Abstract
In order to facilitate an efficient and high fidelity analysis of nonlinear wave propagation, a modified Newton-Raphson iterative method is developed in order to improve the computational performance of the alternating wavelet-time finite element method (AWT-FEM). A non-dimensional model of a materially nonlinear rod is developed and a metric is constructed to quantify nonlinear dispersion in the response. A parametric study is conducted in order to investigate the influence of the nonlinear coefficient and other system parameters on the nonlinear behavior by using the modified AWT-FEM. An experimental investigation is performed by using a rod structure with a strong hardening-type material nonlinearity in order to verify the predicted phenomenon.
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Liu, Y., Dick, A.J., Dodson, J., Foley, J. (2016). Wave Propagation in a Materially Nonlinear Rod: Numerical and Experimental Investigations. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15221-9_17
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DOI: https://doi.org/10.1007/978-3-319-15221-9_17
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15220-2
Online ISBN: 978-3-319-15221-9
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