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【期刊论文】Bifurcation and Chaotic Motion of a Piecewise Linear Vibration System in Gear-Pairs
李以农, YINONG LI, LING ZHENG and LIN MI
International Journal of Gearing and Transmissions Issue No.3, 2001, pp. 126-133,-0001,():
-1年11月30日
In this paper, a gear-pair system involving backlash and time-dependent mesh stiffness is examined analytically in an effort to explain the complex behavior of this system. Firstly, the nonlinear dynamic model of a gear-pair system with a periodically time-varying stiffness function and a symmetric backlash is considered. According to this dynamic model, an approximate harmonic solution is obtained which yields mathematical conditions for the occurrence of non-linear behavior in the system response. The stability of the periodic solutions is investigated using Floquet theory. Then the behavior of periodic bifurcation and chaotic motion in the gear-pair system involving backlash and design load is investigated. In some typical parameter regions, the bifurcation diagrams, the chaotic time history and the Poincar
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