Articles | Volume 24, issue 3
https://doi.org/10.5194/npg-24-455-2017
https://doi.org/10.5194/npg-24-455-2017
Research article
 | 
10 Aug 2017
Research article |  | 10 Aug 2017

Analysis of wave propagation in a discrete chain of bilinear oscillators

Maria S. Kuznetsova, Elena Pasternak, and Arcady V. Dyskin

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Cited articles

Chang, S.-P., Makris, N., Whittaker, A. S., and Thompson, A. C.: Experimental and analytical studies on the performance of hybrid isolation systems, Earthq. Eng. Struct. D., 31, 421–443, 2002.
De Freitas, M. S., Viana, R. L., and Grebogi, C.: Multistability, basin boundary structure, and chaotic behavior in a suspension bridge model, Int. J. Bifurcat. Chaos, 14, 927–950, 2004.
Dyskin, A. V., Pasternak, E., and Pelinovsky, E.: Periodic motions and resonances of impact oscillators, J. Sound Vib., 331, 2856–2873, 2012.
Dyskin, A. V., Pasternak, E., and Shufrin, I.: Structure of resonances and formation of stationary points in symmetrical chains of bilinear oscillators, J. Sound Vib., 333, 6590–6606, 2014.
Gavrilov, S. and Herman, G.: Wave propagation in a semi-infinite heteromodular elastic bar subjected to a harmonic loading, J. Sound Vib., 331, 4464–4480, 2012.
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Short summary
The process of wave propagation in the discrete chain of bilinear oscillators subjected to several types of external harmonic excitation has been analysed. The phenomenon of sign inversion of the displacement is observed for tension–compression excitation. The solution for wave propagation in a continuous 1-D bimodular rod is developed and the numerical results are compared showing good agreement.