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1
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0020734841
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Analysis of non-linear autonomous conservative oscillators by a time transformation method
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T. D. BURTON and M. N. HAMDAN 1983 Journal of Sound and Vibration 87, 543-554. Analysis of non-linear autonomous conservative oscillators by a time transformation method.
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(1983)
Journal of Sound and Vibration
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Burton, T.D.1
Hamdan, M.N.2
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12
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0031555687
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On the large amplitude free vibrations of a restrained uniform beam carrying an intermediate lumped mass
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M. N. HAMDAN and N. H. SHABANEH 1997 Journal of Sound and Vibration 199, 711-736. On the large amplitude free vibrations of a restrained uniform beam carrying an intermediate lumped mass.
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(1997)
Journal of Sound and Vibration
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Hamdan, M.N.1
Shabaneh, N.H.2
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13
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0342799101
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Nonlinear resonances and chaotic motion in a flexible parametrically excited beam
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T. D. BURTON and KOLOWITH 1988 Proceedings of the Second Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures and Mechanics, Blacksburg, VA, 1-5. Nonlinear resonances and chaotic motion in a flexible parametrically excited beam.
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(1988)
Proceedings of the Second Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures and Mechanics, Blacksburg, VA
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Burton, T.D.1
Kolowith2
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14
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0024865382
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The nonlinear response of a slender beam earring a lumped mass to a principle parametric excitation: Theory and experiment
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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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(1989)
International Journal of Nonlinear Mechanics
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Zavodney, L.D.1
Nayfeh, A.H.2
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16
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0024736829
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On the higher order methods of multiple scales in non-linear oscillators-periodic steady state response
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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.
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(1989)
Journal of Sound and Vibration
, vol.133
, pp. 369-379
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Rahman, Z.1
Burton, T.D.2
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17
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0027658787
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On the steady state response and stability of non-linear oscillators using harmonic balance
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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.
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(1993)
Journal of Sound and Vibration
, vol.166
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Hamdan, M.N.1
Burton, T.D.2
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18
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0028549241
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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
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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.
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(1994)
Journal of Sound and Vibration
, vol.178
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Hassan, A.1
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19
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0028550059
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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
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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.
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(1994)
Journal of Sound and Vibration
, vol.178
, pp. 21-40
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Hassan, A.1
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20
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0039546437
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Extraneous solutions predicted by the harmonic balance method
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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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(1995)
Journal of Sound and Vibration
, vol.182
, pp. 523-538
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Hassan, A.1
Burton, T.D.2
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21
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0021292267
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A perturbation method for certain nonlinear oscillators
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T. D. BURTON 1984 International Journal of Nonlinear Mechanics 19, 397-407. A perturbation method for certain nonlinear oscillators.
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(1984)
International Journal of Nonlinear Mechanics
, vol.19
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Burton, T.D.1
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22
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30244491586
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A weighted mean square method of linearization of non-linear oscillators
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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.
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(1971)
Journal of Sound and Vibration
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Sinha, S.C.1
Srinivasan, P.2
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23
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30244501239
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An approximate analysis of non-linear, non-conservative systems using orthogonal polynomials
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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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(1973)
Journal of Sound and Vibration
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Anderson, G.L.1
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24
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4243089688
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On a nonlinear perturbation theory without secular terms
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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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(1974)
Physica
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Helleman, R.H.G.1
Montroll, E.W.2
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25
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2342475573
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On a convergent nonlinear perturbation theory without small denominators or secular terms
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C. R. EMINHIZER, R. H. G. HELLEMAN and E. W. MONTROLL 1976 Journal of Mathematical Physics 17, 121-140. On a convergent nonlinear perturbation theory without small denominators or secular terms.
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(1976)
Journal of Mathematical Physics
, vol.17
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Eminhizer, C.R.1
Helleman, R.H.G.2
Montroll, E.W.3
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26
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0016535646
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On the convergence of an iterative method for studying nonlinear oscillations without damping
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F. EINAUDI 1975 SIAM Journal of Applied Mathematics 29, 1-11. On the convergence of an iterative method for studying nonlinear oscillations without damping.
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(1975)
SIAM Journal of Applied Mathematics
, vol.29
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Einaudi, F.1
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27
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0042592533
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Remarks on the perturbation process for certain conservative systems
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S. E. JONES 1978 International Journal of Nonlinear Mechanics 13, 125-128. Remarks on the perturbation process for certain conservative systems.
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(1978)
International Journal of Nonlinear Mechanics
, vol.13
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Jones, S.E.1
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