BibTex RIS Kaynak Göster
Yıl 2013, Cilt: 5 Sayı: 4, 1 - 15, 01.12.2013

Öz

Kaynakça

  • [1] Nayfeh, A.H. and Mook, D.T., Nonlinear Oscillations, New York: Wiley 1979.
  • [2] Nayfeh, A.H., Nonlinear Interactions, John Wiley Sons, Inc., New York, 2000.
  • [3] Jain, M.K., Numerical Solutions of Differential Equations, Wiley eastern limitation, 1984.
  • [4] Asfar, K.R., Nayfeh, A. H. and Mook, D.M., Response of self-excited two- degree-offreedom to multi-frequency excitations, J. of Sound and Vibration, 84(2), 199-221, 1982.
  • [5] Quein S.S., TuerK.L. and Golnaraghi M.F., “Regulation of a two-degree- of-freedom structure using internal resonance”, ASME J. of Dynamics Systems, Measurement and Control, 117, 117-251, 1995.
  • [6] Eissa, M., Dynamic and Resonance of Non-linear Mechanical Oscillator Subjected to Parametric and External Excitation, AMSE conference, Michigan, U.S.A, 1998.
  • [7] Queini, S.S. and Nayfeh, A.H., Single mode control of a cantilever beam under principal parametric excitation, J. of Sound and Vibration, 224(1), 33-47, 1999.
  • [8] Eissa, M., Vibration control of non-linear mechanical systems via neutralizer, Sci. Bull. Fac. Eng. Menofia University, No.18, July 1999.
  • [9] Pai, P.F. and Schilz, M.J., A refined nonlinear vibration absorber, Int. J. of Mech. Sci. 42, 537-560, 2000.
  • [10] Cuvalci, O., The effect of detuning parameters of the absorption region of a coupled system: numerical and experimental study, J. of Sound and vibration, 229(4), 837-857, 2000.
  • [11] Ji, J.C. and Hansen, C.H., Non-linear response of a post-buckled beam subject to a harmonic axial excitation, J. of Sound and Vibration, 237(2), 303-318, 2000.
  • [12] Ashour, O.N. and Nayfeh, A.H., Adaptive control of flexible structures using a nonlinear vibration absorber, Nonlinear Dynamics, 28, 309-322, 2002.
  • [13] Sayam, S., Donald, L.K. and Hanafy, M.O., Numerical simulations of cantilever beam response with saturation control and full modal coupling. Computers and structures, 81, 1499–1510, 2003.
  • [14] Song, Y., Sato, H., Iwata, Y. and Komatsuzaki, T., The response of a dynamic vibration absorber system with a parametrically excited pendulum, J. of Sound and Vibration, 259(4), 747–759, 2003.
  • [15] Attilio, M., Periodic and quasiperiodic motion for complex non-linear systems, Int. J. of Non-Linear Mech., 38, 575–584, 2003.
  • [16] Eissa, M. and Amer, Y.A., Vibration control of a cantilever beam subject to both external and parametric excitation, Applied Math. and Computation, 152, 611-619, 2004.
  • [17] EL-Serafi, S., Eissa, M., El-Sherbiny, H. and El-Ghareeb, T. H., On passive and active control of vibrating system, Int. Journal of Appl. Math., 18(4), 515-537, 2005.
  • [18] EL-Serafi, S., Eissa, M., El-Sherbiny, H. and El-Ghareeb, T.H., Comparison between passive and active control of non-linear dynamical system, Japan Journal of Ind. and Appl. Math., 23(2),139-161, 2006.
  • [19] Amer, Y.A., Vibration control of ultrasonic cutting via dynamic absorber, Chaos, Solutions & Fractals, 33 (2), 1703-1710, 2007.
  • [20] Amer, Y.A and EL-Sayed, A. T., Vibration suppression of non-linear system via nonlinear absorber, Comm. in Nonlinear Sci. and Numer. Simul., 3, 1948-1963, 2008.
  • [21] Amer, Y.A. and El emam, A.E., Vibrations of a Non-Linear Dynamical System with Time Varying Stiffness Subjected to Multi- Excitation Forces, Int. J. of Basic & Applied Sciences, 13(4),9-87,2013.
  • [22] Eissa, M., Kamel, M. and El-Sayed, A.T.,Vibration reduction of multi- parametric excited spring pendulum via a transversally tuned absorber, Non-linear Dynamics,61, 109-121, 2011.
  • [23] Eissa, M., Kamel, M. and El-Sayed, A.T.,Vibration reduction of nonlinear spring pendulum under multi external and parametric excitations via a longitudinal absorber, Meccanica,46, 325-340, 2011.
  • [24] El-Ganini, W. and El-Gohary, H.A., Vibration suppression via time delay absorber nonlinear differential equations, Adv. Theo. Appl. Mech., 4,49-67, 2011.
  • [25] El-Gohary, H.A. and El-Ganaini W.A.A., vibration suppression of a dynamical system to multi- parametric excitations via time-delay absorber, Applied Mathematical Modlelling,36, 35-45, 2012.

VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES

Yıl 2013, Cilt: 5 Sayı: 4, 1 - 15, 01.12.2013

Öz

The dynamical system with time varying stiffness subjected to multi excitation forces studied. The system is written as two degree of freedom consists of the main system and absorber. The multiple time scale perturbation method is applied to get the approximate solution up to the third approximation. The stability of the system at the simultaneous primary resonance is investigated using both frequency response equations and phase-plane methods. The effects of different parameters are studied numerically

Kaynakça

  • [1] Nayfeh, A.H. and Mook, D.T., Nonlinear Oscillations, New York: Wiley 1979.
  • [2] Nayfeh, A.H., Nonlinear Interactions, John Wiley Sons, Inc., New York, 2000.
  • [3] Jain, M.K., Numerical Solutions of Differential Equations, Wiley eastern limitation, 1984.
  • [4] Asfar, K.R., Nayfeh, A. H. and Mook, D.M., Response of self-excited two- degree-offreedom to multi-frequency excitations, J. of Sound and Vibration, 84(2), 199-221, 1982.
  • [5] Quein S.S., TuerK.L. and Golnaraghi M.F., “Regulation of a two-degree- of-freedom structure using internal resonance”, ASME J. of Dynamics Systems, Measurement and Control, 117, 117-251, 1995.
  • [6] Eissa, M., Dynamic and Resonance of Non-linear Mechanical Oscillator Subjected to Parametric and External Excitation, AMSE conference, Michigan, U.S.A, 1998.
  • [7] Queini, S.S. and Nayfeh, A.H., Single mode control of a cantilever beam under principal parametric excitation, J. of Sound and Vibration, 224(1), 33-47, 1999.
  • [8] Eissa, M., Vibration control of non-linear mechanical systems via neutralizer, Sci. Bull. Fac. Eng. Menofia University, No.18, July 1999.
  • [9] Pai, P.F. and Schilz, M.J., A refined nonlinear vibration absorber, Int. J. of Mech. Sci. 42, 537-560, 2000.
  • [10] Cuvalci, O., The effect of detuning parameters of the absorption region of a coupled system: numerical and experimental study, J. of Sound and vibration, 229(4), 837-857, 2000.
  • [11] Ji, J.C. and Hansen, C.H., Non-linear response of a post-buckled beam subject to a harmonic axial excitation, J. of Sound and Vibration, 237(2), 303-318, 2000.
  • [12] Ashour, O.N. and Nayfeh, A.H., Adaptive control of flexible structures using a nonlinear vibration absorber, Nonlinear Dynamics, 28, 309-322, 2002.
  • [13] Sayam, S., Donald, L.K. and Hanafy, M.O., Numerical simulations of cantilever beam response with saturation control and full modal coupling. Computers and structures, 81, 1499–1510, 2003.
  • [14] Song, Y., Sato, H., Iwata, Y. and Komatsuzaki, T., The response of a dynamic vibration absorber system with a parametrically excited pendulum, J. of Sound and Vibration, 259(4), 747–759, 2003.
  • [15] Attilio, M., Periodic and quasiperiodic motion for complex non-linear systems, Int. J. of Non-Linear Mech., 38, 575–584, 2003.
  • [16] Eissa, M. and Amer, Y.A., Vibration control of a cantilever beam subject to both external and parametric excitation, Applied Math. and Computation, 152, 611-619, 2004.
  • [17] EL-Serafi, S., Eissa, M., El-Sherbiny, H. and El-Ghareeb, T. H., On passive and active control of vibrating system, Int. Journal of Appl. Math., 18(4), 515-537, 2005.
  • [18] EL-Serafi, S., Eissa, M., El-Sherbiny, H. and El-Ghareeb, T.H., Comparison between passive and active control of non-linear dynamical system, Japan Journal of Ind. and Appl. Math., 23(2),139-161, 2006.
  • [19] Amer, Y.A., Vibration control of ultrasonic cutting via dynamic absorber, Chaos, Solutions & Fractals, 33 (2), 1703-1710, 2007.
  • [20] Amer, Y.A and EL-Sayed, A. T., Vibration suppression of non-linear system via nonlinear absorber, Comm. in Nonlinear Sci. and Numer. Simul., 3, 1948-1963, 2008.
  • [21] Amer, Y.A. and El emam, A.E., Vibrations of a Non-Linear Dynamical System with Time Varying Stiffness Subjected to Multi- Excitation Forces, Int. J. of Basic & Applied Sciences, 13(4),9-87,2013.
  • [22] Eissa, M., Kamel, M. and El-Sayed, A.T.,Vibration reduction of multi- parametric excited spring pendulum via a transversally tuned absorber, Non-linear Dynamics,61, 109-121, 2011.
  • [23] Eissa, M., Kamel, M. and El-Sayed, A.T.,Vibration reduction of nonlinear spring pendulum under multi external and parametric excitations via a longitudinal absorber, Meccanica,46, 325-340, 2011.
  • [24] El-Ganini, W. and El-Gohary, H.A., Vibration suppression via time delay absorber nonlinear differential equations, Adv. Theo. Appl. Mech., 4,49-67, 2011.
  • [25] El-Gohary, H.A. and El-Ganaini W.A.A., vibration suppression of a dynamical system to multi- parametric excitations via time-delay absorber, Applied Mathematical Modlelling,36, 35-45, 2012.
Toplam 25 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA66BY94TK
Bölüm Makaleler
Yazarlar

Amer Y.a. Bu kişi benim

Ahmed E.e. Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 5 Sayı: 4

Kaynak Göster

APA Y.a., A., & E.e., A. (2013). VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES. International Journal of Engineering and Applied Sciences, 5(4), 1-15.
AMA Y.a. A, E.e. A. VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES. IJEAS. Aralık 2013;5(4):1-15.
Chicago Y.a., Amer, ve Ahmed E.e. “VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES”. International Journal of Engineering and Applied Sciences 5, sy. 4 (Aralık 2013): 1-15.
EndNote Y.a. A, E.e. A (01 Aralık 2013) VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES. International Journal of Engineering and Applied Sciences 5 4 1–15.
IEEE A. Y.a. ve A. E.e., “VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES”, IJEAS, c. 5, sy. 4, ss. 1–15, 2013.
ISNAD Y.a., Amer - E.e., Ahmed. “VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES”. International Journal of Engineering and Applied Sciences 5/4 (Aralık 2013), 1-15.
JAMA Y.a. A, E.e. A. VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES. IJEAS. 2013;5:1–15.
MLA Y.a., Amer ve Ahmed E.e. “VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES”. International Journal of Engineering and Applied Sciences, c. 5, sy. 4, 2013, ss. 1-15.
Vancouver Y.a. A, E.e. A. VIBRATION CONTROL OF A NONLINEAR DYNAMICAL SYSTEM WITH TIME VARYING STIFFNESS SUBJECTED TO MULTI EXTERNAL FORCES. IJEAS. 2013;5(4):1-15.

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