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Volumn 4, Issue 29-32, 2010, Pages 1591-1597

Approximate analytical solutions to nonlinear oscillators using he's amplitude-frequency formulation

Author keywords

He's amplitude frequency formulation; Nonlinear oscillators; Periodic solution

Indexed keywords


EID: 77957051829     PISSN: 13128876     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (15)
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    • A. Fereidoon, Y. Rostamiyan, M. Akbarzade, Davood Domiri Ganji, Application of He's homotopy perturbation method to nonlinear shock damper dynamics, Archive of Applied Mechanics, DOI: 10.1007/s00419-009-0334-x,2009.
    • Archive of Applied Mechanics
    • Fereidoon, A.1    Rostamiyan, Y.2    Akbarzade, M.3
  • 3
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    • The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
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    • Ganji, D.D.1
  • 4
    • 33748919061 scopus 로고    scopus 로고
    • Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations
    • D.D. Ganji, A. Sadighi, Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations, International Journal of Nonlinear Sciences and Numerical Simulation 7 (4) (2006) 411-418.
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    • Ganji, D.D.1    Sadighi, A.2
  • 5
    • 33745244211 scopus 로고    scopus 로고
    • Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
    • D.D. Ganji, M. Rafei, Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method, Physics Letters A 356 (2) (2006) 131-137.
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    • Ganji, D.D.1    Rafei, M.2
  • 6
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    • Comparison of Energy Balance Period for Arising Nonlinear Oscillator Equations (He's energy balance period for nonlinear oscillators with and without discontinuities), Acta Applicandae Mathematicae
    • DOI: 10.1007/s10440-008-9315-2
    • D.D. Ganji, N. Ranjbar Malidarreh, M. Akbarzade, Comparison of Energy Balance Period for Arising Nonlinear Oscillator Equations (He's energy balance period for nonlinear oscillators with and without discontinuities), Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, DOI: 10.1007/s10440-008-9315-2, 2008.
    • (2008) An International Survey Journal on Applying Mathematics and Mathematical Applications
    • Ganji, D.D.1    Ranjbar Malidarreh, N.2    Akbarzade, M.3
  • 8
    • 84976333539 scopus 로고    scopus 로고
    • He's Energy Balance Method to Evalute the Effect of Amplitude on the Natural Frequency in Nonlinear Vibration Systems
    • H. Babazadeh, D.D. Ganji, and M. Akbarzade, HE'S ENERGY BALANCE METHOD TO EVALUTE THE EFFECT OF AMPLITUDE ON THE NATURAL FREQUENCY IN NONLINEAR VIBRATION SYSTEMS, Progress In Electromagnetics Research M, (2008), Vol. 4, 143-154.
    • (2008) Progress In Electromagnetics Research M. , vol.4 , pp. 143-154
    • Babazadeh, H.1    Ganji, D.D.2    Akbarzade, M.3
  • 9
    • 4243080805 scopus 로고    scopus 로고
    • Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt-Poincare method
    • H.M. Liu, Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt-Poincare method, Chaos Solitons & Fractals 23 (2) (2005) 577-579.
    • (2005) Chaos Solitons & Fractals , vol.23 , Issue.2 , pp. 577-579
    • Liu, H.M.1
  • 10
    • 0036489498 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincare methods for some strongly non-linear oscillations Part I: Expansion of a constant
    • J.H. He, Modified Lindstedt-Poincare methods for some strongly non-linear oscillations Part I: expansion of a constant, International Journal of Nonlinear Mechanics 37 (2) (2002) 309-314.
    • (2002) International Journal of Nonlinear Mechanics , vol.37 , Issue.2 , pp. 309-314
    • He, J.H.1
  • 11
    • 0036489502 scopus 로고    scopus 로고
    • Modified Lindstedt-Poincare methods for some strongly non-linear oscillations Part II: A new transformation
    • J.H. He, Modified Lindstedt-Poincare methods for some strongly non-linear oscillations Part II: a new transformation, International Journal of Nonlinear Mechanics 37 (2) (2002) 315-320.
    • (2002) International Journal of Nonlinear Mechanics , vol.37 , Issue.2 , pp. 315-320
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  • 12
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    • Construction of solitary solution and compacton-like solution by variational iteration method
    • J.H. He, X.H. Wu, Construction of solitary solution and compacton-like solution by variational iteration method, Chaos Solitons & Fractals 29 (1) (2006) 108-113.
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    • He, J.H.1    Wu, X.H.2
  • 14
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    • L. Geng, X.C. Cai, "He's frequency formulation for nonlinear oscillators", EUROPEAN JOURNAL OF PHYSICS 28 923-931(2007).
    • (2007) European Journal of Physics , vol.28 , pp. 923-931
    • Geng, L.1    Cai, X.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.