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International Applied Mechanics

, Volume 50, Issue 4, pp 476–483 | Cite as

Application of the Amplitude-Frequency Formulation to a Nonlinear Vibration System Typified by a Mass Attached to a Stretched Wire

  • M. Akbarzade
  • A. Farshidianfar
Article

He’s amplitude–frequency formulation is applied to study the periodic solutions of a strongly nonlinear system. This system corresponds to the motion of a mass attached to a stretched wire. The usefulness and effectiveness of the proposed technique is illustrated. The results are compared with exact solutions and those obtained by the harmonic balance. Approximate frequencies are valid in the entire range of vibration amplitudes. The agreement between the approximate and exact frequencies is demonstrated and discussed

Keywords

nonlinear vibration system amplitude–frequency formulation periodic solution angular frequencies 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Faculty of EngineeringFerdowsi University of MashhadMashhadIran

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