Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system

Luo, Albert C. J.; Rapp, Brandon M.

doi:10.1016/j.nonrwa.2008.10.029

Cited by 12 publications

(2 citation statements)

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“…Luo and Rapp [1,2] investigated different periodic motions in a periodic force discontinuous system. The switching boundary in the aforementioned papers was supposed to be an inclined line or a parabolic curve and the friction force acting on the oscillator was not considered.…”

Section: Introductionmentioning

confidence: 99%

“…Some researchers have obtained some results by using the theory of discontinuous dynamical systems developed by Luo. In 2009, Luo and Rapp [1] investigated the flow switchability and periodic motions in a periodically forced, discontinuous dynamical system with switching control law of an inclined line. In the next year, Luo and Rapp [2] studied the motions and switchability of an oscillator in a periodically forced, discontinuous system with switching control law of a parabolic boundary.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Discontinuous Dynamical Behaviors of a Friction-Induced Oscillator with an Elliptic Control Law

Fan

Liu

et al. 2018

Mathematical Problems in Engineering

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This paper develops the passability conditions of flow to the discontinuous boundary and the sticking or sliding and grazing conditions to the separation boundary in the discontinuous dynamical system of a friction-induced oscillator with an elliptic control law and the friction force acting on the mass through the analysis of the corresponding vector fields and -functions. The periodic motions of such a discontinuous system are predicted analytically through the mapping structure. Finally, the numerical simulations are given to illustrate the analytical results of motion for a better understanding of physics of motion in the mass-spring-damper oscillator.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%