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Volumn 35, Issue 10, 1997, Pages 1630-1637

Time-domain finite element analysis of viscoelastic structures with fractional derivatives constitutive relations

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRUCTURAL ANALYSIS; TIME DOMAIN ANALYSIS; VISCOELASTICITY;

EID: 0031259296     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.2     Document Type: Article
Times cited : (93)

References (20)
  • 1
    • 0003709624 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • Fung, Y. C., Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ, 1965, pp. 412-420.
    • (1965) Foundations of Solid Mechanics , pp. 412-420
    • Fung, Y.C.1
  • 2
    • 0025510540 scopus 로고
    • Finite Element Modeling of Frequency-Dependent Material Damping Using Augmenting Thermodynamic Fields
    • Lesieutre, G. A., and Mingori, D. L., "Finite Element Modeling of Frequency-Dependent Material Damping Using Augmenting Thermodynamic Fields," Journal of Guidance, Control, and Dynamics, Vol. 13, No. 6, 1990, pp. 1040-1050.
    • (1990) Journal of Guidance, Control, and Dynamics , vol.13 , Issue.6 , pp. 1040-1050
    • Lesieutre, G.A.1    Mingori, D.L.2
  • 3
    • 0029389766 scopus 로고
    • Time Domain Modeling of Linear Viscoelasticity Using Anelastic Displacement Fields
    • Lesieutre, G. A., and Bianchini, E., "Time Domain Modeling of Linear Viscoelasticity Using Anelastic Displacement Fields," Journal of Vibration and Acoustics, Vol. 117, No. 4, 1995, pp. 424-430.
    • (1995) Journal of Vibration and Acoustics , vol.117 , Issue.4 , pp. 424-430
    • Lesieutre, G.A.1    Bianchini, E.2
  • 4
    • 0001125435 scopus 로고
    • Dynamics of Viscoelastic Structures - A Time-Domain Finite Element Formulation
    • Golla, D. F, and Hughes, P. C., "Dynamics of Viscoelastic Structures - A Time-Domain Finite Element Formulation," Journal of Applied Mechanics, Vol. 52, No. 4, 1985, pp. 897-906.
    • (1985) Journal of Applied Mechanics , vol.52 , Issue.4 , pp. 897-906
    • Golla, D.F.1    Hughes, P.C.2
  • 5
    • 0023538393 scopus 로고
    • Finite Element Modeling of Linear Viscoelastic Structures
    • The Role of Damping in Vibrations and Noise Control, American Society of Mechanical Engineers, New York
    • McTavish, D. J., and Hughes, P. C., "Finite Element Modeling of Linear Viscoelastic Structures," The Role of Damping in Vibrations and Noise Control, Proceedings of 11 th ASME Biennial Cenf. on Mechanical Vibration and Noise, American Society of Mechanical Engineers, New York, 1987, pp. 9-17.
    • (1987) Proceedings of 11 Th ASME Biennial Cenf. on Mechanical Vibration and Noise , pp. 9-17
    • McTavish, D.J.1    Hughes, P.C.2
  • 7
    • 0020751558 scopus 로고
    • Fractional Calculus - A Different Approach to the Analysis of Viscoelastically Damped Structures
    • Bagley, R. L., and Torvik, P. J., "Fractional Calculus - A Different Approach to the Analysis of Viscoelastically Damped Structures," AIAA Journal, Vol. 21, No. 5, 1983, pp. 741-748.
    • (1983) AIAA Journal , vol.21 , Issue.5 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 8
    • 84981825145 scopus 로고    scopus 로고
    • Definition of Physically Consistent Damping Laws with Fractional Derivatives
    • Beyer, H., and Kempfle, S., "Definition of Physically Consistent Damping Laws with Fractional Derivatives," Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 75, No. 5, 1996, pp. 623-635.
    • (1996) Zeitschrift für Angewandte Mathematik und Mechanik , vol.75 , Issue.5 , pp. 623-635
    • Beyer, H.1    Kempfle, S.2
  • 10
    • 0022076968 scopus 로고
    • Fractional Calculus in the Transient Analysis of Viscoelastically Damped Structures
    • Bagley, R. L., and Torvik, P. J., "Fractional Calculus in the Transient Analysis of Viscoelastically Damped Structures," AIAA Journal, Vol. 23, No. 6, 1985, pp. 918-925.
    • (1985) AIAA Journal , vol.23 , Issue.6 , pp. 918-925
    • Bagley, R.L.1    Torvik, P.J.2
  • 11
    • 0026124343 scopus 로고
    • Fractional Order State Equations for the Control of Viscoelastically Damped Structures
    • Bagley, R. L., and Calico, R. A., "Fractional Order State Equations for the Control of Viscoelastically Damped Structures," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 3, 1991, pp. 304-311.
    • (1991) Journal of Guidance, Control, and Dynamics , vol.14 , Issue.3 , pp. 304-311
    • Bagley, R.L.1    Calico, R.A.2
  • 12
    • 0000824896 scopus 로고    scopus 로고
    • Modal Synthesis when Modeling Damping by Use of Fractional Derivatives
    • Fenander, Å., "Modal Synthesis when Modeling Damping by Use of Fractional Derivatives," AIAA Journal, Vol. 34, No. 5, 1996, pp. 1051-1058.
    • (1996) AIAA Journal , vol.34 , Issue.5 , pp. 1051-1058
    • Fenander, Å.1
  • 13
    • 34250103892 scopus 로고
    • Computational Algorithms for FE Formulations Involving Fractional Operators
    • Padovan, J., "Computational Algorithms for FE Formulations Involving Fractional Operators," Computational Mechanics, Vol. 2, No. 4, 1987, pp. 271-287.
    • (1987) Computational Mechanics , vol.2 , Issue.4 , pp. 271-287
    • Padovan, J.1
  • 15
    • 0001735487 scopus 로고
    • Bateman Manuscript Project, California Inst. of Technology, McGraw-Hill, New York
    • Bateman, H., Higher Transcendental Functions Vol. 3, Bateman Manuscript Project, California Inst. of Technology, McGraw-Hill, New York, 1955, pp. 206-211.
    • (1955) Higher Transcendental Functions Vol. 3 , vol.3 , pp. 206-211
    • Bateman, H.1
  • 17
    • 0021440218 scopus 로고
    • Applications of Fractional Calculus to the Theory of Viscoelasticity
    • Koeller, R. C., "Applications of Fractional Calculus to the Theory of Viscoelasticity," Journal of Applied Mechanics, Vol. 51, No. 2, 1984, pp. 299-307.
    • (1984) Journal of Applied Mechanics , vol.51 , Issue.2 , pp. 299-307
    • Koeller, R.C.1
  • 18
    • 0022660581 scopus 로고
    • On the Fractional Calculus Model of Viscoelastic Behavior
    • Bagley, R. L., and Torvik, P. J., "On the Fractional Calculus Model of Viscoelastic Behavior," Journal of Rheology, Vol. 30, No. 1, 1986, pp. 133-155.
    • (1986) Journal of Rheology , vol.30 , Issue.1 , pp. 133-155
    • Bagley, R.L.1    Torvik, P.J.2
  • 20
    • 85081462317 scopus 로고    scopus 로고
    • Hibbit, Karlsson, and Sorensen, Inc., Providence, RI
    • ABAQUS/Explicit Version 5.6, User's Manual, Hibbit, Karlsson, and Sorensen, Inc., Providence, RI, 1996.
    • (1996) ABAQUS/Explicit Version 5.6, User's Manual


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.