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Original Articles

Active control of nonlinear forced vibration in a flexible beam using piezoelectric material

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Pages 311-317 | Received 16 May 2013, Accepted 24 Oct 2014, Published online: 03 Nov 2015

References

  • A. Maccari, Vibration control for the primary resonance of a cantilever beam by a time delay state feedback, J. Sound Vib., vol. 259, no. 2, pp. 241–251, 2003.
  • A.F. El-Bassiouny, Single-mode control and chaos of cantilever beam under primary and principal parametric excitations, Chaos, Solitons Fract., vol. 30, no. 5, pp. 1098–1121, 2006.
  • G. Yao and F.M. Li, Chaotic motion of a composite laminated plate with geometric nonlinearity in subsonic flow, Int. J. Non Linear Mech., vol. 50, pp. 81–90, 2013.
  • F.M. Li and C.C. Liu, Parametric vibration stability and active control of nonlinear beams, Appl. Math. Mech., vol. 33, no. 11, pp. 1381–1392, 2012.
  • M. Rafiee, S. Mareishi, and M. Mohammadi, An investigation on primary resonance phenomena of elastic medium based single walled carbon nanotubes, Mech. Res. Commun., vol. 44, pp. 51–56, 2012.
  • A. Shooshtari and M. Rafiee, Nonlinear forced vibration analysis of clamped functionally graded beams, Acta Mech., vol. 221, no. 1–2, pp. 23–38, 2011.
  • S.A. Emam and A.H. Nayfeh, On the nonlinear dynamics of a buckled beam subjected to a primary-resonance excitation, Non Linear Dyn., vol. 35, no. 1, pp. 1–17, 2005.
  • A. Abe, Y. Kobayashi, and G. Yamada, Two-mode response of simply supported, rectangular laminated plates, Int. J. Non Linear Mech., vol. 33, no. 4, pp. 675–690, 1998.
  • W. Zhang, Global and chaotic dynamics for a parametrically excited thin plate, J. Sound Vib., vol. 239, no. 5, pp. 1013–1036, 2001.
  • Y.Q. Tang and L.Q. Chen, Nonlinear free transverse vibrations of in-plane moving plates: Without and with internal resonances. J. Sound Vib., vol. 330, no. 1, pp. 110–126, 2011.
  • M.K. Singha and R. Daripa, Nonlinear vibration and dynamic stability analysis of composite plates, J. Sound Vib., vol. 328, no. 4–5, pp. 541–554, 2009.
  • M. Amabili, Nonlinear vibrations of angle-ply laminated circular cylindrical shells: Skewed modes, Compos. Struct., vol. 94, no. 12, pp. 3697–3709, 2012.
  • M. Amabili, A comparison of shell theories for large-amplitude vibrations of circular cylindrical shells: Lagrangian approach, J. Sound Vib., vol. 264, no. 5, pp. 1091–1125, 2003.
  • M. Amabili, Nonlinear vibrations of circular cylindrical shells with different boundary conditions, AIAA J., vol. 41, no. 6, pp. 1119–1130, 2003.
  • F.M. Li and G. Yao, 1/3 Subharmonic resonance of a nonlinear composite laminated cylindrical shell in subsonic air flow, Compos. Struct., vol. 100, pp. 249–256, 2013.
  • Y. J. Shen, S.P. Yang, H.J. Xing, and G.S. Gao, Primary resonance of Duffing oscillator with fractional-order derivative, Commun. Non Linear Sci. Numer. Simul., vol. 17, no. 7, pp. 3092–3100, 2012.
  • H. Hu, E.H. Dowell, and L.N. Virgin, Resonances of a harmonically forced Duffing oscillator with time delay state feedback, Non Linear Dyn., vol. 15, no. 4, pp. 311–327, 1998.

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