3-D vibration analysis of microstretch plates

Esin İnan; Ahmet Kiris

doi:10.1007/978-1-4020-9100-1_19

3-D vibration analysis of microstretch plates

Esin İnan^*, Ahmet Kiris

^*Corresponding author for this work

Department of Mathematics Engineering

Isik University

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

1 Citation (Scopus)

Abstract

In the present work, rectangular plates with various boundary conditions are studied, which are modeled by the microstretch theory. Wave propagation problem is investigated and new waves are observed which do not appear in the classical theory of elasticity. Ritz method is used for this investigation. Triplicate Chebyshev series, multiplied by boundary functions, are used as admissible functions and the frequency equations of the microstretch plate are obtained by the use of Chebyshev-Ritz method. The additional frequencies due to the microstructure of the plate are observed among the values of the frequencies obtained from the classical theory of elasticity. We observed that these additional frequencies disappear while the all microstretch constants are taken as zero.

Original language	English
Title of host publication	8th International Conference on Vibration Problems, ICOVP 2007
Editors	Muralimohan Banerjee, Dipak Sengupta, Basudeb Mukhopadhyay, Esin Inan, Hilmi Demiray
Publisher	Springer Science and Business Media, LLC
Pages	189-200
Number of pages	12
ISBN (Print)	9781402090912
DOIs	https://doi.org/10.1007/978-1-4020-9100-1_19
Publication status	Published - 2008
Event	8th International Conference on Vibration Problems, ICOVP 2007 - Shibpur, India Duration: 1 Feb 2007 → 3 Feb 2007

Publication series

Name	Springer Proceedings in Physics
Volume	126
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Conference

Conference	8th International Conference on Vibration Problems, ICOVP 2007
Country/Territory	India
City	Shibpur
Period	1/02/07 → 3/02/07

Bibliographical note

Publisher Copyright:
© Springer Science + Business Media B.V. 2008.

Keywords

Microstretch theory
Natural frequencies
Plate vibration
Ritz method

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10.1007/978-1-4020-9100-1_19

Cite this

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title = "3-D vibration analysis of microstretch plates",

abstract = "In the present work, rectangular plates with various boundary conditions are studied, which are modeled by the microstretch theory. Wave propagation problem is investigated and new waves are observed which do not appear in the classical theory of elasticity. Ritz method is used for this investigation. Triplicate Chebyshev series, multiplied by boundary functions, are used as admissible functions and the frequency equations of the microstretch plate are obtained by the use of Chebyshev-Ritz method. The additional frequencies due to the microstructure of the plate are observed among the values of the frequencies obtained from the classical theory of elasticity. We observed that these additional frequencies disappear while the all microstretch constants are taken as zero.",

keywords = "Microstretch theory, Natural frequencies, Plate vibration, Ritz method",

author = "Esin İnan and Ahmet Kiris",

note = "Publisher Copyright: {\textcopyright} Springer Science + Business Media B.V. 2008.; 8th International Conference on Vibration Problems, ICOVP 2007 ; Conference date: 01-02-2007 Through 03-02-2007",

year = "2008",

doi = "10.1007/978-1-4020-9100-1_19",

language = "English",

isbn = "9781402090912",

series = "Springer Proceedings in Physics",

publisher = "Springer Science and Business Media, LLC",

pages = "189--200",

editor = "Muralimohan Banerjee and Dipak Sengupta and Basudeb Mukhopadhyay and Esin Inan and Hilmi Demiray",

booktitle = "8th International Conference on Vibration Problems, ICOVP 2007",

address = "United States",

}

İnan, E & Kiris, A 2008, 3-D vibration analysis of microstretch plates. in M Banerjee, D Sengupta, B Mukhopadhyay, E Inan & H Demiray (eds), 8th International Conference on Vibration Problems, ICOVP 2007. Springer Proceedings in Physics, vol. 126, Springer Science and Business Media, LLC, pp. 189-200, 8th International Conference on Vibration Problems, ICOVP 2007, Shibpur, India, 1/02/07. https://doi.org/10.1007/978-1-4020-9100-1_19

3-D vibration analysis of microstretch plates. / İnan, Esin; Kiris, Ahmet.
8th International Conference on Vibration Problems, ICOVP 2007. ed. / Muralimohan Banerjee; Dipak Sengupta; Basudeb Mukhopadhyay; Esin Inan; Hilmi Demiray. Springer Science and Business Media, LLC, 2008. p. 189-200 (Springer Proceedings in Physics; Vol. 126).

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

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T1 - 3-D vibration analysis of microstretch plates

AU - İnan, Esin

AU - Kiris, Ahmet

N1 - Publisher Copyright: © Springer Science + Business Media B.V. 2008.

PY - 2008

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N2 - In the present work, rectangular plates with various boundary conditions are studied, which are modeled by the microstretch theory. Wave propagation problem is investigated and new waves are observed which do not appear in the classical theory of elasticity. Ritz method is used for this investigation. Triplicate Chebyshev series, multiplied by boundary functions, are used as admissible functions and the frequency equations of the microstretch plate are obtained by the use of Chebyshev-Ritz method. The additional frequencies due to the microstructure of the plate are observed among the values of the frequencies obtained from the classical theory of elasticity. We observed that these additional frequencies disappear while the all microstretch constants are taken as zero.

AB - In the present work, rectangular plates with various boundary conditions are studied, which are modeled by the microstretch theory. Wave propagation problem is investigated and new waves are observed which do not appear in the classical theory of elasticity. Ritz method is used for this investigation. Triplicate Chebyshev series, multiplied by boundary functions, are used as admissible functions and the frequency equations of the microstretch plate are obtained by the use of Chebyshev-Ritz method. The additional frequencies due to the microstructure of the plate are observed among the values of the frequencies obtained from the classical theory of elasticity. We observed that these additional frequencies disappear while the all microstretch constants are taken as zero.

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KW - Natural frequencies

KW - Plate vibration

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A2 - Demiray, Hilmi

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ER -

3-D vibration analysis of microstretch plates

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Keywords

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