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2009
Conference Paper
Titel
Zustandsraumbeschreibung von piezo-mechanischen Systemen auf Grundlage einer Finite-Elemente-Diskretisierung
Alternative
State space representation of piezo-mechanical systems based on finite element discretization
Abstract
An application area of piezoelectric sensors and actuators is for instance active vibration control of mechanical structures. For the design of controllers for such mechatronic systems it is common practice to use reduced models of the mechanical subsystem. Often state space models of the systems concerned are applied during design of control units. On the other hand finite element models are used to characterize system behavior of continua. Therefore it is at least desirable if not necessary to map detailed finite element models to state space representations during the design process of piezo-mechanical systems. Two methods of making the state space representation of the piezo-mechanical system will be pre-sented. The first method is based on superelement matrices obtained by substructure analysis of the finite element model. The second method of making the state space representation of the piezo-mechanical system uses a modal approach. To obtain a correct representation of the piezo-mechanical system both for the mechanical subsystem and the electrical one the electrical stiffness has to be considered as direct trans-mission matrix of the state space model. Both approaches are demonstrated and compared on a simple example.