The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars

Merve Ermiş; Nihal Eratli; Mehmet H. Omurtag

doi:10.1063/1.4938973

The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars

Merve Ermiş, Nihal Eratli, Mehmet H. Omurtag

Department of Civil Engineering

Istanbul Technical University

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

Abstract

The objective of this study is to investigate the influence of the rotary inertia on the dynamic behavior of linear viscoelastic non-cylindrical helicoidal bars due to variation of the active turns. Dynamic analysis is performed in the Laplace space by using the mixed finite element method. The standard model is used for defining the viscoelastic material behavior and by using the correspondence principle, the material constants are replaced with their complex counterparts in the Laplace space. The solution under the rectangular impulsive type loading is carried out in the Laplace space and then the results are transformed back to time domain numerically by the Modified Durbin's transformation algorithm. Some original numerical results for the dynamic behavior of linear viscoelastic non-cylindrical helices with rectangular cross-section are presented.

Original language	English
Title of host publication	International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015
Editors	Zacharoula Kalogiratou, Theodore E. Simos, Theodore Monovasilis, Theodore E. Simos, Theodore E. Simos
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735413498
DOIs	https://doi.org/10.1063/1.4938973
Publication status	Published - 31 Dec 2015
Event	International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015 - Athens, Greece Duration: 20 Mar 2015 → 23 Mar 2015

Publication series

Name	AIP Conference Proceedings
Volume	1702
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015
Country/Territory	Greece
City	Athens
Period	20/03/15 → 23/03/15

Bibliographical note

Publisher Copyright:
© 2015 AIP Publishing LLC.

Keywords

Laplace space
mixed finite element method
non-cylindrical helicoidal bars
rotary inertia
Timoshenko beam theory
viscoelasticity

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10.1063/1.4938973

Cite this

Ermiş, M., Eratli, N., & Omurtag, M. H. (2015). The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars. In Z. Kalogiratou, T. E. Simos, T. Monovasilis, T. E. Simos, & T. E. Simos (Eds.), International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015 Article 190006 (AIP Conference Proceedings; Vol. 1702). American Institute of Physics Inc.. https://doi.org/10.1063/1.4938973

Ermiş, Merve ; Eratli, Nihal ; Omurtag, Mehmet H. / The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars. International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015. editor / Zacharoula Kalogiratou ; Theodore E. Simos ; Theodore Monovasilis ; Theodore E. Simos ; Theodore E. Simos. American Institute of Physics Inc., 2015. (AIP Conference Proceedings).

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title = "The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars",

abstract = "The objective of this study is to investigate the influence of the rotary inertia on the dynamic behavior of linear viscoelastic non-cylindrical helicoidal bars due to variation of the active turns. Dynamic analysis is performed in the Laplace space by using the mixed finite element method. The standard model is used for defining the viscoelastic material behavior and by using the correspondence principle, the material constants are replaced with their complex counterparts in the Laplace space. The solution under the rectangular impulsive type loading is carried out in the Laplace space and then the results are transformed back to time domain numerically by the Modified Durbin's transformation algorithm. Some original numerical results for the dynamic behavior of linear viscoelastic non-cylindrical helices with rectangular cross-section are presented.",

keywords = "Laplace space, mixed finite element method, non-cylindrical helicoidal bars, rotary inertia, Timoshenko beam theory, viscoelasticity",

author = "Merve Ermi{\c s} and Nihal Eratli and Omurtag, {Mehmet H.}",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015 ; Conference date: 20-03-2015 Through 23-03-2015",

year = "2015",

month = dec,

day = "31",

doi = "10.1063/1.4938973",

language = "English",

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Ermiş, M, Eratli, N & Omurtag, MH 2015, The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars. in Z Kalogiratou, TE Simos, T Monovasilis, TE Simos & TE Simos (eds), International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015., 190006, AIP Conference Proceedings, vol. 1702, American Institute of Physics Inc., International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015, Athens, Greece, 20/03/15. https://doi.org/10.1063/1.4938973

The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars. / Ermiş, Merve; Eratli, Nihal; Omurtag, Mehmet H.
International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015. ed. / Zacharoula Kalogiratou; Theodore E. Simos; Theodore Monovasilis; Theodore E. Simos; Theodore E. Simos. American Institute of Physics Inc., 2015. 190006 (AIP Conference Proceedings; Vol. 1702).

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

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Y1 - 2015/12/31

N2 - The objective of this study is to investigate the influence of the rotary inertia on the dynamic behavior of linear viscoelastic non-cylindrical helicoidal bars due to variation of the active turns. Dynamic analysis is performed in the Laplace space by using the mixed finite element method. The standard model is used for defining the viscoelastic material behavior and by using the correspondence principle, the material constants are replaced with their complex counterparts in the Laplace space. The solution under the rectangular impulsive type loading is carried out in the Laplace space and then the results are transformed back to time domain numerically by the Modified Durbin's transformation algorithm. Some original numerical results for the dynamic behavior of linear viscoelastic non-cylindrical helices with rectangular cross-section are presented.

AB - The objective of this study is to investigate the influence of the rotary inertia on the dynamic behavior of linear viscoelastic non-cylindrical helicoidal bars due to variation of the active turns. Dynamic analysis is performed in the Laplace space by using the mixed finite element method. The standard model is used for defining the viscoelastic material behavior and by using the correspondence principle, the material constants are replaced with their complex counterparts in the Laplace space. The solution under the rectangular impulsive type loading is carried out in the Laplace space and then the results are transformed back to time domain numerically by the Modified Durbin's transformation algorithm. Some original numerical results for the dynamic behavior of linear viscoelastic non-cylindrical helices with rectangular cross-section are presented.

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KW - mixed finite element method

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Ermiş M, Eratli N, Omurtag MH. The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars. In Kalogiratou Z, Simos TE, Monovasilis T, Simos TE, Simos TE, editors, International Conference of Computational Methods in Sciences and Engineering 2015, ICCMSE 2015. American Institute of Physics Inc. 2015. 190006. (AIP Conference Proceedings). doi: 10.1063/1.4938973

The influence of the rotary inertia on the dynamic behavior of viscoelastic non-cylindrical helicoidal bars

Abstract

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Keywords

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