Optimal Design of Maxwell-Viscous Coulomb Air Damper with a Modified Fixed Point Theory

Wai On Wong, Chun Nam Wong

Research output: Journal article publicationJournal articleAcademic researchpeer-review


Air damper dynamic vibration absorber (DVA) is modeled using Maxwell transformed element and coulomb element. This damper serves to minimize vibration at resonant and operation of constant speed machine. Its stiffness and damping factor are transformed from Maxwell to Voigt arrangement. Meanwhile, viscous equivalent Coulomb damping is expressed by absolute relative motion. System transmissibility contours are plotted by min-max approach. Its optimal parameters are determined using this approach. Contour operation minimization is obtained from minimum system transmissibility. Moreover, exact solution of fixed points and optimal natural frequency ratio are obtained by a modified fixed point theory. Optimal design curve is derived by Coulomb damping derivative and maximum condition. Operational vibration level is minimized by 7% at the operation minimization using minimum condition. On the experimental side, test platform of the air damper is constructed using linear slide block system. Computational model of the air damper is established by its physical details and experimental data. Linear relationship is obtained between viscous and Coulomb damping angles. Modified fixed points are validated by frequency response function resonant peaks. Experimental vibration level is minimized by 5%, which being close to the minimization result. The model is validated within 5% accuracy by its optimal experimental curve.

Original languageEnglish
Article number031002
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Issue number3
Publication statusPublished - 1 Jun 2021


  • Air damper
  • Coulomb damping derivative
  • linear slide block test platform
  • Maxwell-VC-DVA
  • operation minimization
  • optimal design curve
  • vibration isolation

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


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