by Fu Bo, Hemsel Tobias, Wallaschek Jörg
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.
Reference:
Bo, F.; Tobias, H.; Jörg, W.: Piezoelectric transducer design via multiobjective optimization. Ultrasonics, volume 44, Supplement, 2006. (Proceedings of Ultrasonics International (UI'05) and World Congress on Ultrasonics (WCU))
Bibtex Entry:
@ARTICLE{Fu2006a,
author = {Bo, Fu and Tobias, Hemsel and J{\"o}rg, Wallaschek},
title = {Piezoelectric transducer design via multiobjective optimization},
journal = {Ultrasonics},
year = {2006},
volume = {44, Supplement},
pages = {e747 - e752},
note = {<ce:title>Proceedings of Ultrasonics International (UI'05) and World
Congress on Ultrasonics (WCU)</ce:title>},
__markedentry = {[K. Agbons jr:6]},
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. },
bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0041624X06001223},
bdsk-url-2 = {http://dx.doi.org/10.1016/j.ultras.2006.05.087},
doi = {http://dx.doi.org/10.1016/j.ultras.2006.05.087},
issn = {0041-624X},
keywords = {Piezoelectric transducer},
owner = {K. Agbons jr},
timestamp = {2013.11.23},
url = {http://www.sciencedirect.com/science/article/pii/S0041624X06001223}
}