Transmission system is designed for the all-terrain vehicle consisting of continuously variable transmission, gearbox and drive shaft. A type of V-belt drive which shifts ratios in accordance with input speed and output torque has been successfully employed in the transmission for all-terrain vehicle. CVT is coupled with addendum modified dual stage helical torque reducer which amplifies the torque from the CVT and transmits it to the wheels through drive shaft. The design has evaluated using simulation software like Kissoft.
Introduction
I. INTRODUCTION
Considering all other transmission systems, gears are having their own advantage of constant velocity ratio of transmission. In a situation where pinion has to be designed with the number of teeth lesser than the minimum teeth required to avoid under cutting and interference, addendum modification can be adopted. Although the tooth profile of racks is straight, the tooth profile of involute gears differs depending on the number of teeth. Involute tooth profile is curvilinear but becomes straighter like the tooth profile of a rack, if the number of teeth is increased. When the number of teeth is increased, the tooth profile gets thicker at the tooth-root and can generate more strength. As for the tooth profile of a 10-teeth gear, it is gouged at the tooth-root and under-cutting occurs. As for the tooth profile of a 10-teeth gear, it is gouged at the tooth-root and under-cutting occurs.
II. COMPARISON OF TOOTH PROFILES
By applying a positive correction and increasing the tip diameter and thickness, 10-teeth gears can also obtain the strength of a 200-teeth gear (z=250).
If profile shifting (Profile Shift coefficient x = +0.5) is applied, the tooth profile is changed, and the tooth thickness increases. Outside diameter (Tip diameter) also becomes larger. It is also notable that positive correction is effective to prevent undercut.
Comparison with Positive Shifted Tooth Profile
There are two type of addendum modification, positive profile shift and negative profile shift. It is seen that by positive profile shift of gears there is a significant increase in the working pressure angle. By applying a positive correction and increasing the tip diameter and thickness, 10-teeth gears can also obtain the strength of a 100-teeth gear (z=200).
III. CHARACTERISTIC OF PROFILE SHIFTED GEARS
There are limits in profile shifting, for both positive correction and negative correction.
A. Positive Correction
Forms a tooth profile that has more bending strength, as the tooth thickness becomes thicker at the root.
Contact ratio becomes smaller, as the working pressure angle becomes larger by the increase of the center distance.
Tooth tip might be sharpening if more shifting is applied, the tooth width at the tip gets smaller, and the tooth tip becomes sharpen if it exceeds the limit in shifting.
B. Negative Correction
Forms a tooth profile that has less bending strength, as the tooth thickness becomes thinner at the root.
Contact ratio becomes larger, as the working pressure angle becomes smaller by the decrease of the centre distance.
Undercut may occur, more shifting is applied, the tooth width at root gets smaller, undercut occurs if it exceeds the limit in shifting.
Fig. 4 Comparison of Negative Shifting and Positive Shifting [3]
C. Undercutting At Roots While Manufacturing
There is both positive and negative shifting. There will be change in tooth thickness; In the case of positive shifting (+), tooth thickness will become thicker, while in the case of negative shifting (-), it will become thinner. The tooth depth will not change.
Conclusion
Hence it can be concluded that the modified addendum gear avoids the undercutting of the teeth when the number of teeth is less. Adjust the distance between the centre of gears. Pinion wears out quickly than the gear in larger gear ratio. Feasible to compare the strengths of gear and pinion by shifting profile. Improve (shifting) of the pinion positive and negative shifting on Gear thus resulting in more thickness of pinion and thinner Gear and so is improved wear life. Thus, making a compact gearbox for All-Terrain Vehicle by reducing the center distance between the gear’s pairs.
References
[1] Thomas D. Gillespie “Fundamentals of Vehicle Dynamics”, Society of Automotive Engineers, 1992, pp 1-45
[2] V.B Bhandari, “Design of machine elements” ,3rd Edition, Mc Graw-Hill Education, 2010, pp.76-184; 330-356; 564-601; 646-711.
[3] Richard G. Budnyas, J. Keith Nisbett, Shigleys “Mechanical Engineering Design”,10th Edition, Mc Graw-Hill Education, 2015, pp 665-772.
[4] Reza.N. Jazar, “Vehicle Dynamics Theory and Application”, Springer, 2008, pp 37-209 Papers from Journal or Transactions:
[5] Venkata Ramana Raju Penumatsa, Study of Impact Loading on Helical Gears using Finite Element Analysis, SAE Technical Paper, 2013, pp.1-8.
[6] Ju Seok Kang1 and Yeon-Sun Choi2, “Optimization of helix angle for helical gear system”, Springer Journal of Mechanical Science and Technology, 2008, pp.1-10
Reports, Handbooks:
[1] Stephen P. Radzevich, “Handbook of Practical Gear Design and Manufacture”, 2nd edition, CRC Press Taylor & Francis Group, 2012, pp. 243-330; 371-406; 591-610.
[2] Kornack and P. Rakic, “Cell Proliferation without Neurogenesis in Adult Primate Neocortex,” Science, vol. 294, Dec. 2001, pp. 2127-2130, doi:10.1126/science.1065467.
[3] M. Young, The Technical Writer’s Handbook. Mill Valley, CA: University Science, 1989.