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A. Macchelli, Arjan van der Schaft, C. Melchiorri
"Multi-variable Port Hamiltonian Model of Piezoelectric Material"
 
Type Conference
Author(s) A. Macchelli, Arjan van der Schaft, C. Melchiorri
Title Multi-variable Port Hamiltonian Model of Piezoelectric Material
Editor IEEE/RSJ International Conference on Intelligent Robots and Systems IROS 2004
Keywords mathematical modeling and optimization
Abstract
In this paper, the dynamics of a piezoelectric material is presented within the new framework of multi-variable distributed port Hamiltonian systems. This class of infinite dimensional system is quite general, thus allowing the description of several physical phenomena, such as heat conduction, elasticity, electromagnetism and, of course, piezoelectricity. The key point is the generalization of the notion of finite dimensional Dirac structure in order to deal with an infinite dimensional space of power variables. In this way, the dynamics of the system results from the interconnection of a proper set of elements, each of them characterized by a particular energetic behavior, while the interaction with the environment is described in terms of mechanical and electrical boundary ports.
Document 156d.Document.pdf (104595 bytes)
Year 2004


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