Comparison of viscoelastic models in simulating the transient response of a slewing polymer arm

M. J. Potvin, J. C. Piedboeuf, James Nemes

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Abstract

In this paper, we analyze the transient behavior of a polymethylmethacrylate (PMMA) slewing beam. Experimental data shows that the Young’s modulus of PMMA varies considerably between 0 and 50 Hz. For accurate simulation, this variation must be modeled. Traditional stress-strain models such as the Voigt-Kelvin and the standard linear solid models are examined and shown to have only limited abilities. Models involving fractional derivatives, which are derivatives of an order between 0 and 1, give better results. An integration algorithm based on the Newmark family is described to compute the dynamic equations with a fractional derivative.

Original languageEnglish (US)
Pages (from-to)340-345
Number of pages6
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume120
Issue number3
DOIs
StatePublished - Jan 1 1998

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All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications

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