approach, in which the MSD system is simplified by its static axle loads, shows the importance of explicitly considering the interaction between beam and MSD system for accurate response prediction.

AB - In this paper a semi-analytical approach to efficiently determine the dynamic response of an Euler-Bernoulli beam with general boundary conditions crossed by a mass-spring-damper (MSD) system is presented. Based on a dynamic substructuring technique (DST), the non-classically damped beam subsystem in modal state space representation is coupled with the interacting degrees of freedom of the MSD system by applying a generalized corresponding assumption. This assumption implies equal displacements of the beam and the MSD system at the contact points. The resulting set of coupled equations of motion in state space has time-dependent system matrices. Special attention is paid to the appropriate formulation of the arrival and departure conditions of the MSD system on the beam. In an application example, the dynamic response of a viscoelastically supported beam with a lumped mass at both ends crossed by a MSD system is analyzed, examining the effect of the speed and various parameters of the viscoelastic supports. The comparison of the results of the coupled beam-MSD system and a less expensive approach, in which the MSD system is simplified by its static axle loads, shows the importance of explicitly considering the interaction between beam and MSD system for accurate response prediction.

KW - Complex modal analysis

KW - Dynamic substructuring technique

KW - Euler-Bernoulli beam

KW - Generalized corresponding assumption

KW - Moving mass-spring-damper system

KW - Non-classical damping

UR - http://www.scopus.com/inward/record.url?scp=85086581181&partnerID=8YFLogxK

U2 - 10.1016/j.ijmecsci.2020.105877

DO - 10.1016/j.ijmecsci.2020.105877

M3 - Article

AN - SCOPUS:85086581181

VL - 185

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

M1 - 105877

ER -