Chaotic Vibration of the First Mode of a Nonlinear Viscoelastic Beam under Moving Mass Excitation
نویسندگان
چکیده
This paper presents chaotic behavior of a nonlinear viscoelastic beam under a moving mass interaction. Considering the stretching effect which is modeled by the Lagrangian strain theory and using linear Kelvin-Voigt model to constitute viscoelastic behavior of the beam, the governing equations of transverse vibration is derived. Then Galerkin truncation is applied to find the ordinary differential equation of the first mode vibration of the beam. Solving the single-mode governing equation of the beam indicates that different nonlinear phenomena from regular to chaotic responses appear in the beam vibrations for different values of moving mass. Chaotic behavior of the beam is numerically examined through Poincare map and calculating the Lyapunov exponent of the system time series.
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