Dynamic response of visco-elastic plates

Fethi Kadloǧlu; Gülçin Tekin

doi:10.1063/1.4968756

Dynamic response of visco-elastic plates

Fethi Kadloǧlu, Gülçin Tekin

Department of Civil Engineering

Istanbul Technical University

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

1 Citation (Scopus)

Abstract

In this study, a comprehensive analysis about the dynamic response characteristics of visco-elastic plates is given. To construct the functional in the Laplace-Carson domain for the analysis of visco-elastic plates based on the Kirchhoff hypothesis, functional analysis method is employed. By using this new energy functional in the Laplace-Carson domain, moment values that are important for engineers can be obtained directly with excellent accuracy and element equations can be written explicitly. Three-element model is considered for modelling the visco-elastic material behavior. The solutions obtained in the Laplace-Carson domain by utilizing mixed finite element formulation are transformed to the time domain using the Durbin's inverse Laplace transform technique. The proposed mixed finite element formulation is shown to be simple to implement and gives satisfactory results for dynamic response of visco-elastic plates.

Original language	English
Title of host publication	International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016
Editors	Zacharoula Kalogiratou, Theodore E. Simos, Theodore Monovasilis, Theodore E. Simos, Theodore E. Simos
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735414549
DOIs	https://doi.org/10.1063/1.4968756
Publication status	Published - 6 Dec 2016
Event	International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016 - Athens, Greece Duration: 17 Mar 2016 → 20 Mar 2016

Publication series

Name	AIP Conference Proceedings
Volume	1790
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016
Country/Territory	Greece
City	Athens
Period	17/03/16 → 20/03/16

Bibliographical note

Publisher Copyright:
© 2016 Author(s).

Keywords

dynamic response
energy functional
inverse Laplace transform
visco-elastic

Access to Document

10.1063/1.4968756

Cite this

Kadloǧlu, F., & Tekin, G. (2016). Dynamic response of visco-elastic plates. In Z. Kalogiratou, T. E. Simos, T. Monovasilis, T. E. Simos, & T. E. Simos (Eds.), International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016 Article 150017 (AIP Conference Proceedings; Vol. 1790). American Institute of Physics Inc.. https://doi.org/10.1063/1.4968756

@inproceedings{da948f3b065748fcb827d18673db15e9,

title = "Dynamic response of visco-elastic plates",

abstract = "In this study, a comprehensive analysis about the dynamic response characteristics of visco-elastic plates is given. To construct the functional in the Laplace-Carson domain for the analysis of visco-elastic plates based on the Kirchhoff hypothesis, functional analysis method is employed. By using this new energy functional in the Laplace-Carson domain, moment values that are important for engineers can be obtained directly with excellent accuracy and element equations can be written explicitly. Three-element model is considered for modelling the visco-elastic material behavior. The solutions obtained in the Laplace-Carson domain by utilizing mixed finite element formulation are transformed to the time domain using the Durbin's inverse Laplace transform technique. The proposed mixed finite element formulation is shown to be simple to implement and gives satisfactory results for dynamic response of visco-elastic plates.",

keywords = "dynamic response, energy functional, inverse Laplace transform, visco-elastic",

author = "Fethi Kadloǧlu and G{\"u}l{\c c}in Tekin",

note = "Publisher Copyright: {\textcopyright} 2016 Author(s).; International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016 ; Conference date: 17-03-2016 Through 20-03-2016",

year = "2016",

month = dec,

day = "6",

doi = "10.1063/1.4968756",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Zacharoula Kalogiratou and Simos, {Theodore E.} and Theodore Monovasilis and Simos, {Theodore E.} and Simos, {Theodore E.}",

booktitle = "International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016",

}

Kadloǧlu, F & Tekin, G 2016, Dynamic response of visco-elastic plates. in Z Kalogiratou, TE Simos, T Monovasilis, TE Simos & TE Simos (eds), International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016., 150017, AIP Conference Proceedings, vol. 1790, American Institute of Physics Inc., International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016, Athens, Greece, 17/03/16. https://doi.org/10.1063/1.4968756

Dynamic response of visco-elastic plates. / Kadloǧlu, Fethi; Tekin, Gülçin.
International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016. ed. / Zacharoula Kalogiratou; Theodore E. Simos; Theodore Monovasilis; Theodore E. Simos; Theodore E. Simos. American Institute of Physics Inc., 2016. 150017 (AIP Conference Proceedings; Vol. 1790).

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

TY - GEN

T1 - Dynamic response of visco-elastic plates

AU - Kadloǧlu, Fethi

AU - Tekin, Gülçin

PY - 2016/12/6

Y1 - 2016/12/6

N2 - In this study, a comprehensive analysis about the dynamic response characteristics of visco-elastic plates is given. To construct the functional in the Laplace-Carson domain for the analysis of visco-elastic plates based on the Kirchhoff hypothesis, functional analysis method is employed. By using this new energy functional in the Laplace-Carson domain, moment values that are important for engineers can be obtained directly with excellent accuracy and element equations can be written explicitly. Three-element model is considered for modelling the visco-elastic material behavior. The solutions obtained in the Laplace-Carson domain by utilizing mixed finite element formulation are transformed to the time domain using the Durbin's inverse Laplace transform technique. The proposed mixed finite element formulation is shown to be simple to implement and gives satisfactory results for dynamic response of visco-elastic plates.

AB - In this study, a comprehensive analysis about the dynamic response characteristics of visco-elastic plates is given. To construct the functional in the Laplace-Carson domain for the analysis of visco-elastic plates based on the Kirchhoff hypothesis, functional analysis method is employed. By using this new energy functional in the Laplace-Carson domain, moment values that are important for engineers can be obtained directly with excellent accuracy and element equations can be written explicitly. Three-element model is considered for modelling the visco-elastic material behavior. The solutions obtained in the Laplace-Carson domain by utilizing mixed finite element formulation are transformed to the time domain using the Durbin's inverse Laplace transform technique. The proposed mixed finite element formulation is shown to be simple to implement and gives satisfactory results for dynamic response of visco-elastic plates.

KW - dynamic response

KW - energy functional

KW - inverse Laplace transform

KW - visco-elastic

UR - http://www.scopus.com/inward/record.url?scp=85008668704&partnerID=8YFLogxK

U2 - 10.1063/1.4968756

DO - 10.1063/1.4968756

M3 - Conference contribution

AN - SCOPUS:85008668704

T3 - AIP Conference Proceedings

BT - International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016

A2 - Kalogiratou, Zacharoula

A2 - Simos, Theodore E.

A2 - Monovasilis, Theodore

A2 - Simos, Theodore E.

PB - American Institute of Physics Inc.

T2 - International Conference of Computational Methods in Sciences and Engineering 2016, ICCMSE 2016

Y2 - 17 March 2016 through 20 March 2016

ER -

Dynamic response of visco-elastic plates

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this