메뉴 건너뛰기




Volumn 19, Issue 3, 2012, Pages 323-332

Nonlinear vibration of oscillation systems using frequency-amplitude formulation

Author keywords

approximate frequency; He's frequency amplitude formulation; Nonlinear vibration; periodic solution

Indexed keywords

CONDENSED MATTER PHYSICS; VIBRATIONS (MECHANICAL);

EID: 84863009060     PISSN: 10709622     EISSN: None     Source Type: Journal    
DOI: 10.3233/SAV-2010-0633     Document Type: Article
Times cited : (20)

References (37)
  • 5
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to Helmholts equation
    • Sh.Momani and S. Abuasad, Application of He's variational iteration method to Helmholts equation, Chaos Solitons & Fractals 27 (2006), 1119-1123.
    • (2006) Chaos Solitons & Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 7
    • 52949132624 scopus 로고    scopus 로고
    • Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations
    • A. Barari, M. Omidvar, Abdoul R. Ghotbi and D.D. Ganji, Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations, Acta Applicandae Mathematicae 104 (2008), 161-171.
    • (2008) Acta Applicandae Mathematicae , vol.104 , pp. 161-171
    • Barari, A.1    Omidvar, M.2    Ghotbi, A.R.3    Ganji, D.D.4
  • 10
    • 79651469834 scopus 로고    scopus 로고
    • Analytical evaluation of the nonlinear vibration of coupled oscillator systems
    • M. Bayat, M. Shahidi, A. Barari and G. Domairry, Analytical evaluation of the nonlinear vibration of coupled oscillator systems, Zeitschrift für Naturforschung A 66a(1) (2011), 1-16.
    • (2011) Zeitschrift für Naturforschung A , vol.66 A , Issue.1 , pp. 1-16
    • Bayat, M.1    Shahidi, M.2    Barari, A.3    Domairry, G.4
  • 12
    • 62949117479 scopus 로고    scopus 로고
    • Periodic solution for strongly nonlinear vibration system by He's energy balance method
    • doi:10.1007/s10440-008-9283-6
    • S.S. Ganji, D.D. Ganji, Z.Z. Ganji and S. Karimpour, Periodic solution for strongly nonlinear vibration system by He's energy balance method, Acta Applicandae Mathematicae (2008), doi:10.1007/s10440-008-9283-6.
    • (2008) Acta Applicandae Mathematicae
    • Ganji, S.S.1    Ganji, D.D.2    Ganji, Z.Z.3    Karimpour, S.4
  • 13
    • 0036526626 scopus 로고    scopus 로고
    • Preliminary report on the energy balance for nonlinear oscillations
    • J.H. He, Preliminary report on the energy balance for nonlinear oscillations, Mechanics Research Communications 29(2-3) (2002), 107-111.
    • (2002) Mechanics Research Communications , vol.29 , Issue.2-3 , pp. 107-111
    • He, J.H.1
  • 14
    • 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
    • H. Askari, M. Kalami Yazdi and Z. Saadatnia, Frequency analysis of nonlinear oscillators with rational restoring force via He's Energy Balance Method and He's Variational Approach, Nonlinear Sci Lett A 1 (2010), 425-430.
    • (2010) Nonlinear Sci Lett A , vol.1 , pp. 425-430
    • Askari, H.1    Kalami Yazdi, M.2    Saadatnia, Z.3
  • 15
    • 77957955886 scopus 로고    scopus 로고
    • Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods
    • L.B. Ibsen, A. Barari and A. Kimiaeifar, Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods, Sadhana 35 (2010), 1-16.
    • (2010) Sadhana , vol.35 , pp. 1-16
    • Ibsen, L.B.1    Barari, A.2    Kimiaeifar, A.3
  • 17
    • 79960966323 scopus 로고    scopus 로고
    • Multi-step differential transform method for nonlinear oscillators
    • J. Biazar and F. Mohammadi, Multi-step Differential Transform Method for nonlinear oscillators, Nonlinear Sci Lett A 1 (2010), 391-397.
    • (2010) Nonlinear Sci Lett A , vol.1 , pp. 391-397
    • Biazar, J.1    Mohammadi, F.2
  • 18
    • 84856430706 scopus 로고    scopus 로고
    • Differential transform method for mathematical modeling of Jamming transition problem in traffic congestion flow
    • DOI: 10.1007/s10100-010-0154-7
    • S.S. Ganji, A. Barari, L.B. Ibsen and G. Domairry, Differential Transform Method for mathematical modeling of Jamming transition problem in traffic congestion flow, Central European Journal of Operations Research (2011), DOI: 10.1007/s10100-010-0154-7.
    • Central European Journal of Operations Research (2011
    • Ganji, S.S.1    Barari, A.2    Ibsen, L.B.3    Domairry, G.4
  • 20
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • J.H. He, Some asymptotic methods for strongly nonlinear equations, International Journal of Modern Physic B 20 (2006), 1141-1199.
    • (2006) International Journal of Modern Physic B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 21
    • 79958114696 scopus 로고    scopus 로고
    • Application of He's Parameter-expansion Method to a system of two van der Pol oscillators coupled via a Bath
    • M.T. Darvishi, S. Kheybari and A. Yildirim, Application of He's Parameter-expansion Method to a system of two van der Pol oscillators coupled via a Bath, Nonlinear Sci Lett A 1 (2010), 399-405.
    • (2010) Nonlinear Sci Lett A , vol.1 , pp. 399-405
    • Darvishi, M.T.1    Kheybari, S.2    Yildirim, A.3
  • 24
    • 0027316643 scopus 로고
    • Application of the harmonic balance principle to the nonlinear free vibration of beams
    • M.I. Qaisi, Application of the harmonic balance principle to the nonlinear free vibration of beams, Applied Acoustics 40(2) (1993), 141-151.
    • (1993) Applied Acoustics , vol.40 , Issue.2 , pp. 141-151
    • Qaisi, M.I.1
  • 25
    • 79651472493 scopus 로고    scopus 로고
    • Approximate analyses of two mass-spring systems and buckling of a column
    • S.S. Ganji, A. Barari and D.D. Ganji, Approximate analyses of two mass-spring systems and buckling of a column, Computers & Mathematics with Applications 61(4) (2011), 1088-1095.
    • (2011) Computers & Mathematics with Applications , vol.61 , Issue.4 , pp. 1088-1095
    • Ganji, S.S.1    Barari, A.2    Ganji, D.D.3
  • 27
    • 77954383994 scopus 로고    scopus 로고
    • Nonlinear vibration of viscoelastic sandwich beams by the harmonic balance and finite element methods
    • N. Jacques, E.M. Daya andM. Potier-Ferry, Nonlinear vibration of viscoelastic sandwich beams by the harmonic balance and finite element methods, Journal of Sound and Vibration 329 (2010), 4251-4265.
    • (2010) Journal of Sound and Vibration , vol.329 , pp. 4251-4265
    • Jacques, N.1    Daya, E.M.2    Potier-Ferry, M.3
  • 28
    • 77955656204 scopus 로고    scopus 로고
    • Large amplitudes free vibrations and post-buckling analysis of unsymmetrically laminated composite beams on nonlinear elastic foundation
    • M. Baghani, R.A. Jafari-Talookolaei and H. Salarieh, Large amplitudes free vibrations and post-buckling analysis of unsymmetrically laminated composite beams on nonlinear elastic foundation, Applied Mathematical Modelling 35 (2011), 130-138.
    • (2011) Applied Mathematical Modelling , vol.35 , pp. 130-138
    • Baghani, M.1    Jafari-Talookolaei, R.A.2    Salarieh, H.3
  • 30
    • 72149113334 scopus 로고    scopus 로고
    • Modified variational iteration technique for solving singular fourth-order parabolic partial differential equations
    • M.A. Noor, K.I. Noor and S.T. Mohyud-Din, Modified variational iteration technique for solving singular fourth-order parabolic partial differential equations, Nonlinear Analysis 71 (2009), 630-640.
    • (2009) Nonlinear Analysis , vol.71 , pp. 630-640
    • Noor, M.A.1    Noor, K.I.2    Mohyud-Din, S.T.3
  • 31
    • 75849119800 scopus 로고    scopus 로고
    • Analytical periodic solution to a generalized nonlinear oscillator: Application ofHe's frequency-amplitude formulation
    • Abd Elhalim Ebaid. Analytical periodic solution to a generalized nonlinear oscillator: Application ofHe's frequency-amplitude formulation, Mechanics Research Communications 37 (2010), 111-112.
    • (2010) Mechanics Research Communications , vol.37 , pp. 111-112
    • Ebaid, A.E.1
  • 32
    • 70350564877 scopus 로고    scopus 로고
    • He's frequency-amplitude formulation for the Duffing harmonic Oscillator
    • Jie Fan, He's frequency-amplitude formulation for the Duffing harmonic Oscillator, Computers and Mathematics with Applications 58 (2009), 2473-2476.
    • (2009) Computers and Mathematics with Applications , vol.58 , pp. 2473-2476
    • Fan, J.1
  • 33
    • 70350566066 scopus 로고    scopus 로고
    • Application of He's amplitude-frequency formulation to a nonlinear oscillator with discontinuity
    • Hui-Li Zhang, Application of He's amplitude-frequency formulation to a nonlinear oscillator with discontinuity, Computers and Mathematics with Applications 58 (2009), 2197-2198.
    • (2009) Computers and Mathematics with Applications , vol.58 , pp. 2197-2198
    • Zhang, H.-L.1
  • 34
    • 33747222414 scopus 로고
    • Natural frequencies of two nonlinear systems compared with the pendulum
    • 145146
    • E.W. Gaylord, Natural frequencies of two nonlinear systems compared with the pendulum, Journal of Applied Mechanics 26 (1959), 145146, 85.
    • (1959) Journal of Applied Mechanics , vol.26 , pp. 85
    • Gaylord, E.W.1
  • 35
    • 56549083308 scopus 로고    scopus 로고
    • Application of the differential transformation method to the free vibrations of strongly non-linear oscillators
    • Shih-Shin Chen and Cha'o-Kuang Chen, Application of the differential transformation method to the free vibrations of strongly non-linear oscillators, Nonlinear Analysis: Real World Applications 10 (2009), 881-888.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 881-888
    • Chen, S.-S.1    Chen, C.-K.2
  • 36
    • 0031555687 scopus 로고    scopus 로고
    • On the large amplitude free vibrations of a restrained uniform beam carrying an intermediate lumped mass
    • M.N. Hamden and N.H. Shabaneh, On the large amplitude free vibrations of a restrained uniform beam carrying an intermediate lumped mass, Journal of Sound and Vibration 199 (1997), 711-736.
    • (1997) Journal of Sound and Vibration , vol.199 , pp. 711-736
    • Hamden, M.N.1    Shabaneh, N.H.2
  • 37
    • 69249217890 scopus 로고    scopus 로고
    • Application of the energy balance method to nonlinear vibrating equations
    • I. Mehdipour, D.D. Ganji and M. Mozaffari, Application of the energy balance method to nonlinear vibrating equations, Current Applied Physics 10 (2010), 104-112.
    • (2010) Current Applied Physics , vol.10 , pp. 104-112
    • Mehdipour, I.1    Ganji, D.D.2    Mozaffari, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.