Analysis of Discontinuous Dynamical Behaviors of a Friction-Induced Oscillator with an Elliptic Control Law
2018 ◽
Vol 2018
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pp. 1-33
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Keyword(s):
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 M through the analysis of the corresponding vector fields and G-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.
2017 ◽
Vol 12
(6)
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2016 ◽
Vol 26
(13)
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pp. 1650224
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2021 ◽
Vol 10
(2)
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pp. 289-309
2020 ◽
Vol 4
(4)
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pp. 377-388
Keyword(s):
2021 ◽
Vol 31
(04)
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pp. 2150063
2009 ◽
Vol 10
(5)
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pp. 3028-3044
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