排序方式: 共有21条查询结果,搜索用时 31 毫秒
1.
S. Sabarathinam K. Thamilmaran L. Borkowski P. Perlikowski P. Brzeski A. Stefanski T. Kapitaniak 《Communications in Nonlinear Science & Numerical Simulation》2013,18(11):3098-3107
The dynamics of two coupled, dissipatively perturbed, near-integrable Hamiltonian, double-well Duffing oscillators has been studied. We give numerical and experimental (circuit implementation) evidence that in the case of small positive or negative damping there exist two different types of transient chaos. After the decay of the transient chaos in the neighborhood of chaotic saddle we observe the transient chaos in the neighborhood of unstable tori. We argue that our results are robust and they exist in the wide range of system parameters. 相似文献
2.
Mnich Konrad Lazarek Mateusz Stefanski Andrzej Perlikowski Przemyslaw 《Meccanica》2022,57(8):1955-1973
Meccanica - This paper presents the experimental identification of the friction force in the inerter with constant and variable inertance. The change of intertance is possible due to the... 相似文献
3.
In this paper, we analyze the dynamics of tuned mass dampers with inerters. In the beginning, we describe the influence of inertance value with respect to the overall mass of the damping device. For further analysis, we pick three practically significant cases—each corresponding to different composition of tuned mass damper inertia. Then, we focus on the effects caused by different types of inerters’ nonlinearities. Viscous damping, dry friction and play in the inerter gears influence the dynamics of the tuned mass damper and affect its damping efficiency. Finally, we examine the dynamics of the model that incorporates all of these factors and propose its simplification which is genuine but more convenient. Our results show how to adjust the inerter type and the parameters depending on our needs and intended application. The knowledge on how to model the behavior of tuned mass dampers with inerters will be of practical use to engineers working with mechanical dampers. 相似文献
4.
M. Kapitaniak P. Perlikowski T. Kapitaniak 《Communications in Nonlinear Science & Numerical Simulation》2013,18(8):2088-2096
The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous states always co-exist. The complete bifurcational scenario leading from synchronous to asynchronous motion is shown. We argue that our results are robust as they exist in the wide range of the system parameters. 相似文献
5.
Nataliya V. Stankevich Anton Dvorak Vladimir Astakhov Patrycja Jaros Marcin Kapitaniak Przemysław Perlikowski Tomasz Kapitaniak 《Regular and Chaotic Dynamics》2018,23(1):120-126
The dynamics of two coupled antiphase driven Toda oscillators is studied. We demonstrate three different routes of transition to chaotic dynamics associated with different bifurcations of periodic and quasi-periodic regimes. As a result of these, two types of chaotic dynamics with one and two positive Lyapunov exponents are observed. We argue that the results obtained are robust as they can exist in a wide range of the system parameters. 相似文献
6.
P. Koluda P. Perlikowski Krzysztof Czolczynski T. Kapitaniak 《The European physical journal. Special topics》2014,223(4):613-629
We consider the synchronization of two self-excited double pendula. We show that such pendula hanging on the same beam can have four different synchronous configurations. Our approximate analytical analysis allows us to derive the synchronization conditions and explain the observed types of synchronization. We consider an energy balance in the system and describe how the energy is transferred between the pendula via the oscillating beam, allowing thus the pendula synchronization. Changes and stability ranges of the obtained solutions with increasing and decreasing masses of the pendula are shown using path-following. 相似文献
7.
P. Jaros T. Kapitaniak P. Perlikowski 《The European physical journal. Special topics》2016,225(13-14):2623-2634
In this paper we consider dynamics of three unidirectionally coupled Duffing oscillators with nonlinear coupling function in the form of third degree polynomial. We focus on the influence of the coupling on the occurrence of different bifurcation’s scenarios. The stability of equilibria, using Routh-Hurwitz criterion, is investigated. Moreover, we check how coefficients of the nonlinear coupling influence an appearance of different types of periodic solutions. The stable periodic solutions are computed using path-following. Finally, we show the two parameters’ bifurcation diagrams with marked areas where one can observe the coexistence of solutions. 相似文献
8.
P. Brzeski P. Perlikowski S. Yanchuk T. Kapitaniak 《Journal of sound and vibration》2012,331(24):5347-5357
We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of the pendulum has been performed. We identify the areas with low number of coexisting attractors in the parameter space as the coexistence of different attractors has a significant impact on the practical usage of the proposed system as a tuned mass absorber. 相似文献
9.
We consider the dynamics of a number of externally excited chaotic oscillators suspended on an elastic structure. We show that for the given conditions of oscillations of the structure, initially uncorrelated chaotic oscillators become periodic and synchronous in clusters. In the periodic regime, we have observed multistability as two or four different attractors coexist in each cluster. A mismatch of the excitation frequency in the oscillators leads to the beating-like behaviour. We argue that the observed phenomena are generic in the parameter space and independent of the number of oscillators and their location on the elastic structure. 相似文献
10.
B. Witkowski P. Perlikowski A. Prasad T. Kapitaniak 《The European physical journal. Special topics》2014,223(4):707-720
The dynamics of co- and counter-rotating coupled spherical pendula (two lower pendula are mounted at the end of the upper pendulum) is considered. Linear mode analysis shows the existence of three rotating modes. The linear modes allow us to understand the nonlinear normal modes, which are visualized in frequency-energy plots. With the increase of energy in one mode we observe a symmetry breaking pitchfork bifurcation. In the second part of the paper we consider energy transfer between pendula having different energies. The results for co-rotating (all pendula rotate in the same direction) and counter-rotating motion (one of lower pendula rotates in the opposite direction) are presented. In general, the energy fluctuations in counter-rotating pendula are found to be higher than in the co-rotating case. 相似文献