In this paper, the transient wave propagation in a materially nonlinear beam is studied. Based on previous research, the geometric nonlinearity can be neglected in an intermediate strain regime. An equation of motion for a cubic material nonlinearity is derived. The alternating frequency-time finite element method (AFT-FEM) is applied to the beam model. Numerical simulations are conducted. Significant nonlinear behavior is observed in the response. Depending on the local nonlinear property of the material in the intermediate strain regime, the amplitude of the wave response can be influenced. The nonlinear properties can also influence the dispersive characteristics of the intrinsically dispersive beam model.
Transient Wave Propagation in a Materially Nonlinear Beam
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Liu, Y, & Dick, AJ. "Transient Wave Propagation in a Materially Nonlinear Beam." Proceedings of the ASME 2013 International Mechanical Engineering Congress and Exposition. Volume 4B: Dynamics, Vibration and Control. San Diego, California, USA. November 15–21, 2013. V04BT04A022. ASME. https://doi.org/10.1115/IMECE2013-64975
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