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1045389X06075522v1
19/4/445    most recent
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First published on May 10, 2007, doi:10.1177/1045389X06075522

Journal of Intelligent Material Systems and Structures 2008;19:445.

A more recent version of this article appeared on April 1, 2008
 © 2007 SAGE Publications

Article

Topology Optimization of a Piezoelectric Actuator on an Elastic Beam

Joachim Drenckhan1, Arnold Lumsdaine2*, Matthew Parsons2

1 University of Hamburg, Holstenhofweg 85, D-22043 Hamburg, Germany
2 Department of Mechanical, Aerospace, and Biomedical Engineering The University of Tennessee Knoxville, TN 37996, USA

* To whom correspondence should be addressed.


  Abstract

The purpose of this study is to investigate the optimal topology of a piezoelectric actuator in reducing the tip deflection of a static cantilever beam under a concentrated tip load. Optimized topologies are obtained for both statically loaded and harmonically excited cases. The beam is modeled using the commercial finite element code ABAQUS, and a proportional control law is implemented through modification of the stiffness matrices. Parameter studies varying the gain and volume of the piezoelectric material are conducted. Optimal topologies show substantial improvement over equivalent uniform piezoelectric layers. This study also demonstrates the possibility of using a commercial FE code for studying structural control with piezoelectric materials.

Key Words: topology optimization, piezoelectric, active control.


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