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Volumn 69, Issue 10, 2007, Pages 2173-2195

Finite element formulations for transient dynamic analysis in structural systems with viscoelastic treatments containing fractional derivative models

Author keywords

Damping treatments; Finite element method; Fractional derivatives; Numerical methods; Transient response; Viscoelastic models

Indexed keywords

APPROXIMATION THEORY; DAMPING; DYNAMIC ANALYSIS; FINITE ELEMENT METHOD; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; VISCOELASTICITY;

EID: 33847753419     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1840     Document Type: Article
Times cited : (45)

References (26)
  • 4
    • 0035850692 scopus 로고    scopus 로고
    • Analytical modeling of viscoelastic dampers for structural and vibration control
    • Park SW. Analytical modeling of viscoelastic dampers for structural and vibration control. International Journal of Solids and Structures 2001; 38:8065-8092.
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 8065-8092
    • Park, S.W.1
  • 5
    • 0001125435 scopus 로고
    • Dynamics of viscoelastic structures - A time domain finite element formulation
    • Golla DF, Hughes PC. Dynamics of viscoelastic structures - a time domain finite element formulation. Journal of Applied Mechanics 1985; 52:897-906.
    • (1985) Journal of Applied Mechanics , vol.52 , pp. 897-906
    • Golla, D.F.1    Hughes, P.C.2
  • 7
    • 0029389766 scopus 로고
    • Time domain modeling of linear viscoelasticity using Anelastic Displacement Fields
    • Lesieutre GA, Bianchini E. Time domain modeling of linear viscoelasticity using Anelastic Displacement Fields. Journal of Vibration and Acoustics 1995; 117:424-430.
    • (1995) Journal of Vibration and Acoustics , vol.117 , pp. 424-430
    • Lesieutre, G.A.1    Bianchini, E.2
  • 8
    • 8344263914 scopus 로고    scopus 로고
    • Direct time-domain integration method for exponentially damped linear systems
    • Adhikari S, Wagner N. Direct time-domain integration method for exponentially damped linear systems. Computers and Structures 2004; 82:2453-2461.
    • (2004) Computers and Structures , vol.82 , pp. 2453-2461
    • Adhikari, S.1    Wagner, N.2
  • 9
    • 33745454925 scopus 로고    scopus 로고
    • An approximate numerical method for the complex eigenproblem in systems characterised by a structural damping matrix
    • Cortés F, Elejabarrieta MJ. An approximate numerical method for the complex eigenproblem in systems characterised by a structural damping matrix. Journal of Sound and Vibration 296(1-2): 166-182.
    • Journal of Sound and Vibration , vol.296 , Issue.1-2 , pp. 166-182
    • Cortés, F.1    Elejabarrieta, M.J.2
  • 10
    • 34250103892 scopus 로고
    • Computational algorithms for FE formulations involving fractional operators
    • Padovan J. Computational algorithms for FE formulations involving fractional operators. Computational Mechanics 1987; 2:271-287.
    • (1987) Computational Mechanics , vol.2 , pp. 271-287
    • Padovan, J.1
  • 11
    • 0036650160 scopus 로고    scopus 로고
    • Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
    • Schmidt A, Gaul L. Finite element formulation of viscoelastic constitutive equations using fractional time derivatives. Nonlinear Dynamics 2002; 29:37-55.
    • (2002) Nonlinear Dynamics , vol.29 , pp. 37-55
    • Schmidt, A.1    Gaul, L.2
  • 17
    • 0022660581 scopus 로고
    • On the fractional calculus model of viscoelastic behaviour
    • Bagley RL, Torvik PJ. On the fractional calculus model of viscoelastic behaviour. Journal of Rheology 1986; 30:133-155.
    • (1986) Journal of Rheology , vol.30 , pp. 133-155
    • Bagley, R.L.1    Torvik, P.J.2
  • 18
    • 0030575463 scopus 로고    scopus 로고
    • Analysis of four-parameter fractional derivative model of real solid materials
    • Pritz T. Analysis of four-parameter fractional derivative model of real solid materials. Journal of Sound and Vibration 1996; 195(1):103-115.
    • (1996) Journal of Sound and Vibration , vol.195 , Issue.1 , pp. 103-115
    • Pritz, T.1
  • 19
    • 0011578507 scopus 로고    scopus 로고
    • Éditions de l'École Polytechnique: Palaiseau, France
    • Salençon J. Mécanique des Milieux Continus. Éditions de l'École Polytechnique: Palaiseau, France, 2001.
    • (2001) Mécanique Des Milieux Continus
    • Salençon, J.1
  • 23
    • 0003876175 scopus 로고    scopus 로고
    • The MathWorks Inc.: Natick, U.S.A
    • MATLAB Version 6. The MathWorks Inc.: Natick, U.S.A., 2001.
    • (2001) MATLAB Version 6
  • 24
    • 34249339074 scopus 로고    scopus 로고
    • Viscoelastic materials characterisation using the seismic response
    • in press
    • Cortés F, Elejabarrieta MJ. Viscoelastic materials characterisation using the seismic response. Materials and Design, in press.
    • Materials and Design
    • Cortés, F.1    Elejabarrieta, M.J.2
  • 25
    • 33847692973 scopus 로고    scopus 로고
    • Soundown Corporation
    • Soundown Corporation. http://www.soundown.com


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.