A comparative study of finite element modeling techniques for dynamic analysis of elastic-viscoelastic-elastic sandwich structures

Abstract

Two finite element formulations using different laminate plate theories are developed for the elastic-viscoelastic-elastic sandwich plates. A critical comparison and assessment between them are provided. The dynamic characteristics, namely, the natural frequencies and associated loss factors of the elastic-viscoelastic-elastic sandwich plates are calculated using the two finite element models. The two models are validated through the numerical example and experiment results. Comparisons of the accuracy and computational efficiency of the two finite element models are given. The results show that both of the two finite element models have good accuracy in predicting the natural frequencies and the loss factors with different efficiency. The works in this article have instructive significance in the calculation and application of the elastic-viscoelastic-elastic sandwich structures.

Keywords

Sandwich plate viscoelastic material dynamic analysis finite element method

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References

Saeed

Hassan

Hossein

. Free and forced random vibration analysis of sandwich plates with thick viscoelastic cores. J Sound Vib 2012; 19: 2223–2240.

Nakra

. Vibration control in machines and structures using viscoelastic damping. J Sound Vib 1998; 211: 449–465.

Ditaranto

. Theory of vibratory bending for elastic and viscoelastic layered finite length beams. J Appl Mech-T ASME 1959; 32: 881–886.

Mead

Markus

. The forced vibration of a three-layer damping sandwich beam with arbitrary boundary conditions. J Sound Vib 1969; 10: 163–175.

Rao

. Frequency and loss factors of sandwich beams under various boundary conditions. Mech Eng Sci 1978; 20: 271–282.

Afshin

Sadighi

Shakeri

. Vibration and damping analysis of cylindrical sandwich panels containing a viscoelastic flexible core. J Sandw Struct Mater 2010; 13: 331–356.

Killian

Evertine

. Vibrations of three layered damped sandwich plate composites. J Sound Vib 1979; 64: 63–71.

Soni

Bogner

. Finite element vibration analysis of damped structures. AIAA J 1982; 20: 700–707.

Killian

. A finite element modeling approximation for damping material used in constrained damped structures. J Sound Vib 1984; 97: 352–354.

10.

Moreira

Rodrigues

. Constrained damping layer treatments: finite element modeling. J Vib Control 2004; 10: 575–595.

11.

Johnson

Keinholz

. Finite element prediction of damping in structures with constrained viscoelastic layers. AIAA J 1982; 20: 1284–1290.

12.

Barbosa

Farage

MCR

. A finite element model for sandwich viscoelastic beams: experimental and numerical assessment. J Sound Vib 2008; 317: 91–111.

13.

Grewal

Sedaghati

Esmailzadeh

. Vibration analysis and design optimization of sandwich beams with constrained viscoelastic core layer. J Sandw Struct Mater 2013; 15: 203–228.

14.

Barkanov

Skukis

Petitjean

. Characterisation of viscoelastic layers in sandwich panels via an inverse technique. J Sound Vib 2009; 327: 402–412.

15.

Moita

Martins

Soares

CMM

. A finite element model for the analysis of viscoelastic sandwich structures. Comput Struct 2011; 89: 1874–1881.

16.

Moita

Araújo

Mota

SCM

. Finite element model for damping optimization of viscoelastic sandwich structures. Adv Eng Softw 2013; 66: 34–39.

17.

Araújo

Soares

CMM

Soares

CAM

. Finite element model for hybrid active-passive damping analysis of anisotropic laminated sandwich structures. J Sandw Struct Mater 2010; 12: 398–419.

18.

Thai

Ferreira

AJM

Carrera

. Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory. Compos Struct 2013; 104: 196–214.

19.

Ferreira

AJM

Araújo

Neves

AMA

. A finite element model using a unified formulation for the analysis of viscoelastic sandwich laminates. Compos Part B Eng 2013; 45: 1258–1264.

20.

Park

Baz

. Comparison between finite element formulations of active constrained layer damping using classical and layer-wise laminate theory. Finite Elem Anal Des 2001; 37: 35–56.

21.

Huang

Qin

Chu

. Vibration and damping characteristics of sandwich plates with viscoelastic core. J Vib Control. Epub ahead of print 2015. DOI: 10.1177/1077546314545527.

22.

Khalfi

Ross

. Transient response of a plate with partial constrained viscoelastic layer damping. Int J Mech Sci 2013; 68: 304–312.

23.

Daya

Potier-Ferry

. A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures. Comput Struct 2001; 79: 533–541.

24.

Kumar

Sehgal

. Enhanced ACLD treatment using stand-off-layer: FEM based design and experimental vibration analysis. Appl Acoust 2001; 72: 856–872.