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Effect of Pressure Angle on Transmission Efficiency of Helical Gears

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<strong>Efficiency</strong><br />

Internati<strong>on</strong>al Journal <str<strong>on</strong>g>of</str<strong>on</strong>g> Innovative Technology and Exploring Engineering (IJITEE)<br />

ISSN: 2278-3075, Volume-3, Issue-2, July 2013<br />

100<br />

80 90<br />

Load Dependant<br />

Losses<br />

25 22.5 20<br />

<str<strong>on</strong>g>Pressure</str<strong>on</strong>g> <str<strong>on</strong>g>Angle</str<strong>on</strong>g><br />

Fig. 10 <str<strong>on</strong>g>Pressure</str<strong>on</strong>g> angle vs. <strong>Efficiency</strong> Helix angle – 15, Speed<br />

4400 rpm<br />

All the above graphs show a significant loss in efficiency<br />

as pressure angle decreases. This means that higher the<br />

pressure angle, higher the efficiency and lower the pressure<br />

angle, lower the efficiency. But as the pressure angle<br />

increases the tooth thickness decreases. Therefore high<br />

pressure angles can be used for moderately low torques and<br />

for heavy torques low pressure angle can be used.<br />

VII. CONCLUSION<br />

An experimental test matrix, which included different<br />

pressure angles and helix angles was defined and<br />

implemented for dip lubricated c<strong>on</strong>diti<strong>on</strong>s. These results<br />

comprised the database <str<strong>on</strong>g>of</str<strong>on</strong>g> helical gearbox and gear mesh<br />

power losses and efficiency. The effects <str<strong>on</strong>g>of</str<strong>on</strong>g> pressure angle as<br />

well as the effects <str<strong>on</strong>g>of</str<strong>on</strong>g> speed and torque <strong>on</strong> the gearbox<br />

mechanical power losses and gearbox mechanical efficiency<br />

were presented graphically and quantified. The study revealed<br />

nearly the same results as that <str<strong>on</strong>g>of</str<strong>on</strong>g> the previous study for heavy<br />

vehicles. The pressure angle and torque have the significant<br />

effect <strong>on</strong> helical gear power losses. As the pressure angle<br />

increases, the power losses get reduced because <str<strong>on</strong>g>of</str<strong>on</strong>g> the fact<br />

that as the pressure angle increases the tooth thickness<br />

decreases. As the torque increases the power losses also<br />

increases. An expected increase in metal-to-metal c<strong>on</strong>tact<br />

activity with increased torque can be pointed to <strong>on</strong>e <str<strong>on</strong>g>of</str<strong>on</strong>g> the<br />

reas<strong>on</strong>s for this. It is seen from the study that efficiency<br />

increases almost linearly with speed. This improvement in<br />

efficiency can be attributed directly to the fact that the<br />

asperity interacti<strong>on</strong>s are reduced with increased speed since<br />

the lubricant film thickness is increased.<br />

NOMENCLATURE<br />

Abbrevia<br />

ti<strong>on</strong>s<br />

ΔL(τ)<br />

FF(τ)<br />

TT(τ)<br />

ΔL(τ)<br />

z<br />

b<br />

mn<br />

p<br />

aw<br />

Φ<br />

Ψ<br />

da<br />

df<br />

dw<br />

Number <str<strong>on</strong>g>of</str<strong>on</strong>g> teeth Pini<strong>on</strong> / Gear<br />

Face width (Pini<strong>on</strong> / Gear)<br />

Normal module<br />

Circular pitch<br />

Center distance (working)<br />

<str<strong>on</strong>g>Pressure</str<strong>on</strong>g> angle<br />

Helix angle<br />

Tip diameter<br />

Root diameter<br />

Operating pitch diameter<br />

2.5<br />

5<br />

7.5<br />

VIII. ACKNOWLEDGMENT<br />

It gives me an immense pleasure to express my sincere and<br />

heartiest gratitude towards my guide. Pr<str<strong>on</strong>g>of</str<strong>on</strong>g>. Dr. Y. R. Kharde<br />

for his guidance, encouragement, moral support and affecti<strong>on</strong><br />

through the course <str<strong>on</strong>g>of</str<strong>on</strong>g> my work. He has proven to be an<br />

excellent mentor and teacher. I am especially appreciative to<br />

his willingness to listen and guide me to find the best soluti<strong>on</strong>,<br />

regardless <str<strong>on</strong>g>of</str<strong>on</strong>g> challenge.<br />

I am thankful to Pr<str<strong>on</strong>g>of</str<strong>on</strong>g>. Dhumal V. B., Principal, Pr<str<strong>on</strong>g>of</str<strong>on</strong>g>.<br />

Ingole M. W., Head <str<strong>on</strong>g>of</str<strong>on</strong>g> Mechanical Department, Amrutvahini<br />

polytechnic, Sangamner, for allowing me to c<strong>on</strong>duct this<br />

work.<br />

I am also thankful to Mr. Shriram Tatwawadi, Proprietor<br />

<str<strong>on</strong>g>of</str<strong>on</strong>g> Electr<strong>on</strong>ic Switches, K-8 MIDC, Ambad, Nasik for<br />

allowing me to use his set up <str<strong>on</strong>g>of</str<strong>on</strong>g> VFD and Torque Sensor.<br />

I am also thankful to all my friends and colleagues for their<br />

guidance and support.<br />

This work is also the outcome <str<strong>on</strong>g>of</str<strong>on</strong>g> the blessings, guidance<br />

and support <str<strong>on</strong>g>of</str<strong>on</strong>g> my parents and family members.<br />

Lastly, my cordial thanks to all who have c<strong>on</strong>tributed<br />

intellectually and materially in words and deeds for<br />

completi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> this work.<br />

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<str<strong>on</strong>g>Angle</str<strong>on</strong>g> <strong>Gears</strong>: Preliminary Testing Results,‖<br />

NASA/TM—2010-216251, Internati<strong>on</strong>al Design Engineering<br />

Technical C<strong>on</strong>ferences and Computers and Informati<strong>on</strong> in<br />

Engineering C<strong>on</strong>ference, 2010,pp.17-29.<br />

[2] Michlin, Y., Myunster, V., ―Determinati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> Power Losses in Gear<br />

Transmissi<strong>on</strong>s with Rolling and Sliding Fricti<strong>on</strong> incorporated,‖<br />

Mechanism and Machine Theory, 37, 2002, pp.167-174.<br />

[3] Xu, H., Kahraman, A., Anders<strong>on</strong>, N.E. and Maddock, D. ―Predicti<strong>on</strong><br />

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Mechanical Design, 129, 2007, pp.58-68.<br />

[4] S. Li, A. Vaidyanathan, J. Harianto and A. Kahraman, ―Influence <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

Design Parameters and Micro-geometry <strong>on</strong> Mechanical Power Losses<br />

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[5] Seetharaman and Kahraman, 2009, ―Load-Independent Spin Power<br />

Losses <str<strong>on</strong>g>of</str<strong>on</strong>g> a Spur Gear Pair: Model Formulati<strong>on</strong>,‖ ASME Journal <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

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[6] Shanming Luo and Anhua Chen ―C<strong>on</strong>straint analysis <str<strong>on</strong>g>of</str<strong>on</strong>g> pressure angle<br />

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[7] Changenet, C., and Velex, P., ―A Model for the Predicti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

Churning Losses in Geared Transmissi<strong>on</strong>s – Preliminary Results―,<br />

ASME Journal <str<strong>on</strong>g>of</str<strong>on</strong>g> Mechanical Design, 129(1), 2007,pp.128-133.<br />

[8] Heingartner, P., and Mba, D., ―Determining Power Losses in the<br />

<strong>Helical</strong> Gear Mesh,‖ Proceedings <str<strong>on</strong>g>of</str<strong>on</strong>g> the 2003 ASME Design<br />

Engineering Technical C<strong>on</strong>ferences ad Computers and Informati<strong>on</strong> in<br />

Engineering C<strong>on</strong>ference.2003,pp.127-141<br />

[9] Petry-Johns<strong>on</strong>, T., Kahraman, A., Anders<strong>on</strong>, N. E., and Chase, D. R.,<br />

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Journal Machine Design, 130, 2008, 062601,pp.01-10<br />

46

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