Bifurcation phenomena and statistical regularities in dynamics of forced impacting oscillator-Reference-Cited by-同舟云学术

Bifurcation phenomena and statistical regularities in dynamics of forced impacting oscillator

Published:2019-10-19 Issue:3 Volume:98 Page:1795-1806
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Skurativskyi Sergii^ORCID,Kudra Grzegorz^ORCID,Witkowski Krzysztof^ORCID,Awrejcewicz Jan^ORCID

Abstract

Abstract The paper is devoted to the study of harmonically forced impacting oscillator. The physical model for oscillator is a cart on a guide connected to the support with springs and excited by the stepper motor. The support also is provided with limiter of motion. The mathematical model for this system is defined with the second-order piecewise smooth differential equation. Model’s nonlinearity is connected with the incorporation of dry friction and generalized Hertz contact law. Analyzing the classical Poincare sections and inter-impact sequences obtained experimentally and numerically, the bifurcations and statistical properties of periodic, multi-periodic, and chaotic regimes were examined. The development of impact-adding regime as a new nonlinear phenomenon when the forcing frequency varies was observed.

Funder

Narodowe Centrum Nauki

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-019-05286-x.pdf

Reference35 articles.

1. Awrejcewicz, J., Lamarque, C.-H.: Bifurcation and Chaos in Nonsmooth Mechanical Systems. World Scientific, London (2003)

2. Leine, R.I., Nijmeijer, H.: Dynamics and Bifurcations of Non-smooth Mechanical Systems. Springer, Berlin (2004)

3. Casini, P., Giannini, O., Vestroni, F.: Experimental evidence of non-standard bifurcations in non-smooth oscillator dynamics. Nonlinear Dyn. 46, 259–272 (2006)

4. Mann, B.P., Carter, R.E., Hazra, S.S.: Experimental study of an impact oscillator with viscoelastic and Hertzian contact. Nonlinear Dyn. 50, 587–596 (2007)

5. Alzate, R., di Bernardo, M., Montanaro, U., Santini, S.: Experimental and numerical verification of bifurcations and chaos in cam-follower impacting systems. Nonlinear Dyn. 50, 409–429 (2007)

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A data-driven technique for discovering the dynamical system with rigid impact characteristic;Journal of Sound and Vibration;2024-09

2. Data-Driven Initial Gap Identification of Piecewise-Linear Systems Using Sparse Regression and Universal Approximation Theorem;Journal of Computational and Nonlinear Dynamics;2024-05-13

3. Parametric Vibrations of a System of Oscillators Connected with Periodically Variable Stiffness;Springer Proceedings in Mathematics & Statistics;2024

4. Nonlinear and chaotic dynamics of a vibratory conveying system;Nonlinear Dynamics;2023-03-23

5. Multiformity and Evolution Characteristics of Periodic Motions in Mechanical Vibration Systems with Clearances;Journal of Vibration Engineering & Technologies;2022-11-27