Vibration Power Dissipation in a Spring-Damper-Mass System Excited by Dry Friction

Cui Chao, Baiyang Shi, Jian Yang*, Marian Wiercigroch

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingPublished conference contribution


This study investigates the vibration transmission and power dissipation behaviour of a mass-spring-damper system mounted on a conveyor belt. Coulomb friction exists between the mass and the belt moving at a constant velocity and acts as the external force for the mass. The steady-state power flow characteristics are obtained based on numerical integrations. The vibration energy dissipation at the contact interface and by the viscous damper is evaluated and quantified. The vibration transmission is measured by force transmissibility. For the system without the viscous damper, the instantaneous friction power can be positive or negative, depending on the motion characteristics of the mass. For the system with the viscous damper, in the steady-state motion, the vibration energy input caused by the friction can be dissipated by the viscous damper and also by the friction. Furthermore, effects of the magnitude of conveyor belt speed, damping ratio and friction force on the dynamic behaviour of systems are examined, and the power dissipation ratio of the system is analyzed. The results are expected to provide insights into the vibration transmission and suppression design of systems with friction.

Original languageEnglish
Title of host publicationRecent Trends in Wave Mechanics and Vibrations - Proceedings of WMVC 2022
EditorsZuzana Dimitrovová, Rodrigo Gonçalves, Zuzana Dimitrovová, Paritosh Biswas, Tiago Silva
PublisherSpringer Science and Business Media B.V.
Number of pages9
ISBN (Print)9783031157578
Publication statusPublished - 2023
Event10th International Conference on Wave Mechanics and Vibrations, WMVC 2022 - Lisbon, Portugal
Duration: 4 Jul 20226 Jul 2022

Publication series

NameMechanisms and Machine Science
Volume125 MMS
ISSN (Print)2211-0984
ISSN (Electronic)2211-0992


Conference10th International Conference on Wave Mechanics and Vibrations, WMVC 2022

Bibliographical note

Funding Information:
Acknowledgement. This work was supported by National Natural Science Foundation of China under Grant number 12172185 and by the Zhejiang Provincial Natural Science Foundation under Grant number LY22A020006.

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.


  • Dry friction
  • Power dissipation
  • Vibration transmission


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