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Volumn 79, Issue 1, 2001, Pages 107-117

Second harmonic and the validity of Duffing's equation for vibration of beams with large displacements

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; EQUATIONS OF MOTION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; SECOND HARMONIC GENERATION; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

EID: 0035217348     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(00)00060-2     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0021758053 scopus 로고
    • The effects of large vibration amplitudes on the fundamental mode shape of a clamped-clamped uniform beam
    • Bennouna M.M., White R.G. The effects of large vibration amplitudes on the fundamental mode shape of a clamped-clamped uniform beam. J Sound Vibr. 96(3):1984;309-331.
    • (1984) J Sound Vibr , vol.96 , Issue.3 , pp. 309-331
    • Bennouna, M.M.1    White, R.G.2
  • 2
    • 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
    • Benamar R., Bennouna M.M., White R.G. 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. J Sound Vibr. 149(2):1991;179-195.
    • (1991) J Sound Vibr , vol.149 , Issue.2 , pp. 179-195
    • Benamar, R.1    Bennouna, M.M.2    White, R.G.3
  • 3
    • 0000334285 scopus 로고    scopus 로고
    • Non-linear vibration of beams with internal resonance by the hierarchical finite element method
    • Ribeiro P., Petyt M. Non-linear vibration of beams with internal resonance by the hierarchical finite element method. J Sound Vibr. 224(4):1999;591-624.
    • (1999) J Sound Vibr , vol.224 , Issue.4 , pp. 591-624
    • Ribeiro, P.1    Petyt, M.2
  • 4
    • 0022421533 scopus 로고
    • A finite element method for non-linear forced vibrations of beams
    • Mei C., Decha-Umphai K. A finite element method for non-linear forced vibrations of beams. J Sound Vibr. 102(3):1985;369-380.
    • (1985) J Sound Vibr , vol.102 , Issue.3 , pp. 369-380
    • Mei, C.1    Decha-Umphai, K.2
  • 5
    • 0021375194 scopus 로고
    • Ritz finite element approach to non-linear vibrations of beams
    • Sarma B.S., Varadan T.K. Ritz finite element approach to non-linear vibrations of beams. Int J Num Meth Engng. 20:1984;353-367.
    • (1984) Int J Num Meth Engng , vol.20 , pp. 353-367
    • Sarma, B.S.1    Varadan, T.K.2
  • 6
    • 0028400437 scopus 로고
    • Non-linear free vibrations of beams by the finite element and continuation methods
    • Lewandowski R. Non-linear free vibrations of beams by the finite element and continuation methods. J Sound Vibr. 170(5):1994;577-593.
    • (1994) J Sound Vibr , vol.170 , Issue.5 , pp. 577-593
    • Lewandowski, R.1
  • 7
    • 0031142628 scopus 로고    scopus 로고
    • Computational formulation for periodic vibration of geometrically non-linear structures, Part 1: Theoretical background
    • Lewandowski R. Computational formulation for periodic vibration of geometrically non-linear structures, Part 1: theoretical background. Int J Solids Struct 1997;34(15):1925-47.
    • (1997) Int J Solids Struct , vol.34 , Issue.15 , pp. 1925-1947
    • Lewandowski, R.1
  • 8
    • 0031139750 scopus 로고    scopus 로고
    • Computational formulation for periodic vibration of geometrically nonlinear structures, Part 2: Numerical strategy and examples
    • Lewandowski R. Computational formulation for periodic vibration of geometrically nonlinear structures, Part 2: numerical strategy and examples. Int J Solids Struct 1997;34(15):1949-64.
    • (1997) Int J Solids Struct , vol.34 , Issue.15 , pp. 1949-1964
    • Lewandowski, R.1
  • 9
    • 0030572268 scopus 로고    scopus 로고
    • A finite element time domain modal formulation for large amplitude free vibration of beams and plates
    • Shi Y., Mei C. A finite element time domain modal formulation for large amplitude free vibration of beams and plates. J Sound Vibr. 193(2):1996;453-464.
    • (1996) J Sound Vibr , vol.193 , Issue.2 , pp. 453-464
    • Shi, Y.1    Mei, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.