Optimal placement of active elements by use of an analytic effectiveness and a combination of optimization algorithms

Wolfgang Wohlers; Hans-G. Reimerdes; Jochen Guennewig

doi:10.1117/12.436509

21 August 2001 Optimal placement of active elements by use of an analytic effectiveness and a combination of optimization algorithms

Wolfgang Wohlers, Hans-G. Reimerdes, Jochen Guennewig

Author Affiliations +

Proceedings Volume 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures; (2001) https://doi.org/10.1117/12.436509
Event: SPIE's 8th Annual International Symposium on Smart Structures and Materials, 2001, Newport Beach, CA, United States

Abstract

The design of active structures requires numerous design tasks to be performed. One of these is the placement of the sensors and actuators. For complex structures this leads to a complicated optimization process. In this paper, an analytical method to evaluate the effectiveness of the position of one or more actuators respectively sensors will be presented. It is based on a modal description of the system and the differential equations of motion. Subsequently a genetic and a search algorithm are used to find the optimal locations for piezoceramic patches. This is done for one actuator on a flat rectangular plate as a benchmark test, where the optimization results are compared to a complete search of all possible locations. In a second case two active elements are positioned to obtain the optimal locations for the control of the first eight eigenmodes. This represents a case where the complete enumeration of the search space is infeasible. A comparison of the tested optimization methods and the proposal of a procedure for optimal placement of active elements will conclude the paper.

Citation Download Citation

Wolfgang Wohlers, Hans-G. Reimerdes, and Jochen Guennewig "Optimal placement of active elements by use of an analytic effectiveness and a combination of optimization algorithms", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001); https://doi.org/10.1117/12.436509

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