Topology optimization of a piezoelectric-mechanical actuator with single- and multiple-frequency excitation

Issue title: OIPE 2008

Article type: Research Article

Authors: Wein, Fabian^{a; *} | Kaltenbacher, Manfred^b | Bänsch, Eberhard^c | Leugering, Günter^d | Schury, Fabian^d

Affiliations: [a] Department for Sensor Technology, FAU Erlangen-Nuremberg, Erlangen, Germany | [b] Applied Mechatronics, Alpen-Adria-University Klagenfurt, Klagenfurt, Austria | [c] Chair of Applied Mathematics III, FAU Erlangen-Nuremberg, Erlangen, Germany | [d] Chair of Applied Mathematics II, FAU Erlangen-Nuremberg, Erlangen, Germany

Correspondence: [*] Corresponding author: Fabian Wein, Department for Sensor Technology, FAU Erlangen-Nuremberg, Paul-Gordan-Strasse 3–5, 91052 Erlangen, Germany. Tel.: +49 (0)91318523144; E-mail: [email protected]

Abstract: We present the topology optimization of an assembly consisting of a piezoelectric layer attached to a plate with support. The optimization domain is the piezoelectric layer. Using the SIMP (Solid Isotropic Material with Penalization) method with forced vibrations by harmonic electrical excitation, we achieve a maximization of the dynamic displacement. We show that the considered objective function can be used under certain boundary conditions to optimize the sound radiation. The vibrational patterns resulting from the optimization are analysed in comparison with the modes from an eigenvalue analysis. Multiple-frequency optimization is achieved by adaptive weighted sums. As a second optimization criterion, a flat frequency response is integrated in the optimization process.

Keywords: Topology optimization, piezoelectric coupling, sound radiation

DOI: 10.3233/JAE-2009-1022

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 30, no. 3-4, pp. 201-221, 2009