Characterize the high-frequency dynamic properties of elastomers using fractional calculus for FEM

Y. Charles Lu, Michael E. Anderson, David A. Nash

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations


Finite element modeling has been used extensively nowadays for predicting the noise and vibration performance of whole engines or subsystems. However, the elastomeric components on the engines or subsystems are often omitted in the FE models due to some known difficulties. One of these is the lack of the material properties at higher frequencies. The elastomer is known to have frequency-dependent viscoelasticity, i.e., the dynamic modulus increases monotonically with frequency and the damping exhibits a peak. These properties can be easily measured using conventional dynamic mechanical experiments but only in the lower range of frequencies. The present paper describes a method for characterizing the viscoelastic properties at higher frequencies using fractional calculus. The viscoelastic constitutive equations based on fractional derivatives are discussed. The method is then used to predict the high frequency properties of an elastomer. The incorporation of these data into finite element models is demonstrated by the modeling of an engine cover with elastomer seals.

Original languageEnglish
JournalSAE Technical Papers
StatePublished - 2007
EventNoise and Vibration Conference and Exhibition - St. Charles, IL, United States
Duration: May 15 2007May 17 2007

ASJC Scopus subject areas

  • Automotive Engineering
  • Safety, Risk, Reliability and Quality
  • Pollution
  • Industrial and Manufacturing Engineering


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