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Volumn 93, Issue 2, 2011, Pages 870-879

Large amplitude vibration analysis of composite beams: Simple closed-form solutions

Author keywords

Composite beam; Coupled displacement field; Nonlinear vibration; Quadratic and cubic nonlinearity; Rayleigh Ritz method

Indexed keywords

COMPOSITE BEAM; COUPLED DISPLACEMENT FIELD; NON-LINEAR VIBRATIONS; QUADRATIC AND CUBIC NONLINEARITY; RAYLEIGH-RITZ METHODS;

EID: 79951514141     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2010.07.006     Document Type: Article
Times cited : (60)

References (34)
  • 1
    • 0024607546 scopus 로고
    • Nonlinear vibrations of unsymmetrically laminated beams
    • Kapania R.K., Raciti S. Nonlinear vibrations of unsymmetrically laminated beams. AIAA J 1989, 27:201-210.
    • (1989) AIAA J , vol.27 , pp. 201-210
    • Kapania, R.K.1    Raciti, S.2
  • 2
    • 0026237581 scopus 로고
    • Analysis of the nonlinear vibrations of unsymmetrically laminated composite beams
    • Singh G., Venkateswara Rao G., Iyengar N.G.R. Analysis of the nonlinear vibrations of unsymmetrically laminated composite beams. AIAA J 1991, 29(10):1727-1735.
    • (1991) AIAA J , vol.29 , Issue.10 , pp. 1727-1735
    • Singh, G.1    Venkateswara Rao, G.2    Iyengar, N.G.R.3
  • 3
    • 0031638218 scopus 로고    scopus 로고
    • Application of spline element for large-amplitude free vibrations
    • Ganapathi M., Patel B.P., Saravanan J., Touratier M. Application of spline element for large-amplitude free vibrations. Composite Part B 1998, 29B:1-8.
    • (1998) Composite Part B , vol.29 , Issue.B , pp. 1-8
    • Ganapathi, M.1    Patel, B.P.2    Saravanan, J.3    Touratier, M.4
  • 4
    • 0033359548 scopus 로고    scopus 로고
    • Nonlinear free flexural vibrations/post-buckling analysis of laminated orthotropic beams/columns on a two parameter elastic foundation
    • Patel B.P., Ganapathi M., Touratier M. Nonlinear free flexural vibrations/post-buckling analysis of laminated orthotropic beams/columns on a two parameter elastic foundation. Compos Struct 1999, 46:189-196.
    • (1999) Compos Struct , vol.46 , pp. 189-196
    • Patel, B.P.1    Ganapathi, M.2    Touratier, M.3
  • 5
    • 50249096789 scopus 로고    scopus 로고
    • DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges
    • Malekzadeh P., Vosoughi A.R. DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges. Commun Nonlinear Sci Numer Simulat 2009, 14:906-915.
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 906-915
    • Malekzadeh, P.1    Vosoughi, A.R.2
  • 6
    • 78650713429 scopus 로고    scopus 로고
    • An analytical study on the nonlinear vibration of functionally graded beams
    • Ke L.L., Yang J., Kitipornchai S. An analytical study on the nonlinear vibration of functionally graded beams. Mechanica 2009, 2. 10.1007/S11012-009-9276-1.
    • (2009) Mechanica , vol.2
    • Ke, L.L.1    Yang, J.2    Kitipornchai, S.3
  • 7
    • 85067141799 scopus 로고    scopus 로고
    • Nonlinear forced vibrations of unsymmetrically laminated plates under cylindrical bending. In: AIAA 2007-2112, 48th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conferenece, Honolulu, Hawali; 23-26 April
    • Audrey P, Habib E, Yi Z. Nonlinear forced vibrations of unsymmetrically laminated plates under cylindrical bending. In: AIAA 2007-2112, 48th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conferenece, Honolulu, Hawali; 23-26 April 2007.
    • (2007)
    • Audrey, P.1    Habib, E.2    Yi, Z.3
  • 8
    • 77950669996 scopus 로고    scopus 로고
    • A new perturbation solution for systems with strong quadratic and cubic nonlinearities
    • Mustafa Mehmet, Fatih Karahan A new perturbation solution for systems with strong quadratic and cubic nonlinearities. Math Methods Appl Sci 2009, 33(6):704-712.
    • (2009) Math Methods Appl Sci , vol.33 , Issue.6 , pp. 704-712
    • Mustafa, M.1    Fatih, K.2
  • 9
    • 0000301924 scopus 로고
    • On methods for continuous systems with quadratic and cubic nonlinearities
    • Nayfeh A.H., Nayfeh J.F., Mook D.T. On methods for continuous systems with quadratic and cubic nonlinearities. Nonlinear Dynam 1992, 3(2):145-162.
    • (1992) Nonlinear Dynam , vol.3 , Issue.2 , pp. 145-162
    • Nayfeh, A.H.1    Nayfeh, J.F.2    Mook, D.T.3
  • 10
    • 68149171127 scopus 로고    scopus 로고
    • Relatively simple finite element formulation for the large amplitude free vibrations of uniform beams
    • Gupta R.K., Jagadish Babu Gunda, Ranga Janardhan G., Venkateswara Rao G. Relatively simple finite element formulation for the large amplitude free vibrations of uniform beams. Finite Elem Anal Des 2009, 45:624-631.
    • (2009) Finite Elem Anal Des , vol.45 , pp. 624-631
    • Gupta, R.K.1    Jagadish Babu, G.2    Ranga Janardhan, G.3    Venkateswara Rao, G.4
  • 11
    • 77949270755 scopus 로고    scopus 로고
    • Thermal post-buckling analysis of slender columns using the concept of coupled displacement field
    • Gupta R.K., Jagadish Babu Gunda, Ranga Janardhan G., Venkateswara Rao G. Thermal post-buckling analysis of slender columns using the concept of coupled displacement field. Int J Mech Sci 2010, 52(4):590-594.
    • (2010) Int J Mech Sci , vol.52 , Issue.4 , pp. 590-594
    • Gupta, R.K.1    Jagadish Babu, G.2    Ranga Janardhan, G.3    Venkateswara Rao, G.4
  • 12
    • 77950368647 scopus 로고    scopus 로고
    • Post-buckling analysis of composite beams: simple and accurate closed-form expressions
    • Gupta R.K., Jagadish Babu Gunda, Ranga Janardhan G., Venkateswara Rao G. Post-buckling analysis of composite beams: simple and accurate closed-form expressions. Compos Struct 2010, 92(8):1947-1956.
    • (2010) Compos Struct , vol.92 , Issue.8 , pp. 1947-1956
    • Gupta, R.K.1    Jagadish Babu, G.2    Ranga Janardhan, G.3    Venkateswara Rao, G.4
  • 13
    • 59649096468 scopus 로고    scopus 로고
    • Post-buckling and free vibrations of composite beams
    • Emam S.A., Nayfeh A.H. Post-buckling and free vibrations of composite beams. Compos Struct 2009, 88:636-642.
    • (2009) Compos Struct , vol.88 , pp. 636-642
    • Emam, S.A.1    Nayfeh, A.H.2
  • 14
    • 0000371807 scopus 로고
    • Nonlinear vibrations of simply supported rectangular cross-ply plates
    • Singh G., Raju K.K., Venkateswara Rao G. Nonlinear vibrations of simply supported rectangular cross-ply plates. J Sound Vib 1990, 142(2):213-226.
    • (1990) J Sound Vib , vol.142 , Issue.2 , pp. 213-226
    • Singh, G.1    Raju, K.K.2    Venkateswara Rao, G.3
  • 19
    • 67349159858 scopus 로고    scopus 로고
    • Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load
    • Simek M., Kocatrk T. Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load. Compos Struct 2009, 90(4):465-473.
    • (2009) Compos Struct , vol.90 , Issue.4 , pp. 465-473
    • Simek, M.1    Kocatrk, T.2
  • 20
    • 77952431081 scopus 로고    scopus 로고
    • A mixed Ritz-DQ method for forced vibration of functionally graded beams carrying moving loads
    • Khalili S.M.R., Jafari A.A., Eftekhari S.A. A mixed Ritz-DQ method for forced vibration of functionally graded beams carrying moving loads. Compos Struct 2010, 92(10):2497-2511.
    • (2010) Compos Struct , vol.92 , Issue.10 , pp. 2497-2511
    • Khalili, S.M.R.1    Jafari, A.A.2    Eftekhari, S.A.3
  • 21
    • 67349185064 scopus 로고    scopus 로고
    • A static and dynamic analysis of the postbuckling of geometrically imperfect composite beams
    • Emam S.A. A static and dynamic analysis of the postbuckling of geometrically imperfect composite beams. Compos Struct 2009, 90(2):247-253.
    • (2009) Compos Struct , vol.90 , Issue.2 , pp. 247-253
    • Emam, S.A.1
  • 22
    • 72149107577 scopus 로고    scopus 로고
    • Vibration analysis of a functionally graded beam under a moving mass by using different beam theories
    • Simek M. Vibration analysis of a functionally graded beam under a moving mass by using different beam theories. Compos Struct 2010, 92(4):904-917.
    • (2010) Compos Struct , vol.92 , Issue.4 , pp. 904-917
    • Simek, M.1
  • 23
    • 77950367499 scopus 로고    scopus 로고
    • An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions
    • Mahi A., Adda B.E.A., Tounsi A., Mechab I. An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions. Compos Struct 2010, 92(8):1877-1887.
    • (2010) Compos Struct , vol.92 , Issue.8 , pp. 1877-1887
    • Mahi, A.1    Adda, B.E.A.2    Tounsi, A.3    Mechab, I.4
  • 24
    • 59449094171 scopus 로고    scopus 로고
    • Free and forced vibrations of non-uniform composite beams
    • Faruk Firat Calim Free and forced vibrations of non-uniform composite beams. Compos Struct 2009, 88(3):413-423.
    • (2009) Compos Struct , vol.88 , Issue.3 , pp. 413-423
    • Faruk Firat, C.1
  • 25
    • 77952430750 scopus 로고    scopus 로고
    • Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load
    • Simsek M. Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load. Compos Struct 2010, 92(10):2532-2546.
    • (2010) Compos Struct , vol.92 , Issue.10 , pp. 2532-2546
    • Simsek, M.1
  • 26
    • 20444420496 scopus 로고    scopus 로고
    • Nonlinear vibration of laminated plates on a nonlinear elastic foundation
    • Chien R.D., Chen C.S. Nonlinear vibration of laminated plates on a nonlinear elastic foundation. Compos Struct 2005, 70(1):90-99.
    • (2005) Compos Struct , vol.70 , Issue.1 , pp. 90-99
    • Chien, R.D.1    Chen, C.S.2
  • 27
    • 35648951192 scopus 로고    scopus 로고
    • Nonlinear vibration of symmetrically laminated composite skew plates by finite element method
    • Singha M.K., Daripa R. Nonlinear vibration of symmetrically laminated composite skew plates by finite element method. Int J Non-Linear Mech 2007, 42(9):1144-1152.
    • (2007) Int J Non-Linear Mech , vol.42 , Issue.9 , pp. 1144-1152
    • Singha, M.K.1    Daripa, R.2
  • 28
    • 0026630833 scopus 로고
    • Non-linear forced vibrations of antisymmetric rectangular cross-ply plates
    • Gajbir Singh G., Venkateswara Rao G., Iyengar N.G.R. Non-linear forced vibrations of antisymmetric rectangular cross-ply plates. Compos Struct 1992, 20(3):185-194.
    • (1992) Compos Struct , vol.20 , Issue.3 , pp. 185-194
    • Gajbir Singh, G.1    Venkateswara Rao, G.2    Iyengar, N.G.R.3
  • 29
    • 67349277425 scopus 로고    scopus 로고
    • Free vibration analysis of simply supported composite laminated panels
    • Ganapathi M., Amit Kalyani, Bhaskar Mondal, Prakash T. Free vibration analysis of simply supported composite laminated panels. Compos Struct 2009, 90(1):100-103.
    • (2009) Compos Struct , vol.90 , Issue.1 , pp. 100-103
    • Ganapathi, M.1    Amit, K.2    Bhaskar, M.3    Prakash, T.4
  • 30
    • 77953356550 scopus 로고    scopus 로고
    • A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates
    • Shooshtari A., Razavi S. A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates. Compos Struct 2010, 92(11):2663-2675.
    • (2010) Compos Struct , vol.92 , Issue.11 , pp. 2663-2675
    • Shooshtari, A.1    Razavi, S.2
  • 31
    • 67349083559 scopus 로고    scopus 로고
    • Nonlinear vibration and dynamic response of FGM plates with piezoelectric fiber reinforced composite actuators
    • Xia X.K., Shen H.S. Nonlinear vibration and dynamic response of FGM plates with piezoelectric fiber reinforced composite actuators. Compos Struct 2009, 90(2):254-262.
    • (2009) Compos Struct , vol.90 , Issue.2 , pp. 254-262
    • Xia, X.K.1    Shen, H.S.2
  • 32
    • 63449104331 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations
    • Malekzadeh P. Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations. Compos Struct 2009, 89(3):367-373.
    • (2009) Compos Struct , vol.89 , Issue.3 , pp. 367-373
    • Malekzadeh, P.1
  • 33
    • 67349162082 scopus 로고    scopus 로고
    • Buckling and vibration of composite laminated plates with variable fiber spacing
    • Kuo S.Y., Shiau L.C. Buckling and vibration of composite laminated plates with variable fiber spacing. Compos Struct 2009, 90(2):196-200.
    • (2009) Compos Struct , vol.90 , Issue.2 , pp. 196-200
    • Kuo, S.Y.1    Shiau, L.C.2
  • 34
    • 57049147402 scopus 로고    scopus 로고
    • Recent developments in finite element analysis for laminated composite plates
    • Zhang Y.X., Yang C.H. Recent developments in finite element analysis for laminated composite plates. Compos Struct 2009, 88(1):147-157.
    • (2009) Compos Struct , vol.88 , Issue.1 , pp. 147-157
    • Zhang, Y.X.1    Yang, C.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.