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Proceedings Paper

Modeling of piezo-flexural nanopositioning systems subjected to rate-varying inputs
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Paper Abstract

A general modeling scheme is proposed for precision positioning of piezoelectrically-driven flexural systems. To describe the nonlinear behavior of the structure while also considering the system dynamics, a second order linear dynamic model subjected to nonlinear hysteretic input is first adopted. Using the memory-dependent properties of hysteresis nonlinearity, a new mathematical framework is then proposed for describing this phenomenon. More specifically, a nonlinear mapping strategy is proposed for the approximation of each of the ascending and descending multiple-loop hysteresis curves based on the shape of hysteresis reference curves. The trace of internal hysteresis trajectory is, however, obtained based on the locations of the past turning points, corresponding to the input extrema. Experimental tests are carried out on a dual-axis piezoelectrically-driven flexural stage to demonstrate the contribution of dynamic and hysteresis models, individually and combined together, on the improvement of the model response. Results indicate that the proposed hysteresis model can effectively predict the nonlinear response of the system, while the influence of dynamic model is more apparent for high rate inputs.

Paper Details

Date Published: 27 April 2007
PDF: 9 pages
Proc. SPIE 6525, Active and Passive Smart Structures and Integrated Systems 2007, 652529 (27 April 2007); doi: 10.1117/12.715818
Show Author Affiliations
Saeid Bashash, Clemson Univ. (United States)
Nader Jalili, Clemson Univ. (United States)


Published in SPIE Proceedings Vol. 6525:
Active and Passive Smart Structures and Integrated Systems 2007
Yuji Matsuzaki; Mehdi Ahmadian; Donald J. Leo, Editor(s)

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