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Volumn 314, Issue 3-5, 2008, Pages 465-473

A modified Mickens iteration procedure for nonlinear oscillators

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; ITERATIVE METHODS; LINEAR EQUATIONS; NONLINEAR ANALYSIS; PROBLEM SOLVING;

EID: 43049100021     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2008.03.007     Document Type: Article
Times cited : (25)

References (16)
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    • Mickens R.E. Iteration procedure for determining approximate solutions to non-linear oscillator equation. Journal of Sound and Vibration 116 (1987) 185-188
    • (1987) Journal of Sound and Vibration , vol.116 , pp. 185-188
    • Mickens, R.E.1
  • 2
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    • A classical iteration procedure valid for certain strongly nonlinear oscillators
    • Hu H. A classical iteration procedure valid for certain strongly nonlinear oscillators. Journal of Sound and Vibration 299 (2007) 397-402
    • (2007) Journal of Sound and Vibration , vol.299 , pp. 397-402
    • Hu, H.1
  • 4
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    • On Linstedt-Poincaré techniques for the quintic Duffing equation
    • Ramos J.I. On Linstedt-Poincaré techniques for the quintic Duffing equation. Applied Mathematics and Computation 193 (2007) 303-310
    • (2007) Applied Mathematics and Computation , vol.193 , pp. 303-310
    • Ramos, J.I.1
  • 5
    • 0037058127 scopus 로고    scopus 로고
    • A modified Mickens procedure for certain non-linear oscillators
    • Lim C.W., and Wu B.S. A modified Mickens procedure for certain non-linear oscillators. Journal of Sound and Vibration 257 (2002) 202-206
    • (2002) Journal of Sound and Vibration , vol.257 , pp. 202-206
    • Lim, C.W.1    Wu, B.S.2
  • 6
    • 3142746199 scopus 로고    scopus 로고
    • An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems
    • Lim C.W., and Wu B.S. An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems. Acta Mechanica 170 (2004) 69-75
    • (2004) Acta Mechanica , vol.170 , pp. 69-75
    • Lim, C.W.1    Wu, B.S.2
  • 7
    • 24344480923 scopus 로고    scopus 로고
    • A generalized iteration procedure for calculating approximations to periodic solutions of "truly nonlinear oscillators"
    • Michens R.E. A generalized iteration procedure for calculating approximations to periodic solutions of "truly nonlinear oscillators". Journal of Sound and Vibration 287 (2005) 1045-1051
    • (2005) Journal of Sound and Vibration , vol.287 , pp. 1045-1051
    • Michens, R.E.1
  • 9
    • 33646517251 scopus 로고    scopus 로고
    • Solutions of nonlinear oscillators with fractional powers by an iteration procedure
    • Hu H. Solutions of nonlinear oscillators with fractional powers by an iteration procedure. Journal of Sound and Vibration 294 (2006) 608-614
    • (2006) Journal of Sound and Vibration , vol.294 , pp. 608-614
    • Hu, H.1
  • 10
    • 33748066633 scopus 로고    scopus 로고
    • Solutions of the Duffing-harmonic oscillator by an iteration procedure
    • Hu H. Solutions of the Duffing-harmonic oscillator by an iteration procedure. Journal of Sound and Vibration 298 (2006) 446-452
    • (2006) Journal of Sound and Vibration , vol.298 , pp. 446-452
    • Hu, H.1
  • 11
    • 33748757919 scopus 로고    scopus 로고
    • Solutions of a quadratic nonlinear oscillator: iteration procedure
    • Hu H. Solutions of a quadratic nonlinear oscillator: iteration procedure. Journal of Sound and Vibration 298 (2006) 1159-1165
    • (2006) Journal of Sound and Vibration , vol.298 , pp. 1159-1165
    • Hu, H.1
  • 12
    • 33745664224 scopus 로고    scopus 로고
    • A modified iteration perturbation method for some nonlinear oscillation problems
    • Marinca V., and Herisanu N. A modified iteration perturbation method for some nonlinear oscillation problems. Acta Mechanica 184 (2006) 231-242
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  • 13
    • 0036489498 scopus 로고    scopus 로고
    • Modified Linstedt-Poincare methods for some strongly non-linear oscillations-part I: expansion of a constant
    • He J.H. Modified Linstedt-Poincare methods for some strongly non-linear oscillations-part I: expansion of a constant. International Journal of Non-linear Mechanics 37 (2002) 309-314
    • (2002) International Journal of Non-linear Mechanics , vol.37 , pp. 309-314
    • He, J.H.1
  • 14
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    • S.J. Liao, Beyond Perturbation: Introduction to Homotopy Analysis Method, Chapman & Hall, London, CRC Press, Boca Raton, FL, 2003.
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  • 15
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    • A new method based on the harmonic balance method for nonlinear oscillators
    • Chen Y.M., and Liu J.K. A new method based on the harmonic balance method for nonlinear oscillators. Physics Letters A 368 (2007) 371-378
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.