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Volumn 283, Issue 3-5, 2005, Pages 1235-1249

Application of Sherman-Morrison matrix inversion formula to damped vibration absorbers attached to multi-degree of freedom systems

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; DAMPING; DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 15944422575     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.07.019     Document Type: Article
Times cited : (42)

References (15)
  • 1
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    • Device for damping vibrations of bodies, U.S. Patent No. 989958
    • H. Frahm, Device for damping vibrations of bodies, U.S. Patent No. 989958, 1909.
    • (1909)
    • Frahm, H.1
  • 3
    • 0004106820 scopus 로고
    • McGraw-Hill, New York (reprint by Dover Publications)
    • J.P. Den Hartog, Mechanical Vibrations, McGraw-Hill, New York, 1934, pp. 87-106 (reprint by Dover Publications).
    • (1934) Mechanical Vibrations , pp. 87-106
    • Den Hartog, J.P.1
  • 5
    • 0019026917 scopus 로고
    • Auxilary mass throw in a tuned and damped vibration absorber
    • A.G. Thompson Auxilary mass throw in a tuned and damped vibration absorber Journal of Sound and Vibration 70 1980 481 486
    • (1980) Journal of Sound and Vibration , vol.70 , pp. 481-486
    • Thompson, A.G.1
  • 6
    • 0019875485 scopus 로고
    • Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system
    • A.G. Thompson Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system Journal of Sound and Vibration 77 1981 403 415
    • (1981) Journal of Sound and Vibration , vol.77 , pp. 403-415
    • Thompson, A.G.1
  • 7
    • 0036775405 scopus 로고    scopus 로고
    • Closed-form solutions to the exact optimizations of dynamic vibration absorbers (minimizations of the maximum amplitude magnification factors)
    • O. Nishihara, and T. Asami Closed-form solutions to the exact optimizations of dynamic vibration absorbers (minimizations of the maximum amplitude magnification factors) Journal of Vibration and Acoustics 124 2002 576 582
    • (2002) Journal of Vibration and Acoustics , vol.124 , pp. 576-582
    • Nishihara, O.1    Asami, T.2
  • 8
    • 0036554751 scopus 로고    scopus 로고
    • Analytical solutions to H-infinity and H-2 optimization of dynamic vibration absorbers attached to damped linear systems
    • T. Asami, O. Nishihara, and A.M. Baz Analytical solutions to H-infinity and H-2 optimization of dynamic vibration absorbers attached to damped linear systems Journal of Vibration and Acoustics 124 2002 284 295
    • (2002) Journal of Vibration and Acoustics , vol.124 , pp. 284-295
    • Asami, T.1    Nishihara, O.2    Baz, A.M.3
  • 9
    • 85037151695 scopus 로고
    • The extended theory of the viscous vibration damper
    • F.M. Lewis The extended theory of the viscous vibration damper Journal of Applied Mechanics 22 1955 377 382
    • (1955) Journal of Applied Mechanics , vol.22 , pp. 377-382
    • Lewis, F.M.1
  • 10
    • 84907179236 scopus 로고    scopus 로고
    • Extending Den Hartog's technique to multi degree of freedom systems
    • submitted for publication
    • M.B. Ozer, T.J. Royston, Extending Den Hartog's technique to multi degree of freedom systems, Journal of Vibration and Acoustics, submitted for publication.
    • Journal of Vibration and Acoustics
    • Ozer, M.B.1    Royston, T.J.2
  • 11
    • 0022661994 scopus 로고
    • The effect of a viscously damped dynamic absorber on a linear multi degree of freedom system
    • A.F. Vakakis, and S.A. Paipetis The effect of a viscously damped dynamic absorber on a linear multi degree of freedom system Journal of Sound and Vibration 105 1986 49 60
    • (1986) Journal of Sound and Vibration , vol.105 , pp. 49-60
    • Vakakis, A.F.1    Paipetis, S.A.2
  • 13
    • 0000905616 scopus 로고
    • Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix
    • J. Sherman, and W.J. Morrison Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix Annals of Mathematics and Statistics 20 1949 621
    • (1949) Annals of Mathematics and Statistics , vol.20 , pp. 621
    • Sherman, J.1    Morrison, W.J.2
  • 14
    • 0024682770 scopus 로고
    • Updating the inverse of a matrix
    • W.W. Hager Updating the inverse of a matrix SIAM Review 31 1989 221 239
    • (1989) SIAM Review , vol.31 , pp. 221-239
    • Hager, W.W.1
  • 15
    • 0030563726 scopus 로고    scopus 로고
    • New analysis method for general acoustic-structural coupled systems
    • K.L. Hong, and J. Kim New analysis method for general acoustic-structural coupled systems Journal of Sound and Vibration 192 1996 465 480
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    • Hong, K.L.1    Kim, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.