Energy transport in one-dimensional oscillator arrays with hysteretic damping
Bountis T. Kaloudis K. Shena J. Skokos C. Spitas C.
April 2022Springer Science and Business Media Deutschland GmbH
European Physical Journal: Special Topics
2022#231Issue 3225 - 236 pp.
Energy transport in one-dimensional oscillator arrays has been extensively studied to date in the conservative case, as well as under weak viscous damping. When driven at one end by a sinusoidal force, such arrays are known to exhibit the phenomenon of supratransmission, i.e. a sudden energy surge above a critical driving amplitude. In this paper, we study one-dimensional oscillator chains in the presence of hysteretic damping, and include nonlinear stiffness forces that are important for many materials at high energies. We first employ Reid’s model of local hysteretic damping, and then study a new model of nearest neighbor dependent hysteretic damping to compare their supratransmission and wave packet spreading properties in a deterministic as well as stochastic setting. The results have important quantitative differences, which should be helpful when comparing the merits of the two models in specific engineering applications.
Text of the article Перейти на текст статьи
Center for Integrable Systems, P.G. Demidov Yaroslavl State University, Yaroslavl, Russian Federation
Department of Mechanical and Aerospace Engineering, Nazarbayev University, Astana, Kazakhstan
National University of Science and Technology “MISiS”, Moscow, Russian Federation
Nonlinear Dynamics and Chaos Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town, South Africa
Center for Integrable Systems
Department of Mechanical and Aerospace Engineering
National University of Science and Technology “MISiS”
Nonlinear Dynamics and Chaos Group
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026