Vibration energy flow transmission in systems with Coulomb friction

Wei Dai, Jian Yang* (Corresponding Author), Marian Wiercigroch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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This study focusses on the vibration transmission and energy flow characteristics of low dimensional models of dynamical systems with Coulomb friction. The Karnopp friction model and smooth Coulomb friction models are employed to estimate the dry friction force. The steady-state responses of the system are determined by the harmonic balance (HB) approximations with numerical continuations and a time14 marching method. The level of vibration transmission and energy dissipation within the system are assessed by the force transmissibility and power flow variables. For the single degree-of-freedom
oscillator system, in the low- or high-frequency ranges away from the resonance, it is found that the dry frictional contact can suppress the vibration response and effectively dissipate vibrational energy. For the coupled oscillator, the existence of frictional contact at the interface can lead to a significant growth in the force transmissibility and energy transfer from the force-excited subsystem to the secondary system, especially at high excitation frequencies. The interfacial frictional contact can also result in a large amount of energy dissipation at the interface. The studies show that vibration transmission and
energy dissipation in a dynamic system with contacting subsystems can be tailored by adjusting the properties of the frictional contact. Design strategies can be developed using frictional contacts for vibration suppression by minimizing vibration energy transmission or maximizing energy dissipation.
Original languageEnglish
Article number106932
Number of pages19
JournalInternational Journal of Mechanical Sciences
Early online date1 Dec 2021
Publication statusPublished - 15 Jan 2022

Bibliographical note

This research was supported by the National Natural Science Foundation of China under Grant numbers 12172185 & 51605233 and by the Zhejiang Provincial Natural Science Foundation of China under Grant number LY22A020006.


  • vibration transmission
  • force transmissibility
  • energy dissipation
  • power flow analysis
  • Coulomb friction
  • nonlinear contact


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