|
Theoretical and Mathematical Physics
Experimental and theoretical investigation of an oscillator with collisions
V. V. Narozhnov Institute of Applied Mathematics and Automation, Nalchik
Abstract:
The results of a study of a nonlinear mechanical oscillator with elastic impacts are presented. The experiment was carried out using an electromechanical impact oscillator. The theoretical model is based on the equations of motion, taking into account the elastic force, which is calculated under the Hertz contact theory. It is shown that bifurcations and attractors of the “stable focus” and “limit cycle” types can occur for the impact oscillator. Fourier filtering was used to analyze the spectral characteristics of the signals.
Keywords:
nonlinear oscillator, elastic impact, Hertz contact theory, bifurcations in impact systems, Fourier filtering.
Received: 15.04.2019 Revised: 19.02.2020 Accepted: 27.04.2020
Citation:
V. V. Narozhnov, “Experimental and theoretical investigation of an oscillator with collisions”, Zhurnal Tekhnicheskoi Fiziki, 90:10 (2020), 1672–1676; Tech. Phys., 65:10 (2020), 1600–1604
Linking options:
https://www.mathnet.ru/eng/jtf5179 https://www.mathnet.ru/eng/jtf/v90/i10/p1672
|
Statistics & downloads: |
Abstract page: | 53 | Full-text PDF : | 16 |
|