MESHING STIFFNESS OF THE INNER PARALLEL MOVING GEAR PAIR AND BIFURCATION CHARACTERISTICS OF THE SYSTEM

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Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (5) : 118-122.

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MESHING STIFFNESS OF THE INNER PARALLEL MOVING GEAR PAIR AND BIFURCATION CHARACTERISTICS OF THE SYSTEM

CHENG Aiming;ZHANG Chunlin;ZHAO Ziqiang

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Abstract

It analysed the meshing stiffness of the inner meshing gear pair with fixed shaft and small tooth number difference， and obtained the frequency spectrum properties by FFT, which indirectly show the frequency spectrum properties of the inner parallel moving gear pair. Basing on that and considering the gear backlash, it presented the driving dynamics equations with multi-tooth meshing. Then, using classical explicit 4-order Rouge-kutta method, it solved the equation with different parameter and gained the parameter bifurcation figure which can show the effect of the different parameter. These results provides theory basis for designing inner parallel gear pair.

Key words

inner parallel moving gear pair / time varying mesh stiffness / gear backlash / dynamics / bifurcation / chaos

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CHENG Aiming;ZHANG Chunlin;ZHAO Ziqiang. MESHING STIFFNESS OF THE INNER PARALLEL MOVING GEAR PAIR AND BIFURCATION CHARACTERISTICS OF THE SYSTEM[J]. Journal of Vibration and Shock, 2010, 29(5): 118-122