Abstract
In this paper, the forming principle, meshing features and tooth surface equation were introduced. And the modal parameters distribution of cylindrical gears with arcuate tooth trace was researched. The results show: 1. The modulus was the biggest impact factor for modal and natural frequency of cylindrical gears with arcuate tooth trace, then tooth width, and the radius of tooth line have the minimum influence; 2. When the modulus increased, natural frequency of cylindrical gears with arcuate tooth reduced rapidly; 3. When the tooth width increased, natural frequency of cylindrical gears with arcuate tooth has a tendency to rise except for first-order modal; 4. The influence of radius of tooth line can be basic ignored; 5. The second-order modal and third-order modal, fifth-order modal and sixth-order modal was very close. The research on cylindrical gears with arcuate tooth trace in this paper has a certain reference value on gear design and selection.
Highlights
Gear drive is widely used in mechanical equipment and has the characteristic of compact structure
Because of long contact line, high contact ratio, smooth transmission, high bearing capacity, good lubrication performance and a serial of advantages, cylindrical gears with arcuate tooth trace has been researched by many scholars all over the world [1-10]
The cylindrical gears with arcuate tooth trace can be processed by parallel linkage processing device as shown in Fig
Summary
Gear drive is widely used in mechanical equipment and has the characteristic of compact structure. Because of long contact line, high contact ratio, smooth transmission, high bearing capacity, good lubrication performance and a serial of advantages, cylindrical gears with arcuate tooth trace has been researched by many scholars all over the world [1-10]. Tseng has built mathematical model of arc gear, but not studied its bending characteristics with his partners and Wilcox et al have made different gears’ stress analysis by finite method, but they don’t research that how the important parameters such as tooth line radius influence [4-7]. How the modal distribution of cylindrical gears with curvilinear shaped teeth was researched. Based on the analysis data and fitting curve, find cylindrical gears with curvilinear shaped teeth modal (frequencies) distribution
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