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Bifurcation and chaos analysis of a spur gear pair system with fractal gear backlash
Chaos, Solitons and Fractals, 2021Abstract The dynamic characteristics of a spur gear pair system with two kinds of gear backlash are studied, in which the modeling of gear backlash is emphasized. Meanwhile, the sliding friction force is derived. On this basis, a torsional dynamic model is established.
Yangshou Xiong, Zhenbang Cheng
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Research on gears’ dynamic performance influenced by gear backlash based on fractal theory
Applied Surface Science, 2014Abstract Gear backlash has an import influence on gear dynamics and due it has a strong non-linear character, so its effect on the gear dynamics is very complex. In order to get reasonable and precise dynamic analytic result, the fractal theory is employed here to express the backlash instead of the existed way of setting backlash as a fixed value or
, Hua Zhai
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A New Backlash and Gear Play Model with Friction
2019 IEEE International Conference on Mechatronics (ICM), 2019Despite its significance, only few mathematical models for backlash and gear play have been published. This contribution discusses the most notable modeling approaches in current literature, and employs them to simulate the drive line of a test bed that was intentionally equipped with a pre-designed backlash spot.
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Routes to chaos in a geared system with backlash
The Journal of the Acoustical Society of America, 1990A lumped parameter torsional-bending model of a spur gear pair with backlash and time-invariant mesh stiffness is used to examine chaos. It can be shown that chaos typically exists in a lightly loaded and lightly damped gear pair when excited by the static transmission error.
Ahmet Kahraman, Raj Singh
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