DESIGN AND MANUFACTURING PROCESSES AND LOAD CARRYING CAPACITY OF CYLINDRICAL GEAR PAIRS WITH 2 TO 4 PINION TEETH FOR HIGH GEAR RATIOS : 2nd Report, Bending and Twisting Deflections of Pinion and Surface Durability of Gear Pairs with 4 Pinion Teeth

This study presents a dynamic model of helical gears for analyzing the effect of pinion-shaft flexibility on the dynamic behavior of helical gears. In the analysis, the time-varying mesh stiffness is determined in relation with the geometry of the gear pair and incorporates the deflection of the pinion–shaft. A comparison analysis is presented for the dynamic transmission error response of gear pairs supported with a rigid and a flexible shaft system. The results show that the pinion-shaft deflection must be included in the dynamic analysis since they can strongly affect the dynamic characteristics of helical gear pairs.

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“…The numerical results obtained with Eq. ( 5) are in good agreement with the ones estimated by Ishibashi [5].…”

Section: Plane Of Actionsupporting

confidence: 90%

The Influence of the Pinion-Shaft Deflection on the Dynamic Characteristics of Helical Gear Pairs

Atanasiu

Oprisan

Leohchi

2014

AMM

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“…Substituting equation (25) into equation (18), the equation of the cycloid rack tooth profiles can be obtained. Then the contact path and conjugation curve can be deduced.…”

Section: Rack and Pinion Meshingmentioning

confidence: 99%

“…In particular, restrictions of tooth profile curve choice in some special applications, for example, involute gear pairs with 2-6 pinion teeth which are called a few teeth gear for higher gear ratios suffer low load carrying capacity and poor meshing performance. Ishibashi and Yoshino 18 proposed using double circular arc tooth profiles to replace involute tooth profiles gears with 3-5 pinion teeth and conducted the load-carrying capacity tests. The experiment results clearly showed that the carrying capacity of the double circular arc gear is larger than the involute gears of the same size.…”

Section: Introductionmentioning

confidence: 99%

The generation principle, mathematical models of variable involute, and its application

Sun

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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A novel generation method of tooth profile curve is presented in this paper. It introduces the concept of a variable involute whose curve is generated by the generating line rolling and slipping on the base circle simultaneously. The generation principle of variable involute is described and the equation of variable involute is deduced. Then, equations are established to synthesize a conjugate profile for the gear teeth, which include some restrictions to keep the involute meshing properties. With a selectable and arbitrary relative slippage which is defined as a slipping function, the variable involute has desirable properties of controllability and flexibility. By constructing different slipping functions, involute, cycloid and circular-arc gears can be expressed into one unified form. The freedom and unified form of variable involute suggests the possibility of optimal conjugation design. An application example of gear pair with a few teeth is presented, aiming at overcoming the shortcomings of involute gear pair in load-carrying capacity and meshing performance, and its simulation analysis is conducted. Through comparative analysis with the involute gear, the results demonstrate that the variable involute gear pair with a few teeth has larger contact ratio as well as load-carrying capacity, and engagement performance has been effectively improved.

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DESIGN AND MANUFACTURING PROCESSES AND LOAD CARRYING CAPACITY OF CYLINDRICAL GEAR PAIRS WITH 2 TO 4 PINION TEETH FOR HIGH GEAR RATIOS : 2nd Report, Bending and Twisting Deflections of Pinion and Surface Durability of Gear Pairs with 4 Pinion Teeth

Cited by 2 publications

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The Influence of the Pinion-Shaft Deflection on the Dynamic Characteristics of Helical Gear Pairs

The Influence of the Pinion-Shaft Deflection on the Dynamic Characteristics of Helical Gear Pairs

The generation principle, mathematical models of variable involute, and its application

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