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) |
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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 | |
State | Published - Jan 1 1998 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Information Systems
- Instrumentation
- Mechanical Engineering
- Computer Science Applications