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Making of state space models of piezo-mechanical systems with exact impedance mapping and strain output signals

Zustandsraummodelle von piezo-mechanischen Systemen mit exakter Impedanzabbildung und Dehnungssignalen
 
: Neugebauer, Reimund; Drossel, W.-G.; Pagel, K.; Kranz, B.

Wild, H. ; TH Zürich -ETH-:
12th Mechatronics Forum Biennal International Conference 2010. Proceedings : June 28-30, 2010, Swiss Ferderal Institute of Technology, ETH Zurich, Switzerland
Zürich: Eidgenössische Technische Hochschule Zürich, 2010
ISBN: 978-3-03-302507-3
pp.73-80 (Vol.2)
Mechatronics Forum Biennal International Conference (Mechatronics) <12, 2010, Zurich>
English
Conference Paper
Fraunhofer IWU ()
piezo-mechanical system; FEM; state-space model; impedance; strain signal

Abstract
The paper presents two methods to develop state space models of piezo-mechanical systems based on finite element discretisation. Both methods deliver state space representations, which reproduce correct frequency response functions of the full finite element model for the mechanical and the electrical DOF of the system as well as the coupling of both. The electrical stiffness matrix is an essential part of the direct transmission matrix for both methods. The usage of it is necessary for the correct reproduction of electrical impedance. One of the presented methods uses superelement matrices of the finite element model. The other one is based on a modal description of the piezomechanical system. For both approaches it is possible to incorporate strain parameters as output signals. The model approaches are demonstrated on an actuator-sensor-unit for uniaxial vibration reduction of machine tools.

: http://publica.fraunhofer.de/documents/N-134482.html