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Volumn 199, Issue 5, 1997, Pages 737-750

On the period of large amplitude free vibration of conservative autonomous oscillators with static and inertia type cubic non-linearities

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EQUATIONS OF MOTION; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; OSCILLATORS (MECHANICAL);

EID: 0031555686     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0673     Document Type: Article
Times cited : (13)

References (27)
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    • (1983) Journal of Sound and Vibration , vol.87 , pp. 543-554
    • Burton, T.D.1    Hamdan, M.N.2
  • 12
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    • On the large amplitude free vibrations of a restrained uniform beam carrying an intermediate lumped mass
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  • 14
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    • The nonlinear response of a slender beam earring a lumped mass to a principle parametric excitation: Theory and experiment
    • L. D. ZAVODNEY and A. H. NAYFEH 1989 International Journal of Nonlinear Mechanics 24, 105-125. The nonlinear response of a slender beam earring a lumped mass to a principle parametric excitation: theory and experiment.
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    • Zavodney, L.D.1    Nayfeh, A.H.2
  • 16
    • 0024736829 scopus 로고
    • On the higher order methods of multiple scales in non-linear oscillators-periodic steady state response
    • Z. RAHMAN AND T. D. BURTON 1989 Journal of Sound and Vibration 133, 369-379. On the higher order methods of multiple scales in non-linear oscillators-periodic steady state response.
    • (1989) Journal of Sound and Vibration , vol.133 , pp. 369-379
    • Rahman, Z.1    Burton, T.D.2
  • 17
    • 0027658787 scopus 로고
    • On the steady state response and stability of non-linear oscillators using harmonic balance
    • M. N. HAMDAN and T. D. BURTON 1993 Journal of Sound and Vibration 166, 255-266. On the steady state response and stability of non-linear oscillators using harmonic balance.
    • (1993) Journal of Sound and Vibration , vol.166 , pp. 255-266
    • Hamdan, M.N.1    Burton, T.D.2
  • 18
    • 0028549241 scopus 로고
    • Use of transformations with the higher order method of multiple scales to determine the steady state periodic response of harmonically excited non-linear oscillators, part I: Transformation of derivatives
    • A. HASSAN 1994 Journal of Sound and Vibration 178, 1-19. Use of transformations with the higher order method of multiple scales to determine the steady state periodic response of harmonically excited non-linear oscillators, part I: transformation of derivatives.
    • (1994) Journal of Sound and Vibration , vol.178 , pp. 1-19
    • Hassan, A.1
  • 19
    • 0028550059 scopus 로고
    • Use of transformations with the higher order method of multiple scales to determine the steady state periodic response of harmonically excited non-linear oscillators, part II: Transformation of detuning
    • A. HASSAN 1994 Journal of Sound and Vibration 178, 21-40. Use of transformations with the higher order method of multiple scales to determine the steady state periodic response of harmonically excited non-linear oscillators, part II: transformation of detuning.
    • (1994) Journal of Sound and Vibration , vol.178 , pp. 21-40
    • Hassan, A.1
  • 20
    • 0039546437 scopus 로고
    • Extraneous solutions predicted by the harmonic balance method
    • A. HASSAN and T. D. BURTON 1995 Journal of Sound and Vibration 182, 523-538. Extraneous solutions predicted by the harmonic balance method.
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    • Hassan, A.1    Burton, T.D.2
  • 21
    • 0021292267 scopus 로고
    • A perturbation method for certain nonlinear oscillators
    • T. D. BURTON 1984 International Journal of Nonlinear Mechanics 19, 397-407. A perturbation method for certain nonlinear oscillators.
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    • Burton, T.D.1
  • 22
    • 30244491586 scopus 로고
    • A weighted mean square method of linearization of non-linear oscillators
    • S. C. SINHA and P. SRINIVASAN 1971 Journal of Sound and Vibration 16, 139-148. A weighted mean square method of linearization of non-linear oscillators.
    • (1971) Journal of Sound and Vibration , vol.16 , pp. 139-148
    • Sinha, S.C.1    Srinivasan, P.2
  • 23
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    • An approximate analysis of non-linear, non-conservative systems using orthogonal polynomials
    • G. L. ANDERSON 1973 Journal of Sound and Vibration 29, 463-474. An approximate analysis of non-linear, non-conservative systems using orthogonal polynomials.
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    • Anderson, G.L.1
  • 24
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    • On a nonlinear perturbation theory without secular terms
    • R. H. G. HELLEMAN and E. W. MONTROLL 1974 Physica 74, 22-74. On a nonlinear perturbation theory without secular terms.
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  • 25
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    • (1976) Journal of Mathematical Physics , vol.17 , pp. 121-140
    • Eminhizer, C.R.1    Helleman, R.H.G.2    Montroll, E.W.3
  • 26
    • 0016535646 scopus 로고
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    • (1975) SIAM Journal of Applied Mathematics , vol.29 , pp. 1-11
    • Einaudi, F.1
  • 27
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    • Jones, S.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.