Details
| Original language | English |
|---|---|
| Pages (from-to) | e747-e752 |
| Journal | Ultrasonics |
| Volume | 44 |
| Issue number | SUPPL. |
| Publication status | Published - 22 Dec 2006 |
| Externally published | Yes |
Abstract
The design of piezoelectric transducers is usually based on single-objective optimization only. In most practical applications of piezoelectric transducers, however, there exist multiple design objectives that often are contradictory to each other by their very nature. It is impossible to find a solution at which each objective function gets its optimal value simultaneously. Our design approach is to first find a set of Pareto-optimal solutions, which can be considered to be best compromises among multiple design objectives. Among these Pareto-optimal solutions, the designer can then select the one solution which he considers to be the best one. In this paper we investigate the optimal design of a Langevin transducer. The design problem is formulated mathematically as a constrained multiobjective optimization problem. The maximum vibration amplitude and the minimum electrical input power are considered as optimization objectives. Design variables involve continuous variables (dimensions of the transducer) and discrete variables (the number of piezoelectric rings and material types). In order to formulate the optimization problem, the behavior of piezoelectric transducers is modeled using the transfer matrix method based on analytical models. Multiobjective evolutionary algorithms are applied in the optimization process and a set of Pareto-optimal designs is calculated. The optimized results are analyzed and the preferred design is determined.
Keywords
- Multiobjective optimization, Pareto-optimality, Piezoelectric transducer
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Acoustics and Ultrasonics
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In: Ultrasonics, Vol. 44, No. SUPPL., 22.12.2006, p. e747-e752.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Piezoelectric transducer design via multiobjective optimization
AU - Fu, B.
AU - Hemsel, T.
AU - Wallaschek, J.
N1 - Funding Information: This work was supported by the PaSCo-Graduiertenkolleg, Heinz Nixdorf Institut and China Scholarship Council. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2006/12/22
Y1 - 2006/12/22
N2 - The design of piezoelectric transducers is usually based on single-objective optimization only. In most practical applications of piezoelectric transducers, however, there exist multiple design objectives that often are contradictory to each other by their very nature. It is impossible to find a solution at which each objective function gets its optimal value simultaneously. Our design approach is to first find a set of Pareto-optimal solutions, which can be considered to be best compromises among multiple design objectives. Among these Pareto-optimal solutions, the designer can then select the one solution which he considers to be the best one. In this paper we investigate the optimal design of a Langevin transducer. The design problem is formulated mathematically as a constrained multiobjective optimization problem. The maximum vibration amplitude and the minimum electrical input power are considered as optimization objectives. Design variables involve continuous variables (dimensions of the transducer) and discrete variables (the number of piezoelectric rings and material types). In order to formulate the optimization problem, the behavior of piezoelectric transducers is modeled using the transfer matrix method based on analytical models. Multiobjective evolutionary algorithms are applied in the optimization process and a set of Pareto-optimal designs is calculated. The optimized results are analyzed and the preferred design is determined.
AB - The design of piezoelectric transducers is usually based on single-objective optimization only. In most practical applications of piezoelectric transducers, however, there exist multiple design objectives that often are contradictory to each other by their very nature. It is impossible to find a solution at which each objective function gets its optimal value simultaneously. Our design approach is to first find a set of Pareto-optimal solutions, which can be considered to be best compromises among multiple design objectives. Among these Pareto-optimal solutions, the designer can then select the one solution which he considers to be the best one. In this paper we investigate the optimal design of a Langevin transducer. The design problem is formulated mathematically as a constrained multiobjective optimization problem. The maximum vibration amplitude and the minimum electrical input power are considered as optimization objectives. Design variables involve continuous variables (dimensions of the transducer) and discrete variables (the number of piezoelectric rings and material types). In order to formulate the optimization problem, the behavior of piezoelectric transducers is modeled using the transfer matrix method based on analytical models. Multiobjective evolutionary algorithms are applied in the optimization process and a set of Pareto-optimal designs is calculated. The optimized results are analyzed and the preferred design is determined.
KW - Multiobjective optimization
KW - Pareto-optimality
KW - Piezoelectric transducer
UR - http://www.scopus.com/inward/record.url?scp=33845715388&partnerID=8YFLogxK
U2 - 10.1016/j.ultras.2006.05.087
DO - 10.1016/j.ultras.2006.05.087
M3 - Article
AN - SCOPUS:33845715388
VL - 44
SP - e747-e752
JO - Ultrasonics
JF - Ultrasonics
SN - 0041-624X
IS - SUPPL.
ER -