Abstract
AbstractThe escape dynamics of a damped system of two coupled particles in a truncated potential well under biharmonic excitation are investigated. It is assumed that excitation frequencies are tuned to the modal natural frequency of the relative motion and to the modal frequency of the centre of mass on the bottom of the potential well. Although the escape is essentially a non-stationary process, the critical force strongly depends on the stationary amplitude of the relative vibrations within the pair of masses. The characteristic escape curve for the critical force moves up on the frequency-escape threshold plane with increasing relative vibrations, which can be interpreted as a stabilizing effect due to the high-frequency excitation. To obtain the results, new modelling techniques are suggested, including the reduction in the effect of the high-frequency excitation using a probability density function-based convolution approach and an energy-based approach for the description of the evolution of the slow variables. To validate the method, the coupled pair of particles is investigated with various model potentials.
Funder
Karlsruher Institut für Technologie (KIT)
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering
Reference29 articles.
1. Landau, L.D., Lifshitz, E.M.: Mechanics, 3rd edn. Butterworth, Herrmann (1976)
2. Thompson, J.M.T.: Chaotic phenomena triggering the escape from a potential well. In: Szemplinska-Stupnicka, W., Troger, H. (eds.) Engineering Applications of Dynamics of Chaos, CISM Courses and Lectures, vol. 139, pp. 279–309. Springer, Brelin (1991)
3. Virgin, L.N., Plaut, R.H., Cheng, C.-C.: Prediction of escape from a potential well under harmonic excitation. Int. J. NonLinear Mech. 27(3), 357–365 (1992). https://doi.org/10.1016/0020-7462(92)90005-R
4. Virgin, L.N.: Approximate criterion for capsize based on deterministic dynamics. Dyn. Stab. Syst. 4, 56–70 (1989)
5. Sanjuan, M.A.F.: The effect of nonlinear damping on the universal escape oscillator. Int. J. Bifurc. Chaos 9, 735–744 (1999)
Cited by
3 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. Escape of a particle from two-dimensional potential well;Nonlinear Dynamics;2023-12-26
2. Dynamics of forced escape from asymmetric truncated parabolic well;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-02-26
3. Escape of two-DOF dynamical system from the potential well;Nonlinear Dynamics;2022-10-25