메뉴 건너뛰기




Volumn 14, Issue 6, 2007, Pages 407-416

Higher-order nonlinear vibration analysis of Timoshenko beams by the spline-based differential quadrature method

Author keywords

Nonlinear vibration; Spline based differential quadrature; Timoshenko beam

Indexed keywords

DEFORMATION; DIFFERENTIAL EQUATIONS; GYRATORS; VIBRATION ANALYSIS;

EID: 36049012365     PISSN: 10709622     EISSN: None     Source Type: Journal    
DOI: 10.1155/2007/146801     Document Type: Article
Times cited : (6)

References (28)
  • 2
    • 0003494026 scopus 로고
    • Nonlinear analysis of beams Part I: A survey of recent advances
    • M. Sathyamoorthy, Nonlinear analysis of beams Part I: a survey of recent advances, Shock and Vibration Digest 14 (1982), 19-35.
    • (1982) Shock and Vibration Digest , vol.14 , pp. 19-35
    • Sathyamoorthy, M.1
  • 3
    • 0003577380 scopus 로고
    • Nonlinear analysis of beams Part II: Finite element methods
    • M. Sathyamoorthy, Nonlinear analysis of beams Part II: finite element methods, Shock and Vibration Digest 14 (1982), 7-18.
    • (1982) Shock and Vibration Digest , vol.14 , pp. 7-18
    • Sathyamoorthy, M.1
  • 4
    • 0022445222 scopus 로고
    • Discussion of finite element formulations of nonlinear beam vibrations
    • C. Mei, Discussion of finite element formulations of nonlinear beam vibrations, Computers and Structures 22 (1986), 83-85.
    • (1986) Computers and Structures , vol.22 , pp. 83-85
    • Mei, C.1
  • 5
    • 38249018135 scopus 로고
    • Large-amplitude free vibrations of beams - a discussion on various formulations and assumptions
    • G. Singh, A.K. Sharma and G. V. Rao, Large-amplitude free vibrations of beams - a discussion on various formulations and assumptions, Journal of Sound and Vibration 142 (1990), 77-85.
    • (1990) Journal of Sound and Vibration , vol.142 , pp. 77-85
    • Singh, G.1    Sharma, A.K.2    Rao, G.V.3
  • 6
    • 0043071386 scopus 로고
    • Application of the quadrature method to flexura! vibration analysis of a geometrically nonlinear beam
    • Y. Feng and C.W. Bert, Application of the quadrature method to flexura! vibration analysis of a geometrically nonlinear beam, Nonlinear Dynamics 3 (1992), 13-18.
    • (1992) Nonlinear Dynamics , vol.3 , pp. 13-18
    • Feng, Y.1    Bert, C.W.2
  • 7
    • 0042576532 scopus 로고    scopus 로고
    • On the DQ analysis of geometrically non-linear vibration of immovably simply-supported beams
    • W. Chen, T. Zhong and S. Liang, On the DQ analysis of geometrically non-linear vibration of immovably simply-supported beams, Journal of Sound and Vibration 206 (1997), 745-748.
    • (1997) Journal of Sound and Vibration , vol.206 , pp. 745-748
    • Chen, W.1    Zhong, T.2    Liang, S.3
  • 9
    • 0346991434 scopus 로고    scopus 로고
    • Nonlinear vibration analysis of beams by a spline-based differential, quadrature method
    • Q. Guo and H. Zhong, Nonlinear vibration analysis of beams by a spline-based differential, quadrature method, Journal of Sound and Vibration 269 (2004), 413-420.
    • (2004) Journal of Sound and Vibration , vol.269 , pp. 413-420
    • Guo, Q.1    Zhong, H.2
  • 10
    • 0016950345 scopus 로고
    • Nonlinear vibrations of beams considering shear deformation and rotary inertia
    • G.V. Rao, I.S. Raju and K.K. Raju, Nonlinear vibrations of beams considering shear deformation and rotary inertia, AIAA Journal 14 (1976), 685-687.
    • (1976) AIAA Journal , vol.14 , pp. 685-687
    • Rao, G.V.1    Raju, I.S.2    Raju, K.K.3
  • 11
    • 0021896651 scopus 로고
    • Ritz finite element approach, to nonlinear vibrations of a Timoshenko beam
    • B.S. Sarma and T.K. Varadan, Ritz finite element approach, to nonlinear vibrations of a Timoshenko beam, Communications in Applied Numerical Methods 1 (1985), 23-32.
    • (1985) Communications in Applied Numerical Methods , vol.1 , pp. 23-32
    • Sarma, B.S.1    Varadan, T.K.2
  • 12
    • 0030397833 scopus 로고    scopus 로고
    • Nonlinear free vibration analysis of Timoshenko beams using the finite element method
    • Y.H. Lin and Y.K. Tsai, Nonlinear free vibration analysis of Timoshenko beams using the finite element method, Journal of the Chinese Society of Mechanical Engineers 17 (1996), 609-615.
    • (1996) Journal of the Chinese Society of Mechanical Engineers , vol.17 , pp. 609-615
    • Lin, Y.H.1    Tsai, Y.K.2
  • 13
    • 0032668472 scopus 로고    scopus 로고
    • Influence of shear deformation and rotary inertia on nonlinear free vibration of a beam with, pinned ends
    • M.A. Foda, Influence of shear deformation and rotary inertia on nonlinear free vibration of a beam with, pinned ends, Computers and Structures 71 (1999), 663-670.
    • (1999) Computers and Structures , vol.71 , pp. 663-670
    • Foda, M.A.1
  • 14
    • 0041344361 scopus 로고    scopus 로고
    • Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method
    • H. Zhong and Q. Guo, Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method, Nonlinear Dynamics 32 (2003), 223-234.
    • (2003) Nonlinear Dynamics , vol.32 , pp. 223-234
    • Zhong, H.1    Guo, Q.2
  • 15
    • 0026419989 scopus 로고
    • The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures Part I: Simply supported and clamped-clamped beams
    • R. Benamar, M.M.K. Bennouna and R.G. White, The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures Part I: simply supported and clamped-clamped beams, Journal of Sound and Vibration. 149 (1991), 179-195.
    • (1991) Journal of Sound and Vibration , vol.149 , pp. 179-195
    • Benamar, R.1    Bennouna, M.M.K.2    White, R.G.3
  • 16
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational, mechanics: A review
    • C.W. Bert and M. Malik, Differential quadrature method in computational, mechanics: a review, Applied Mechanics Reviews 49 (1996), 1-27.
    • (1996) Applied Mechanics Reviews , vol.49 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 18
    • 1142293059 scopus 로고    scopus 로고
    • Spline-based differential quadrature for fourth order differential equations and its application, to Kirchhoff. plates
    • H. Zhong, Spline-based differential quadrature for fourth order differential equations and its application, to Kirchhoff. plates, Applied Mathematical Modeling 28 (2004), 353-366.
    • (2004) Applied Mathematical Modeling , vol.28 , pp. 353-366
    • Zhong, H.1
  • 19
    • 1942474335 scopus 로고    scopus 로고
    • Vibration analysis of rectangular plates with, free corners using spline-based differential quadrature method
    • H. Zhong and Q. Guo, Vibration analysis of rectangular plates with, free corners using spline-based differential quadrature method, Shock and Vibration 11 (2004), 119-128.
    • (2004) Shock and Vibration , vol.11 , pp. 119-128
    • Zhong, H.1    Guo, Q.2
  • 20
    • 33745978054 scopus 로고    scopus 로고
    • Solution of nonlinear initial-value problems by the spline-based differential quadrature method
    • H. Zhong and M. Lan, Solution of nonlinear initial-value problems by the spline-based differential quadrature method, Journal of Sound and Vibration 296 (2006), 908-918.
    • (2006) Journal of Sound and Vibration , vol.296 , pp. 908-918
    • Zhong, H.1    Lan, M.2
  • 21
    • 0346991434 scopus 로고    scopus 로고
    • Non-linear vibration analysis of beams by a spline-based differential quadrature method
    • Q. Guo and H. Zhong, Non-linear vibration analysis of beams by a spline-based differential quadrature method, Journal of Sound and Vibration 269 (2004), 413-420.
    • (2004) Journal of Sound and Vibration , vol.269 , pp. 413-420
    • Guo, Q.1    Zhong, H.2
  • 23
    • 85007688945 scopus 로고
    • Nonlinear vibrations of beams with various boundary conditions
    • D.A. Evensen, Nonlinear vibrations of beams with various boundary conditions, AIAA Journal 6 (1968), 370-372.
    • (1968) AIAA Journal , vol.6 , pp. 370-372
    • Evensen, D.A.1
  • 24
    • 0018005153 scopus 로고
    • Large amplitude vibration of hinged beams
    • G. Prathap and T.K. Varadan, Large amplitude vibration of hinged beams, Computers and Structures 9 (1978), 219-222.
    • (1978) Computers and Structures , vol.9 , pp. 219-222
    • Prathap, G.1    Varadan, T.K.2
  • 25
    • 0019064775 scopus 로고
    • Galerkin finite element method for non-linear beam, vibrations
    • G.R. Bhashyam and G. Prathap, Galerkin finite element method for non-linear beam, vibrations, Journal of Sound and Vibration 72 (1980), 191-203.
    • (1980) Journal of Sound and Vibration , vol.72 , pp. 191-203
    • Bhashyam, G.R.1    Prathap, G.2
  • 26
    • 3042709768 scopus 로고    scopus 로고
    • Nonlinear vibrations of Timoshenko beams with various boundary conditions
    • Q. Guo, X. Liu and H. Zhong, Nonlinear vibrations of Timoshenko beams with various boundary conditions, Tsinghua Science and Technology 9 (2004), 125-129.
    • (2004) Tsinghua Science and Technology , vol.9 , pp. 125-129
    • Guo, Q.1    Liu, X.2    Zhong, H.3
  • 27
    • 0021097280 scopus 로고
    • Lagrange-type formulation for finite element analysis of non-linear beam, vibrations
    • B.S. Sarma and T.K. Varadan, Lagrange-type formulation for finite element analysis of non-linear beam, vibrations, Journal of Sound and Vibration 86 (1983), 61-70.
    • (1983) Journal of Sound and Vibration , vol.86 , pp. 61-70
    • Sarma, B.S.1    Varadan, T.K.2
  • 28
    • 0024031824 scopus 로고
    • Some erroneous finite element formulations of nonlinear vibrations of beams and plates
    • P.C. Dumir and A. Bhaskar, Some erroneous finite element formulations of nonlinear vibrations of beams and plates, Journal of Sound and Vibration 123 (1988), 517-527.
    • (1988) Journal of Sound and Vibration , vol.123 , pp. 517-527
    • Dumir, P.C.1    Bhaskar, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.