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Volumn 304, Issue 1-2, 2007, Pages 201-212

Parametrically excited vibrations of an oscillator with strong cubic negative nonlinearity

Author keywords

[No Author keywords available]

Indexed keywords

CURVE FITTING; DIFFERENTIAL EQUATIONS; LINEAR SYSTEMS; NUMERICAL METHODS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES;

EID: 34247880332     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.02.028     Document Type: Article
Times cited : (28)

References (20)
  • 1
    • 0027912280 scopus 로고
    • Stability analysis of the non-linear Mathieu equation
    • Mond M., and Cederbaum G. Stability analysis of the non-linear Mathieu equation. Journal of Sound and Vibration 167 1 (1993) 77-89
    • (1993) Journal of Sound and Vibration , vol.167 , Issue.1 , pp. 77-89
    • Mond, M.1    Cederbaum, G.2
  • 2
    • 0031188273 scopus 로고    scopus 로고
    • Existence of periodic solution for beams with harmonically variable length
    • Esmailzadeh E., Jazar G.N., and Mehri B. Existence of periodic solution for beams with harmonically variable length. ASME Journal of Vibration and Acoustics 119 3 (1997) 485-488
    • (1997) ASME Journal of Vibration and Acoustics , vol.119 , Issue.3 , pp. 485-488
    • Esmailzadeh, E.1    Jazar, G.N.2    Mehri, B.3
  • 3
    • 0005648580 scopus 로고    scopus 로고
    • Parametric response of cantilever Timoshenko beams with tip mass under harmonic support motion
    • Esmailzadeh E., and Jalili N. Parametric response of cantilever Timoshenko beams with tip mass under harmonic support motion. International Journal of Non-Linear Mechanics 33 5 (1998) 765-781
    • (1998) International Journal of Non-Linear Mechanics , vol.33 , Issue.5 , pp. 765-781
    • Esmailzadeh, E.1    Jalili, N.2
  • 5
    • 0035151948 scopus 로고    scopus 로고
    • Nonlinear Mathieu equation and coupled resonance mechanism
    • El-Dib Y.O. Nonlinear Mathieu equation and coupled resonance mechanism. Chaos Solitons and Fractals 12 4 (2001) 705-720
    • (2001) Chaos Solitons and Fractals , vol.12 , Issue.4 , pp. 705-720
    • El-Dib, Y.O.1
  • 6
    • 0036680917 scopus 로고    scopus 로고
    • Bifurcations in a Mathieu equation with cubic nonlinearities
    • Ng L., and Rand R. Bifurcations in a Mathieu equation with cubic nonlinearities. Chaos, Solitons and Fractals 14 (2002) 173-181
    • (2002) Chaos, Solitons and Fractals , vol.14 , pp. 173-181
    • Ng, L.1    Rand, R.2
  • 10
    • 0038341785 scopus 로고    scopus 로고
    • Approximate asymptotic solution for nonlinear Mathieu equation using harmonic balance based averaging
    • Abraham G.T., and Chatterjee A. Approximate asymptotic solution for nonlinear Mathieu equation using harmonic balance based averaging. Nonlinear Dynamics 31 (2003) 347-365
    • (2003) Nonlinear Dynamics , vol.31 , pp. 347-365
    • Abraham, G.T.1    Chatterjee, A.2
  • 12
    • 0036896806 scopus 로고    scopus 로고
    • Effect of cubic nonlinearity on auto-parametrically amplified resonant MEMS mass sensor
    • Zhang W., Baskaran R., and Turner K.L. Effect of cubic nonlinearity on auto-parametrically amplified resonant MEMS mass sensor. Sensors and Actuators A 102 (2002) 139-150
    • (2002) Sensors and Actuators A , vol.102 , pp. 139-150
    • Zhang, W.1    Baskaran, R.2    Turner, K.L.3
  • 13
    • 15544389391 scopus 로고    scopus 로고
    • Existence of periodic solutions for the generalized form of Mathieu Equation
    • Younesian D., Esmailzadeh E., and Sedaghati R. Existence of periodic solutions for the generalized form of Mathieu Equation. Nonlinear Dynamics 39 (2005) 335-348
    • (2005) Nonlinear Dynamics , vol.39 , pp. 335-348
    • Younesian, D.1    Esmailzadeh, E.2    Sedaghati, R.3
  • 14
    • 0033741959 scopus 로고    scopus 로고
    • Vibrations in a parametrically excited system
    • Cveticanin L. Vibrations in a parametrically excited system. Journal of Sound and Vibration 229 2 (2000) 245-271
    • (2000) Journal of Sound and Vibration , vol.229 , Issue.2 , pp. 245-271
    • Cveticanin, L.1
  • 15
    • 1442333545 scopus 로고    scopus 로고
    • Stability chart of parametric vibrating systems using energy-rate method
    • Jazar G.N. Stability chart of parametric vibrating systems using energy-rate method. International Journal of Non-Linear Mechanics 39 (2004) 1319-1331
    • (2004) International Journal of Non-Linear Mechanics , vol.39 , pp. 1319-1331
    • Jazar, G.N.1
  • 17
    • 20444446398 scopus 로고    scopus 로고
    • Maximal Lyapunov exponent and almost-sure stability for stochastic Mathieu-Duffing systems
    • Li J., Xu W., Ren Z., and Lei Y. Maximal Lyapunov exponent and almost-sure stability for stochastic Mathieu-Duffing systems. Journal of Sound and Vibration 286 (2005) 395-402
    • (2005) Journal of Sound and Vibration , vol.286 , pp. 395-402
    • Li, J.1    Xu, W.2    Ren, Z.3    Lei, Y.4
  • 20
    • 84907162570 scopus 로고    scopus 로고
    • M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Nauka, Moscow, 1979.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.