Mathematical modeling of smart structures

Alexander L. Kalamkarov; Aleksey D. Drozdov

Mathematical modeling of smart structures

Alexander L. Kalamkarov, Aleksey D. Drozdov

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

Abstract

This paper is concerned with the basic mathematical aspects of a newly suggested theory of smart composite structures. The governing equations describing the behavior of a smart composite structure incorporating sensors and actuators are derived. The basic optimization problems in the theory of smart structures are formulated. The discussion on some relevant aspects of the optimal control theory, and on similarities and discrepancies between the theory of smart structures and theory of optimal control is provided. The basic optimization problems for the smart structures are illustrated by the applied examples of practical interest. In these examples, two major sources of control are emphasized, namely, residual strains and material properties.

Original language	English
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Editors	Vasundara V. Varadan, Jagdish Chandra
Pages	626-637
Number of pages	12
State	Published - 1 Jan 1996
Externally published	Yes
Event	Smart Structures and Materials 1996: Mathematics and Control in Smart Structures - San Diego, CA, USA Duration: 26 Feb 1996 → 29 Feb 1996

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2715

Conference

Conference	Smart Structures and Materials 1996: Mathematics and Control in Smart Structures
City	San Diego, CA, USA
Period	26/02/96 → 29/02/96

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

Cite this

@inproceedings{5b826e9ad28147fe9a7d896884531315,

title = "Mathematical modeling of smart structures",

abstract = "This paper is concerned with the basic mathematical aspects of a newly suggested theory of smart composite structures. The governing equations describing the behavior of a smart composite structure incorporating sensors and actuators are derived. The basic optimization problems in the theory of smart structures are formulated. The discussion on some relevant aspects of the optimal control theory, and on similarities and discrepancies between the theory of smart structures and theory of optimal control is provided. The basic optimization problems for the smart structures are illustrated by the applied examples of practical interest. In these examples, two major sources of control are emphasized, namely, residual strains and material properties.",

author = "Kalamkarov, {Alexander L.} and Drozdov, {Aleksey D.}",

year = "1996",

month = jan,

day = "1",

language = "English",

isbn = "0819420905",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

pages = "626--637",

editor = "Varadan, {Vasundara V.} and Jagdish Chandra",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

note = "Smart Structures and Materials 1996: Mathematics and Control in Smart Structures ; Conference date: 26-02-1996 Through 29-02-1996",

}

Kalamkarov, AL & Drozdov, AD 1996, Mathematical modeling of smart structures. in VV Varadan & J Chandra (eds), Proceedings of SPIE - The International Society for Optical Engineering. Proceedings of SPIE - The International Society for Optical Engineering, vol. 2715, pp. 626-637, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, San Diego, CA, USA, 26/02/96.

Mathematical modeling of smart structures. / Kalamkarov, Alexander L.; Drozdov, Aleksey D.
Proceedings of SPIE - The International Society for Optical Engineering. ed. / Vasundara V. Varadan; Jagdish Chandra. 1996. p. 626-637 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 2715).

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

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N2 - This paper is concerned with the basic mathematical aspects of a newly suggested theory of smart composite structures. The governing equations describing the behavior of a smart composite structure incorporating sensors and actuators are derived. The basic optimization problems in the theory of smart structures are formulated. The discussion on some relevant aspects of the optimal control theory, and on similarities and discrepancies between the theory of smart structures and theory of optimal control is provided. The basic optimization problems for the smart structures are illustrated by the applied examples of practical interest. In these examples, two major sources of control are emphasized, namely, residual strains and material properties.

AB - This paper is concerned with the basic mathematical aspects of a newly suggested theory of smart composite structures. The governing equations describing the behavior of a smart composite structure incorporating sensors and actuators are derived. The basic optimization problems in the theory of smart structures are formulated. The discussion on some relevant aspects of the optimal control theory, and on similarities and discrepancies between the theory of smart structures and theory of optimal control is provided. The basic optimization problems for the smart structures are illustrated by the applied examples of practical interest. In these examples, two major sources of control are emphasized, namely, residual strains and material properties.

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T3 - Proceedings of SPIE - The International Society for Optical Engineering

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BT - Proceedings of SPIE - The International Society for Optical Engineering

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Y2 - 26 February 1996 through 29 February 1996

ER -

Mathematical modeling of smart structures

Abstract

Publication series

Conference

ASJC Scopus subject areas

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