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Volumn 14, Issue 2, 1991, Pages 304-311

Fractional order state equations for the control of viscoelasticallydamped structures

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS - DESIGN; MATHEMATICAL TECHNIQUES - APPLICATIONS;

EID: 0026124343     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.20641     Document Type: Article
Times cited : (715)

References (21)
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    • Bagley, R.L.1    Torvik, P.J.2
  • 3
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    • Ph.D. Dissertation, Air Force Inst, of Technology, Wright-Patterson AFB, OH, 1979; also Air Force Materials Lab., AFML TR-79-4103
    • Bagley, R. L., “Applications of Generalized Derivatives to Viscoelasticity,” Ph.D. Dissertation, Air Force Inst, of Technology, Wright-Patterson AFB, OH, 1979; also Air Force Materials Lab., AFML TR-79-4103, 1979.
    • (1979) Applications of Generalized Derivatives to Viscoelasticity
    • Bagley, R.L.1
  • 4
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    • 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,” AI A A Journal, Vol. 21, No. 5, 1983, pp. 741-748.
    • (1983) AI a A Journal , vol.21 , Issue.5 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 5
    • 0020765202 scopus 로고
    • A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
    • Bagley, R. L., and Torvik, P. J., “A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity,” Journal of Rheology, Vol. 27, No. 3, 1983, pp. 201-210.
    • (1983) Journal of Rheology , vol.27 , Issue.3 , pp. 201-210
    • Bagley, R.L.1    Torvik, P.J.2
  • 6
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    • 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
  • 7
    • 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
  • 8
    • 0017002154 scopus 로고
    • Vibrations of an Infinite Plate with a Frequency Independent Q
    • Caputo, M., “Vibrations of an Infinite Plate with a Frequency Independent Q,” Journal of the Acoustical Society of America, Vol. 60, 1976, pp. 634-637.
    • (1976) Journal of the Acoustical Society of America , vol.60 , pp. 634-637
    • Caputo, M.1
  • 10
    • 0343892052 scopus 로고
    • Linear Models of Dissipation Whose Q is Almost Frequency Independent
    • Caputo, M., “Linear Models of Dissipation Whose Q is Almost Frequency Independent,” Anales de la Geofisica, Vol. 19, No. 4, 1986, pp. 383-393.
    • (1986) Anales De La Geofisica , vol.19 , Issue.4 , pp. 383-393
    • Caputo, M.1
  • 11
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    • Application of Fractional Calculus to the Theory of Viscoelasticity
    • Koeller, R. C., “Application of Fractional Calculus to the Theory of Viscoelasticity,” Journal of Applied Mechanics, Vol. 51, 1984, pp. 299-307.
    • (1984) Journal of Applied Mechanics , vol.51 , pp. 299-307
    • Koeller, R.C.1
  • 12
    • 0022700808 scopus 로고
    • Polynomial Operators, Stieltjes Convolution and Fractional Calculus in Hereditary Mechanics
    • Koeller, R. C, “Polynomial Operators, Stieltjes Convolution and Fractional Calculus in Hereditary Mechanics,” Acta Mechanica, Vol. 58, 1986, pp. 251-264.
    • (1986) Acta Mechanica , vol.58 , pp. 251-264
    • Koeller, R.C.1
  • 13
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    • Sur la representation analytique dune branch uniforme d’une function monagine
    • Mittag-Leffier, G, “Sur la representation analytique d’une branch uniforme d’une function monagine,” Acta Mathematica, Vol. 29, 1905, pp. 101-168.
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    • Mittag-Leffier, G.1
  • 15
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    • On the Appearance of the Fractional Derivative in the Behavior of Real Materials
    • June
    • Torvik, P. J., and Bagley, R. L., “On the Appearance of the Fractional Derivative in the Behavior of Real Materials,” Journal of Applied Mechanics, Vol. 51, June 1984, pp. 294-298.
    • (1984) Journal of Applied Mechanics , vol.51 , pp. 294-298
    • Torvik, P.J.1    Bagley, R.L.2
  • 17
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    • A Brief History and Exposition of the Fundamental Theory of Fractional Calculus
    • Springer-Verlag, Berlin
    • Ross, B., “A Brief History and Exposition of the Fundamental Theory of Fractional Calculus,” Fractional Calculus and Its Applications, Lecture Notes in Mathematics, Vol. 457, Springer-Verlag, Berlin, 1975, pp. 1-36.
    • (1975) Fractional Calculus and Its Applications, Lecture Notes in Mathematics , vol.457 , pp. 1-36
    • Ross, B.1
  • 21
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.