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

M. J. Potvin; J. C. Piedboeuf; J. A. Nemes

doi:10.1115/1.2805407

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

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

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 language	English (US)
Pages (from-to)	340-345
Number of pages	6
Journal	Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume	120
Issue number	3
DOIs	https://doi.org/10.1115/1.2805407
State	Published - Sep 1998

All Science Journal Classification (ASJC) codes

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

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10.1115/1.2805407

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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{\textquoteright}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.",

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AU - Nemes, J. A.

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Y1 - 1998/9

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AB - 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.

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

Abstract

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