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An Interval Branch and Bound Method Dedicated to the Optimal Design of Piezoelectric Actuators

By Frederic Messine and Valerie Monturet


Abstract:- The purpose of this article is to show the advantage of a deterministic global optimization method in the optimal design of electromechanical actuators. The numerical methods classically used are found either on Non-linear Programming techniques (Augmented Lagrangian, Sequential Quadratic Programming,...) or on stochastic approaches which are more satisfactorily adapted to global optimum research (Genetic Algorithm, Simulated Annealing,...). However, these kinds of methods only guarantee to reach the global optimum with some probabilities. The present paper proposes a deterministic interval Branch and Bound algorithm adapted to the dimensioning of a heterogeneous bimorph bar, working in bending quasi-static mode. This problem is formulated as a optimization problem with constraints and mixed variables: real and categorical types. Original solutions are given and discussed at the end of the paper

Topics: Interval Analysis, Deterministic Global Optimization, Branch and Bound algorithms, Design of Piezoelectric Actuators, Mixed Problem, Categorical Variables
Year: 2014
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