메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages

Higher-order solutions of coupled systems using the parameter expansion method

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL TECHNIQUES; COUPLED SYSTEMS; EXACT SOLUTION; FREQUENCY OF OSCILLATION; HIGHER ORDER SOLUTIONS; HIGHER-ORDER APPROXIMATION; MASS-SPRING; PARAMETER EXPANSION METHODS; PERIODIC SOLUTION;

EID: 69249220157     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2009/327462     Document Type: Article
Times cited : (15)

References (36)
  • 5
    • 0004229164 scopus 로고
    • New York, NY, USA John Wiley Sons
    • Nayfeh A. H., Perturbation Methods 1973 New York, NY, USA John Wiley Sons xii+425
    • (1973) Perturbation Methods , pp. 425
    • Nayfeh, A.H.1
  • 7
    • 50949112266 scopus 로고    scopus 로고
    • An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
    • He J.-H., An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering International Journal of Modern Physics B 2008 22 21 3487 3578
    • (2008) International Journal of Modern Physics B , vol.22 , Issue.21 , pp. 3487-3578
    • He, J.-H.1
  • 8
    • 52949112585 scopus 로고    scopus 로고
    • Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method
    • Ghotbi A. R., Barari A., Ganji D. D., Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method Mathematical Problems in Engineering 2008 2008 8
    • (2008) Mathematical Problems in Engineering , vol.2008 , pp. 8
    • Ghotbi, A.R.1    Barari, A.2    Ganji, D.D.3
  • 10
    • 33846688136 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving fourth-order boundary value problems
    • Mohyud-Din S. T., Noor M. A., Homotopy perturbation method for solving fourth-order boundary value problems Mathematical Problems in Engineering 2007 2007 15
    • (2007) Mathematical Problems in Engineering , vol.2007 , pp. 15
    • Mohyud-Din, S.T.1    Noor, M.A.2
  • 11
    • 33751528556 scopus 로고    scopus 로고
    • Homotopy perturbation method for the solution of the electrostatic potential differential equation
    • Zhang L.-N., He J.-H., Homotopy perturbation method for the solution of the electrostatic potential differential equation Mathematical Problems in Engineering 2006 2006 6
    • (2006) Mathematical Problems in Engineering , vol.2006 , pp. 6
    • Zhang, L.-N.1    He, J.-H.2
  • 12
    • 52949084641 scopus 로고    scopus 로고
    • Comparative vibration analysis of a parametrically nonlinear excited oscillator using HPM and numerical method
    • Khatami I., Pashai M. H., Tolou N., Comparative vibration analysis of a parametrically nonlinear excited oscillator using HPM and numerical method Mathematical Problems in Engineering 2008 2008 11
    • (2008) Mathematical Problems in Engineering , vol.2008 , pp. 11
    • Khatami, I.1    Pashai, M.H.2    Tolou, N.3
  • 13
  • 14
    • 0036489502 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincar methods for some strongly non-linear oscillationsII: A new transformation
    • He J.-H., Modified Lindstedt-Poincar methods for some strongly non-linear oscillationsII: a new transformation International Journal of Nonlinear Mechanics 2002 37 2 315 320
    • (2002) International Journal of Nonlinear Mechanics , vol.37 , Issue.2 , pp. 315-320
    • He, J.-H.1
  • 17
    • 39049089076 scopus 로고    scopus 로고
    • Determination of the limit cycle by Hes parameter-expansion for oscillators in a u3/(1+u2) potential
    • Zhang L.-N., Xu L., Determination of the limit cycle by Hes parameter-expansion for oscillators in a u3/(1+u2) potential Zeitschrift fr Naturforschung A 2007 62 7-8 396 398
    • (2007) Zeitschrift Fr Naturforschung A , vol.62 , Issue.7-8 , pp. 396-398
    • Zhang, L.-N.1    Xu, L.2
  • 18
    • 34547661887 scopus 로고    scopus 로고
    • Application of Hes parameter-expansion method to an oscillation of a mass attached to a stretched elastic wire
    • Xu L., Application of Hes parameter-expansion method to an oscillation of a mass attached to a stretched elastic wire Physics Letters A 2007 368 3-4 259 262
    • (2007) Physics Letters A , vol.368 , Issue.3-4 , pp. 259-262
    • Xu, L.1
  • 20
    • 33644556136 scopus 로고    scopus 로고
    • Wave attenuation in nonlinear periodic structures using harmonic balance and multiple scales
    • Marathe A., Chatterjee A., Wave attenuation in nonlinear periodic structures using harmonic balance and multiple scales Journal of Sound and Vibration 2006 289 4-5 871 888
    • (2006) Journal of Sound and Vibration , vol.289 , Issue.4-5 , pp. 871-888
    • Marathe, A.1    Chatterjee, A.2
  • 21
    • 33746283765 scopus 로고    scopus 로고
    • Harmonic balance approach to limit cycles for nonlinear jerk equations
    • Gottlieb H. P. W., Harmonic balance approach to limit cycles for nonlinear jerk equations Journal of Sound and Vibration 2006 297 1-2 243 250
    • (2006) Journal of Sound and Vibration , vol.297 , Issue.1-2 , pp. 243-250
    • Gottlieb, H.P.W.1
  • 22
    • 0037281868 scopus 로고    scopus 로고
    • Linearized perturbation technique and its applications to strongly nonlinear oscillators
    • He J.-H., Linearized perturbation technique and its applications to strongly nonlinear oscillators Computers Mathematics with Applications 2003 45 13 1 8
    • (2003) Computers Mathematics with Applications , vol.45 , Issue.13 , pp. 1-8
    • He, J.-H.1
  • 23
    • 0036526626 scopus 로고    scopus 로고
    • Preliminary report on the energy balance for nonlinear oscillations
    • He J.-H., Preliminary report on the energy balance for nonlinear oscillations Mechanics Research Communications 2002 29 2-3 107 111
    • (2002) Mechanics Research Communications , vol.29 , Issue.2-3 , pp. 107-111
    • He, J.-H.1
  • 24
    • 62949117479 scopus 로고    scopus 로고
    • Periodic solution for strongly nonlinear vibration systems by Hes energy balance method
    • Ganji S. S., Ganji D. D., Ganji Z. Z., Karimpour S., Periodic solution for strongly nonlinear vibration systems by Hes energy balance method Acta Applicandae Mathematicae 2009 106 1 79 92
    • (2009) Acta Applicandae Mathematicae , vol.106 , Issue.1 , pp. 79-92
    • Ganji, S.S.1    Ganji, D.D.2    Ganji, Z.Z.3    Karimpour, S.4
  • 25
    • 66349083019 scopus 로고    scopus 로고
    • Hes energy balance and Hes variational methods for nonlinear oscillations in engineering
    • Ganji S. S., Ganji D. D., Karimpour S., Hes energy balance and Hes variational methods for nonlinear oscillations in engineering International Journal of Modern Physics B 2009 23 3 461 471
    • (2009) International Journal of Modern Physics B , vol.23 , Issue.3 , pp. 461-471
    • Ganji, S.S.1    Ganji, D.D.2    Karimpour, S.3
  • 26
    • 34447517053 scopus 로고    scopus 로고
    • The variational iteration method for nonlinear oscillators with discontinuities
    • DOI 10.1016/j.jsv.2007.04.020, PII S0022460X07003148
    • Rafei M., Ganji D. D., Daniali H., Pashaei H., The variational iteration method for nonlinear oscillators with discontinuities Journal of Sound and Vibration 2007 305 4-5 614 620 (Pubitemid 47069444)
    • (2007) Journal of Sound and Vibration , vol.305 , Issue.4-5 , pp. 614-620
    • Rafei, M.1    Ganji, D.D.2    Daniali, H.3    Pashaei, H.4
  • 27
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.-H., Wu X.-H., Construction of solitary solution and compacton-like solution by variational iteration method Chaos, Solitons Fractals 2006 29 1 108 113
    • (2006) Chaos, Solitons Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.-H.1    Wu, X.-H.2
  • 28
    • 34250213225 scopus 로고    scopus 로고
    • Variational approach for nonlinear oscillators
    • He J.-H., Variational approach for nonlinear oscillators Chaos, Solitons Fractals 2007 34 5 1430 1439
    • (2007) Chaos, Solitons Fractals , vol.34 , Issue.5 , pp. 1430-1439
    • He, J.-H.1
  • 29
    • 39149143060 scopus 로고    scopus 로고
    • Variational approach to solitons of nonlinear dispersive K(m,n) equations
    • Xu L., Variational approach to solitons of nonlinear dispersive K(m,n) equations Chaos, Solitons Fractals 2008 37 1 137 143
    • (2008) Chaos, Solitons Fractals , vol.37 , Issue.1 , pp. 137-143
    • Xu, L.1
  • 30
    • 0035399334 scopus 로고    scopus 로고
    • Iteration perturbation method for strongly nonlinear oscillations
    • He J.-H., Iteration perturbation method for strongly nonlinear oscillations Journal of Vibration and Control 2001 7 5 631 642
    • (2001) Journal of Vibration and Control , vol.7 , Issue.5 , pp. 631-642
    • He, J.-H.1
  • 31
    • 47649131065 scopus 로고    scopus 로고
    • Variational homotopy perturbation method for solving higher dimensional initial boundary value problems
    • Noor M. A., Mohyud-Din S. T., Variational homotopy perturbation method for solving higher dimensional initial boundary value problems Mathematical Problems in Engineering 2008 2008 11
    • (2008) Mathematical Problems in Engineering , vol.2008 , pp. 11
    • Noor, M.A.1    Mohyud-Din, S.T.2
  • 33
    • 0035909247 scopus 로고    scopus 로고
    • Vibrations of a coupled two-degree-of-freedom system
    • Cveticanin L., Vibrations of a coupled two-degree-of-freedom system Journal of Sound and Vibration 2001 247 2 279 292
    • (2001) Journal of Sound and Vibration , vol.247 , Issue.2 , pp. 279-292
    • Cveticanin, L.1
  • 34
    • 0037172175 scopus 로고    scopus 로고
    • The motion of a two-mass system with non-linear connection
    • Cveticanin L., The motion of a two-mass system with non-linear connection Journal of Sound and Vibration 2002 252 2 361 369
    • (2002) Journal of Sound and Vibration , vol.252 , Issue.2 , pp. 361-369
    • Cveticanin, L.1
  • 35
    • 0016117707 scopus 로고
    • On the stability of vibrations of particle in a plane constrained by identifical non-linear springs
    • Vito R., On the stability of vibrations of particle in a plane constrained by identifical non-linear springs International Journal of Nonlinear Mechanics 1974 9 84 325
    • (1974) International Journal of Nonlinear Mechanics , vol.9 , Issue.84 , pp. 325
    • Vito, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.