메뉴 건너뛰기




Volumn 11, Issue 12, 2010, Pages 1027-1032

Periodic solutions for the generalized nonlinear oscillators containing fraction order elastic force

Author keywords

He's energy balance method; He's variational approach formulation; Nonlinear oscillation

Indexed keywords


EID: 79951684803     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2010.11.12.1027     Document Type: Article
Times cited : (27)

References (25)
  • 4
    • 34250213225 scopus 로고    scopus 로고
    • Variational approach for nonlinear oscillators
    • He JH, Variational approach for nonlinear oscillators, Chaos Solitons and Fractals, 34: 1430-1439(2007).
    • (2007) Chaos Solitons and Fractals , vol.34 , pp. 1430-1439
    • He, J.H.1
  • 5
    • 74449084990 scopus 로고    scopus 로고
    • The variational iteration method which should be followed
    • He JH, Wu GC, Austin F, The variational iteration method which should be followed, Nonlinear Science Letter A,1:1-30(2010).
    • (2010) Nonlinear Science Letter A , vol.1 , pp. 1-30
    • He, J.H.1    Wu, G.C.2    Austin, F.3
  • 6
    • 79251607410 scopus 로고    scopus 로고
    • Frequency analysis of nonlinear oscillators with rational restoring force via He's energy balance method and He's variational approach
    • Askari H, Yazdi MK, Saadatnia Z, Frequency analysis of nonlinear oscillators with rational restoring force via He's energy balance method and He's variational approach, Nonlinear Science Letter A, 1: 425-430(2010).
    • (2010) Nonlinear Science Letter A , vol.1 , pp. 425-430
    • Askari, H.1    Yazdi, M.K.2    Saadatnia, Z.3
  • 7
    • 0036526626 scopus 로고    scopus 로고
    • Preliminary report on the energy balance for nonlinear oscillations
    • He JH, Preliminary report on the energy balance for nonlinear oscillations, Mechanics Research Communication, 29: 107-111 (2002).
    • (2002) Mechanics Research Communication , vol.29 , pp. 107-111
    • He, J.H.1
  • 8
    • 24344480923 scopus 로고    scopus 로고
    • A generalized iteration procedure for calculating approximations to periodic solutions of truly nonlinear oscillators
    • RE. Mickens, A generalized iteration procedure for calculating approximations to periodic solutions of truly nonlinear oscillators, Journal of Sound and Vibration, 287:1045-1051 (2005).
    • (2005) Journal of Sound and Vibration , vol.287 , pp. 1045-1051
    • Mickens, R.E.1
  • 10
    • 77950948785 scopus 로고    scopus 로고
    • Frequency analysis of strongly nonlinear generalized Duffing oscillators using He's frequency amplitude formulation and He's energy balance method
    • Younesian D, Askari H, Saadatnia Z, KalamiYazdi M, Frequency analysis of strongly nonlinear generalized Duffing oscillators using He's frequency amplitude formulation and He's energy balance method, Computer & Mathematic with application, 59: 3222-3228(2010).
    • (2010) Computer & Mathematic with Application , vol.59 , pp. 3222-3228
    • Younesian, D.1    Askari, H.2    Saadatnia, Z.3    KalamiYazdi, M.4
  • 11
    • 0001558206 scopus 로고    scopus 로고
    • Periodic solutions of the relativistic harmonic oscillator
    • Mickens RE, Periodic solutions of the relativistic harmonic oscillator, Journal of Sound and Vibration, 212: 905-908(1998).
    • (1998) Journal of Sound and Vibration , vol.212 , pp. 905-908
    • Mickens, R.E.1
  • 12
    • 15544389391 scopus 로고    scopus 로고
    • Existence of periodic solutions for the generalized form of Mathieu equation
    • Younesian D, Esmailzadeh E, Sedaghati R, Existence of periodic solutions for the generalized form of Mathieu equation, Nonlinear Dynamics, 39: 335-348(2005).
    • (2005) Nonlinear Dynamics , vol.39 , pp. 335-348
    • Younesian, D.1    Esmailzadeh, E.2    Sedaghati, R.3
  • 13
    • 74249092028 scopus 로고    scopus 로고
    • Determination of periodic solutions for nonlinear oscillators with fractional powers by He's modified LindstedtPoincaré method
    • Yildirim A, Determination of periodic solutions for nonlinear oscillators with fractional powers by He's modified LindstedtPoincaré method, Meccanica, 45: 1-6(2010).
    • (2010) Meccanica , vol.45 , pp. 1-6
    • Yildirim, A.1
  • 14
    • 47049083693 scopus 로고    scopus 로고
    • An improved amplitude-frequency formulation for nonlinear oscillators
    • He JH, An improved amplitude-frequency formulation for nonlinear oscillators, Int. J. Nonlinear Sci. Numer. Simul. 9: 211-212 (2008).
    • (2008) Int. J. Nonlinear Sci. Numer. Simul. , vol.9 , pp. 211-212
    • He, J.H.1
  • 15
    • 77950942090 scopus 로고    scopus 로고
    • Hamiltonian approach to nonlinear oscillators, Physics
    • He JH, Hamiltonian approach to nonlinear oscillators, Physics Letters A, 374: 2312-2314 (2010).
    • (2010) Letters A , vol.374 , pp. 2312-2314
    • He, J.H.1
  • 16
    • 70350566609 scopus 로고    scopus 로고
    • Homotopy perturbation method for a conservative force nonlinear oscillator
    • Beléndez A, Homotopy perturbation method for a conservative force nonlinear oscillator, Computers &Mathematics with Applications, 58: 2267-2273 (2009).
    • (2009) Computers &Mathematics with Applications , vol.58 , pp. 2267-2273
    • Beléndez, A.1
  • 17
    • 78649517104 scopus 로고    scopus 로고
    • Application of He's Max-Min Approach to a Generalized Nonlinear Discontinuity Equation
    • Demirbag SA, Kaya MO, Application of He's Max-Min Approach to a Generalized Nonlinear Discontinuity Equation, Int. J. Nonlinear Sci. Numer. Simul. 11: 4269-272 (2010).
    • (2010) Int. J. Nonlinear Sci. Numer. Simul. , vol.11 , pp. 4269-4272
    • Demirbag, S.A.1    Kaya, M.O.2
  • 18
    • 74549167313 scopus 로고    scopus 로고
    • Analysis of Strongly Nonlinear Oscillator using the Max-Min Approach
    • Zeng DQ, Lee YY, Analysis of Strongly Nonlinear Oscillator using the Max-Min Approach, Int. J. Nonlinear Sci. Numer. Simul. 10: 1361-1368(2009).
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , pp. 1361-1368
    • Zeng, D.Q.1    Lee, Y.Y.2
  • 20
    • 0037461472 scopus 로고    scopus 로고
    • Analysis of non-linear oscillators having non-polynomial elastic terms
    • Mickens RE, Analysis of non-linear oscillators having non-polynomial elastic terms, Journal of Sound and Vibration, 255: 789-792(2002).
    • (2002) Journal of Sound and Vibration , vol.255 , pp. 789-792
    • Mickens, R.E.1
  • 21
    • 0345276187 scopus 로고    scopus 로고
    • A study of nonlinear oscillations in systems having non-polynomial elastic force functions
    • Mickens RE, A study of nonlinear oscillations in systems having non-polynomial elastic force functions, Recent Research Developments in Sound and Vibration, 1: 241-251(2002).
    • (2002) Recent Research Developments in Sound and Vibration , vol.1 , pp. 241-251
    • Mickens, R.E.1
  • 22
    • 0037461472 scopus 로고    scopus 로고
    • Analysis of non-linear oscillators having non-polynomial elastic terms
    • Mickens RE, Analysis of non-linear oscillators having non-polynomial elastic terms, Journal of Sound and Vibration, 255: 789-792(2003).
    • (2003) Journal of Sound and Vibration , vol.255 , pp. 789-792
    • Mickens, R.E.1
  • 23
    • 0037253260 scopus 로고    scopus 로고
    • Oscillations in an x(2m+1)(2n+1) potential
    • Hu H, Xiong ZG, Oscillations in an x(2m+1)(2n+1) potential, Journal of Sound and Vibration 259: 977-980(2003).
    • (2003) Journal of Sound and Vibration , vol.259 , pp. 977-980
    • Hu, H.1    Xiong, Z.G.2
  • 24
    • 33846210009 scopus 로고    scopus 로고
    • Determination of periodic solution for a force by He's modified Lindstedt-Poincaré method
    • Özis T, Yildinm A, Determination of periodic solution for a force by He's modified Lindstedt-Poincaré method, Journal of Sound and Vibration 301: 415-419 (2007).
    • (2007) Journal of Sound and Vibration , vol.301 , pp. 415-419
    • Özis, T.1    Yildinm, A.2
  • 25
    • 34447499980 scopus 로고    scopus 로고
    • A study of nonlinear oscillators with force by He's variational iteration method
    • Özis T, Yildirim A, A study of nonlinear oscillators with force by He's variational iteration method, Journal of Sound and Vibration, 306: 372-376 (2007).
    • (2007) Journal of Sound and Vibration , vol.306 , pp. 372-376
    • Özis, T.1    Yildirim, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.