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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Isik University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

1 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	8th International Conference on Vibration Problems, ICOVP 2007
Editörler	Muralimohan Banerjee, Dipak Sengupta, Basudeb Mukhopadhyay, Esin Inan, Hilmi Demiray
Yayınlayan	Springer Science and Business Media, LLC
Sayfalar	189-200
Sayfa sayısı	12
ISBN (Basılı)	9781402090912
DOI'lar	https://doi.org/10.1007/978-1-4020-9100-1_19
Yayın durumu	Yayınlandı - 2008
Etkinlik	8th International Conference on Vibration Problems, ICOVP 2007 - Shibpur, India Süre: 1 Şub 2007 → 3 Şub 2007

Yayın serisi

Adı	Springer Proceedings in Physics
Hacim	126
ISSN (Basılı)	0930-8989
ISSN (Elektronik)	1867-4941

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	8th International Conference on Vibration Problems, ICOVP 2007
Ülke/Bölge	India
Şehir	Shibpur
Periyot	1/02/07 → 3/02/07

Bibliyografik not

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

Belgeye Erişim

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

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@inproceedings{a479c2f7a6e8478c90ea2838ac8fc44c,

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, hac. 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; Hac. 126).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

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

Y1 - 2008

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.

KW - Microstretch theory

KW - Natural frequencies

KW - Plate vibration

KW - Ritz method

UR - https://www.scopus.com/pages/publications/85032991532

U2 - 10.1007/978-1-4020-9100-1_19

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

M3 - Conference contribution

AN - SCOPUS:85032991532

SN - 9781402090912

T3 - Springer Proceedings in Physics

SP - 189

EP - 200

BT - 8th International Conference on Vibration Problems, ICOVP 2007

A2 - Banerjee, Muralimohan

A2 - Sengupta, Dipak

A2 - Mukhopadhyay, Basudeb

A2 - Inan, Esin

A2 - Demiray, Hilmi

PB - Springer Science and Business Media, LLC

T2 - 8th International Conference on Vibration Problems, ICOVP 2007

Y2 - 1 February 2007 through 3 February 2007

ER -

3-D vibration analysis of microstretch plates

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