Multi-variable port Hamiltonian model of piezoelectric material

A. Macchelli, Alessandro Macchelli, Arjan van der Schaft, Claudio Melchiorri

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

10 Citations (Scopus)
42 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 languageUndefined
Title of host publicationProceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems
Place of PublicationSendai, Japan
PublisherIEEE
Pages897-902
Number of pages6
ISBN (Print)0-7803-8463-6
DOIs
Publication statusPublished - 2004
Event2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004 - Sendai, Japan
Duration: 28 Sep 20042 Oct 2004

Publication series

Name
PublisherIEEE
Volume1

Conference

Conference2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004
Abbreviated titleIROS
CountryJapan
CitySendai
Period28/09/042/10/04

Keywords

  • METIS-220479
  • IR-69162
  • EWI-16815

Cite this

Macchelli, A., 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 (pp. 897-902). [10.1109/IROS.2004.1389466] Sendai, Japan: IEEE. https://doi.org/10.1109/IROS.2004.1389466
Macchelli, A. ; Macchelli, Alessandro ; van der Schaft, Arjan ; Melchiorri, Claudio. / Multi-variable port Hamiltonian model of piezoelectric material. Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems. Sendai, Japan : IEEE, 2004. pp. 897-902
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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 = "A. Macchelli and Alessandro Macchelli and {van der Schaft}, Arjan and Claudio Melchiorri",
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doi = "10.1109/IROS.2004.1389466",
language = "Undefined",
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Macchelli, A, 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., 10.1109/IROS.2004.1389466, IEEE, Sendai, Japan, 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, A.; Macchelli, Alessandro; van der Schaft, Arjan; Melchiorri, Claudio.

Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems. Sendai, Japan : IEEE, 2004. p. 897-902 10.1109/IROS.2004.1389466.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Multi-variable port Hamiltonian model of piezoelectric material

AU - Macchelli, A.

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 - METIS-220479

KW - IR-69162

KW - EWI-16815

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DO - 10.1109/IROS.2004.1389466

M3 - Conference contribution

SN - 0-7803-8463-6

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EP - 902

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

PB - IEEE

CY - Sendai, Japan

ER -

Macchelli A, Macchelli A, van der Schaft A, Melchiorri C. Multi-variable port Hamiltonian model of piezoelectric material. In Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems. Sendai, Japan: IEEE. 2004. p. 897-902. 10.1109/IROS.2004.1389466 https://doi.org/10.1109/IROS.2004.1389466