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On the dynamics of piezoactuated positioning systems
1Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada.
The Review of Scientific Instruments
|December 3, 2008
Summary
This study provides a theoretical basis for approximating piezoelectric actuator (PEA) positioning systems as second-order models. It also introduces a method to quantify the approximation error, improving the accuracy of dynamic modeling.
Area of Science:
- Mechanical Engineering
- Control Systems
- Materials Science
Background:
- Piezoelectric actuators (PEAs) enable precise micro-displacements.
- Positioning mechanisms driven by PEAs are often modeled as second-order systems empirically.
- A theoretical justification and error analysis for this approximation are missing in existing literature.
Purpose of the Study:
- To provide a theoretical rationale for the second-order approximation of PEA-driven positioning systems.
- To develop a method for quantifying the error inherent in this approximation.
- To validate the proposed method through experimental comparison.
Main Methods:
- The assumed mode method was employed to solve the governing equation of the system.
- A prototype positioning system was experimentally tested using step voltage inputs.
- System step responses were measured and compared against simulations using the second-order approximation.
Main Results:
- A theoretical framework for the second-order approximation of PEA dynamics was established.
- A novel method to characterize and quantify the approximation error was successfully developed.
- Experimental results confirmed that the developed method accurately quantifies the error.
Conclusions:
- The second-order approximation for PEA-driven positioning systems is theoretically justifiable.
- The proposed method effectively quantifies the error associated with the second-order approximation.
- This work enhances the understanding and application of PEA dynamics modeling.
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