Non-linear model reduction method applied to viscoelastically damped sandwich structures

Souhir Zghal; Mohamed Lamjed Bouazizi; Noureddine Bouhaddi; Rachid Nasri

doi:10.1007/978-3-319-17527-0_55

Non-linear model reduction method applied to viscoelastically damped sandwich structures

Souhir Zghal
, Mohamed Lamjed Bouazizi
, Noureddine Bouhaddi
, Rachid Nasri

Mechanical Engineering

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

1 Scopus citations

Abstract

The aim of this paper is to present an efficient non-linear model reduction method intended to temporal dynamic analysis of viscoelastic sandwich structures. The proposed non-linear model reduction method is based on the combination of modal synthesis method, as well known, substructuring technique and Guyan reduction method. Each substructure is analyzed and reduced separately as a linear finite element model. The viscoelastic behavior of the core, which depends on frequency, is represented by Golla-Hughes-Mc Tavish (GHM) model. This model allows a correct representation of viscoelastic materials characteristics through the addition of dissipative coordinates. Once obtained, the reduced models of each substructure are assembled taking into account the local nonlinearities in the junctions leading to perform the capacity of the proposed method to reproduce the original model with accuracy and (CPU) time gain. Numerical examples are presented to illustrate the ability of the proposed non-linear model reduction method to handle both viscoelasticity and large finite elements models.

Original language	English
Title of host publication	Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015
Editors	Hachmi Ben Daly, Mnaouar Chouchane, Nizar Aifaoui, Mnaouar Chouchane, Tahar Fakhfakh, Fakher Chaari
Publisher	Springer Verlag
Pages	553-562
Number of pages	10
ISBN (Electronic)	9783319175263
DOIs	https://doi.org/10.1007/978-3-319-17527-0_55
State	Published - 2015
Event	6th International Congress on Design and Modeling of Mechanical Systems, CMSM 2015 - Hammamet, Tunisia Duration: 23 Mar 2015 → 25 Mar 2015

Publication series

Name	Lecture Notes in Control and Information Sciences
Volume	789
ISSN (Print)	0170-8643

Conference

Conference	6th International Congress on Design and Modeling of Mechanical Systems, CMSM 2015
Country/Territory	Tunisia
City	Hammamet
Period	23/03/15 → 25/03/15

Keywords

GHM model
Nonlinearities
Reduction method
Sandwich
Viscoelastic

Access to Document

10.1007/978-3-319-17527-0_55

Cite this

Zghal, S., Bouazizi, M. L., Bouhaddi, N., & Nasri, R. (2015). Non-linear model reduction method applied to viscoelastically damped sandwich structures. In H. B. Daly, M. Chouchane, N. Aifaoui, M. Chouchane, T. Fakhfakh, & F. Chaari (Eds.), Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015 (pp. 553-562). (Lecture Notes in Control and Information Sciences; Vol. 789). Springer Verlag. https://doi.org/10.1007/978-3-319-17527-0_55

Zghal, Souhir ; Bouazizi, Mohamed Lamjed ; Bouhaddi, Noureddine et al. / Non-linear model reduction method applied to viscoelastically damped sandwich structures. Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015. editor / Hachmi Ben Daly ; Mnaouar Chouchane ; Nizar Aifaoui ; Mnaouar Chouchane ; Tahar Fakhfakh ; Fakher Chaari. Springer Verlag, 2015. pp. 553-562 (Lecture Notes in Control and Information Sciences).

@inproceedings{dfc5f90baab6480fb796d87b7ddf8556,

title = "Non-linear model reduction method applied to viscoelastically damped sandwich structures",

abstract = "The aim of this paper is to present an efficient non-linear model reduction method intended to temporal dynamic analysis of viscoelastic sandwich structures. The proposed non-linear model reduction method is based on the combination of modal synthesis method, as well known, substructuring technique and Guyan reduction method. Each substructure is analyzed and reduced separately as a linear finite element model. The viscoelastic behavior of the core, which depends on frequency, is represented by Golla-Hughes-Mc Tavish (GHM) model. This model allows a correct representation of viscoelastic materials characteristics through the addition of dissipative coordinates. Once obtained, the reduced models of each substructure are assembled taking into account the local nonlinearities in the junctions leading to perform the capacity of the proposed method to reproduce the original model with accuracy and (CPU) time gain. Numerical examples are presented to illustrate the ability of the proposed non-linear model reduction method to handle both viscoelasticity and large finite elements models.",

keywords = "GHM model, Nonlinearities, Reduction method, Sandwich, Viscoelastic",

author = "Souhir Zghal and Bouazizi, \{Mohamed Lamjed\} and Noureddine Bouhaddi and Rachid Nasri",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; 6th International Congress on Design and Modeling of Mechanical Systems, CMSM 2015 ; Conference date: 23-03-2015 Through 25-03-2015",

year = "2015",

doi = "10.1007/978-3-319-17527-0\_55",

language = "English",

series = "Lecture Notes in Control and Information Sciences",

publisher = "Springer Verlag",

pages = "553--562",

editor = "Daly, \{Hachmi Ben\} and Mnaouar Chouchane and Nizar Aifaoui and Mnaouar Chouchane and Tahar Fakhfakh and Fakher Chaari",

booktitle = "Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015",

address = "Germany",

}

Zghal, S, Bouazizi, ML, Bouhaddi, N & Nasri, R 2015, Non-linear model reduction method applied to viscoelastically damped sandwich structures. in HB Daly, M Chouchane, N Aifaoui, M Chouchane, T Fakhfakh & F Chaari (eds), Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015. Lecture Notes in Control and Information Sciences, vol. 789, Springer Verlag, pp. 553-562, 6th International Congress on Design and Modeling of Mechanical Systems, CMSM 2015, Hammamet, Tunisia, 23/03/15. https://doi.org/10.1007/978-3-319-17527-0_55

Non-linear model reduction method applied to viscoelastically damped sandwich structures. / Zghal, Souhir; Bouazizi, Mohamed Lamjed; Bouhaddi, Noureddine et al.
Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015. ed. / Hachmi Ben Daly; Mnaouar Chouchane; Nizar Aifaoui; Mnaouar Chouchane; Tahar Fakhfakh; Fakher Chaari. Springer Verlag, 2015. p. 553-562 (Lecture Notes in Control and Information Sciences; Vol. 789).

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

TY - GEN

T1 - Non-linear model reduction method applied to viscoelastically damped sandwich structures

AU - Zghal, Souhir

AU - Bouazizi, Mohamed Lamjed

AU - Bouhaddi, Noureddine

AU - Nasri, Rachid

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2015.

PY - 2015

Y1 - 2015

N2 - The aim of this paper is to present an efficient non-linear model reduction method intended to temporal dynamic analysis of viscoelastic sandwich structures. The proposed non-linear model reduction method is based on the combination of modal synthesis method, as well known, substructuring technique and Guyan reduction method. Each substructure is analyzed and reduced separately as a linear finite element model. The viscoelastic behavior of the core, which depends on frequency, is represented by Golla-Hughes-Mc Tavish (GHM) model. This model allows a correct representation of viscoelastic materials characteristics through the addition of dissipative coordinates. Once obtained, the reduced models of each substructure are assembled taking into account the local nonlinearities in the junctions leading to perform the capacity of the proposed method to reproduce the original model with accuracy and (CPU) time gain. Numerical examples are presented to illustrate the ability of the proposed non-linear model reduction method to handle both viscoelasticity and large finite elements models.

AB - The aim of this paper is to present an efficient non-linear model reduction method intended to temporal dynamic analysis of viscoelastic sandwich structures. The proposed non-linear model reduction method is based on the combination of modal synthesis method, as well known, substructuring technique and Guyan reduction method. Each substructure is analyzed and reduced separately as a linear finite element model. The viscoelastic behavior of the core, which depends on frequency, is represented by Golla-Hughes-Mc Tavish (GHM) model. This model allows a correct representation of viscoelastic materials characteristics through the addition of dissipative coordinates. Once obtained, the reduced models of each substructure are assembled taking into account the local nonlinearities in the junctions leading to perform the capacity of the proposed method to reproduce the original model with accuracy and (CPU) time gain. Numerical examples are presented to illustrate the ability of the proposed non-linear model reduction method to handle both viscoelasticity and large finite elements models.

KW - GHM model

KW - Nonlinearities

KW - Reduction method

KW - Sandwich

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/84926297742

U2 - 10.1007/978-3-319-17527-0_55

DO - 10.1007/978-3-319-17527-0_55

M3 - Conference contribution

AN - SCOPUS:84926297742

T3 - Lecture Notes in Control and Information Sciences

SP - 553

EP - 562

BT - Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015

A2 - Daly, Hachmi Ben

A2 - Chouchane, Mnaouar

A2 - Aifaoui, Nizar

A2 - Chouchane, Mnaouar

A2 - Fakhfakh, Tahar

A2 - Chaari, Fakher

PB - Springer Verlag

T2 - 6th International Congress on Design and Modeling of Mechanical Systems, CMSM 2015

Y2 - 23 March 2015 through 25 March 2015

ER -

Zghal S, Bouazizi ML, Bouhaddi N, Nasri R. Non-linear model reduction method applied to viscoelastically damped sandwich structures. In Daly HB, Chouchane M, Aifaoui N, Chouchane M, Fakhfakh T, Chaari F, editors, Design and Modeling of Mechanical Systems - II - Proceedings of the 6th Conference on Design and Modeling of Mechanical Systems, CMSM 2015. Springer Verlag. 2015. p. 553-562. (Lecture Notes in Control and Information Sciences). doi: 10.1007/978-3-319-17527-0_55

Non-linear model reduction method applied to viscoelastically damped sandwich structures

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this