Details
| Original language | English |
|---|---|
| Article number | 105877 |
| Journal | International Journal of Mechanical Sciences |
| Volume | 185 |
| Early online date | 12 Jun 2020 |
| Publication status | Published - Nov 2020 |
| Externally published | Yes |
Abstract
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.
Keywords
- Complex modal analysis, Dynamic substructuring technique, Euler-Bernoulli beam, Generalized corresponding assumption, Moving mass-spring-damper system, Non-classical damping
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: International Journal of Mechanical Sciences, Vol. 185, 105877, 11.2020.
Research output: Contribution to journal › Article › Research › peer review
}
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 -