Stochastic modeling of friction force and vibration analysis of a mechanical system using the model

Won Seok Kang, Chan Kyu Choi, Hong Hee Yoo

Research output: Contribution to journalArticle

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The squeal noise generated from a disk brake or chatter occurred in a machine tool primarily results from friction-induced vibration. Since friction-induced vibration is usually accompanied by abrasion and lifespan reduction of mechanical parts, it is necessary to develop a reliable analysis model by which friction-induced vibration phenomena can be accurately analyzed. The original Coulomb’s friction model or the modified Coulomb friction model employed in most commercial programs employs deterministic friction coefficients. However, observing friction phenomena between two contact surfaces, one may observe that friction coefficients keep changing due to the unevenness of contact surface, temperature, lubrication and humidity. Therefore, in this study, friction coefficients are modeled as random parameters that keep changing during the motion of a mechanical system undergoing friction force. The integrity of the proposed stochastic friction model was validated by comparing the analysis results obtained by the proposed model with experimental results.

Original languageEnglish
Pages (from-to)3645-3652
Number of pages8
JournalJournal of Mechanical Science and Technology
Issue number9
Publication statusPublished - 2015 Sep 22



  • Coulomb friction model
  • Friction oscillator
  • Friction-induced vibration
  • Stochastic friction model

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