Multi-variable port Hamiltonian model of piezoelectric material

Alessandro Macchelli; Arjan van der Schaft; Claudio Melchiorri

doi:10.1109/IROS.2004.1389466

Multi-variable port Hamiltonian model of piezoelectric material

Alessandro Macchelli, Arjan van der Schaft, Claudio Melchiorri

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

15 Citations (Scopus)

87 Downloads (Pure)

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.

Original language	English
Title of host publication	Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	897-902
Number of pages	6
ISBN (Print)	0-7803-8463-6
DOIs	https://doi.org/10.1109/IROS.2004.1389466
Publication status	Published - 2004
Event	2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004 - Sendai, Japan Duration: 28 Sept 2004 → 2 Oct 2004

Conference

Conference	2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004
Abbreviated title	IROS
Country/Territory	Japan
City	Sendai
Period	28/09/04 → 2/10/04

Keywords

n/a OA procedure

Access to Document

10.1109/IROS.2004.1389466

Cite this

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title = "Multi-variable port Hamiltonian model of piezoelectric material",

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.",

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author = "Alessandro Macchelli and {van der Schaft}, Arjan and Claudio Melchiorri",

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doi = "10.1109/IROS.2004.1389466",

language = "English",

isbn = "0-7803-8463-6",

pages = "897--902",

booktitle = "Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems",

publisher = "IEEE",

address = "United States",

note = "2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004, IROS ; Conference date: 28-09-2004 Through 02-10-2004",

}

Macchelli, A, van der Schaft, A & Melchiorri, C 2004, Multi-variable port Hamiltonian model of piezoelectric material. in Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems. IEEE, Piscataway, NJ, pp. 897-902, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004, Sendai, Japan, 28/09/04. https://doi.org/10.1109/IROS.2004.1389466

Multi-variable port Hamiltonian model of piezoelectric material. / Macchelli, Alessandro; van der Schaft, Arjan; Melchiorri, Claudio.
Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems. Piscataway, NJ: IEEE, 2004. p. 897-902.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Multi-variable port Hamiltonian model of piezoelectric material

AU - Macchelli, Alessandro

AU - van der Schaft, Arjan

AU - Melchiorri, Claudio

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - n/a OA procedure

U2 - 10.1109/IROS.2004.1389466

DO - 10.1109/IROS.2004.1389466

M3 - Conference contribution

SN - 0-7803-8463-6

SP - 897

EP - 902

BT - Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems

PB - IEEE

CY - Piscataway, NJ

T2 - 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004

Y2 - 28 September 2004 through 2 October 2004

ER -

Multi-variable port Hamiltonian model of piezoelectric material

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