21 August 2001 Optimal placement of active elements by use of an analytic effectiveness and a combination of optimization algorithms
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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.
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Wolfgang Wohlers, Hans-G. Reimerdes, 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); doi: 10.1117/12.436509; https://doi.org/10.1117/12.436509
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