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Volumn 33, Issue 1, 2006, Pages 99-107

On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems

Author keywords

Damping; Fractional derivatives; Internal variable; Time integration; Viscoelasticity

Indexed keywords

ASYMPTOTIC STABILITY; DAMPING; DYNAMIC MECHANICAL ANALYSIS; EQUATIONS OF MOTION; INTEGRATION; MATHEMATICAL MODELS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; VISCOELASTICITY;

EID: 26444463136     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2005.02.018     Document Type: Article
Times cited : (77)

References (8)
  • 1
    • 0020751558 scopus 로고
    • Fractional calculus - A different approach to the analysis of viscoelastically damped structures
    • R.L. Bagley, and P.J. Torvik Fractional calculus - a different approach to the analysis of viscoelastically damped structures AIAA Journal 21 5 1983 741 748
    • (1983) AIAA Journal , vol.21 , Issue.5 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 2
    • 0022076968 scopus 로고
    • Fractional calculus in the transient analysis of viscoelastically damped structures
    • R.L. Bagley, and P.J. Torvik Fractional calculus in the transient analysis of viscoelastically damped structures AIAA Journal 23 6 1985 918 925
    • (1985) AIAA Journal , vol.23 , Issue.6 , pp. 918-925
    • Bagley, R.L.1    Torvik, P.J.2
  • 3
    • 84981825145 scopus 로고
    • Definition of physically consistent damping laws with fractional derivatives
    • H. Beyer, and S. Kempfle Definition of physically consistent damping laws with fractional derivatives ZAMM 75 8 1995 623 635
    • (1995) ZAMM , vol.75 , Issue.8 , pp. 623-635
    • Beyer, H.1    Kempfle, S.2
  • 4
    • 51649182765 scopus 로고
    • Linear models of dissipation in anelastic solids
    • M. Caputo, and F. Mainardi Linear models of dissipation in anelastic solids Rivista del Nuovo Cimento 1 2 1971 161 198
    • (1971) Rivista Del Nuovo Cimento , vol.1 , Issue.2 , pp. 161-198
    • Caputo, M.1    Mainardi, F.2
  • 5
    • 0012103909 scopus 로고
    • Transient and forced oscillations of systems with constant hysteretic damping
    • L. Gaul, S. Bohlen, and S. Kempfle Transient and forced oscillations of systems with constant hysteretic damping Mechanics Research Communications 12 4 1985 187 201
    • (1985) Mechanics Research Communications , vol.12 , Issue.4 , pp. 187-201
    • Gaul, L.1    Bohlen, S.2    Kempfle, S.3
  • 7
    • 0036650160 scopus 로고    scopus 로고
    • Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
    • A. Schmidt, and L. Gaul Finite element formulation of viscoelastic constitutive equations using fractional time derivatives Journal of Nonlinear Dynamics 29 2002 37 55
    • (2002) Journal of Nonlinear Dynamics , vol.29 , pp. 37-55
    • Schmidt, A.1    Gaul, L.2
  • 8
    • 0036554885 scopus 로고    scopus 로고
    • A numerical scheme for dynamic systems containing fractional derivatives
    • L. Yuan, and O.P. Agrawal A numerical scheme for dynamic systems containing fractional derivatives Journal of Vibration and Acoustics 124 2002 321 324
    • (2002) Journal of Vibration and Acoustics , vol.124 , pp. 321-324
    • Yuan, L.1    Agrawal, O.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.