Research Article · Civil, Mechanical & Mfg. · Volume 3, Issue 4 · Apr 2018 · Pages 83–89
Estimation and Validation of Highest Point Single Tooth Contact in Spur Gears using Spreadsheet Application
K. M. Abubacker, V. Suresh Babu
- K. M. Abubacker: Department of Mechanical and Industrial Engineering, Caledonian College of Engineering, Seeb, Sultanate of Oman.
- V. Suresh Babu: Department of Mechanical and Industrial Engineering, Caledonian College of Engineering, Seeb, Sultanate of Oman.
Abstract
Gear is one of the most critical components widely used in the transmission of motion and power between two shafts. During motion, the gears are instantaneously loaded which develops bending stress at the root of the gear. The loading point is termed to be Highest Point Single Tooth Contact (HPSTC) and Lowest Point Single Tooth Contact (LPSTC). HPSTC is the most critical loading point in any gear. While a designer analyses a gear, it is essential to determine this instantaneous loading point (HPSTC, LPSTC) for the purpose of finding out the induced stress on the gear tooth. Moreover, this point is so important that it determines the bending stress at the root fillet portion of the gear. It is known fact that identification of these points involves many steps with huge ream of calculations. The present research work involves estimation of radius for Highest Point Single Tooth Contact using Spreadsheet application. This works for different range of input parameters like module, number of teeth, pressure angle etc., For this purpose, a customized spreadsheet is developed involving gear formula and all calculation steps. Two typical case studies were conducted using few specific parameters. The calculated outputs from the spreadsheets were compared with the available results of existing studies. It was noted that there were no variations notified in the calculated results, which indicates the validation of the current work. With addition of few formula and steps, this work can be extended to carryout bending stress analysis based on Lewis approach with AGMA standards. Further the study can be incorporated in ANSYS mechanical APDL.
Keywords
Highest Point Single Tooth Contact; Lowest Point Single Tooth Contact; Base root critical
References
- AGMA 933 -B-03. Basic Geometry . American Gear Manufacturers Association. 2003.
- Fred P . Calcul ating the inverse of an involute, Gear solutions. 2006; 44-8.
- Drago R J. Fundamentals of Gear Design, Division of Reed Publishing Inc. Butterworth Publishers. USA, 1998.
- Shigley, J.E., Mischke, C.R. and Budynas, R.G. Mechanical Engineering Design, Seventh Edition. McGraw -Hill Companies Inc. New York. 2004.
- Topakci M, Celik HK, Yilmaz D, Akinci I. Stress analysis on transmission gears of a rotary tiller using finite element method. Mediterrranean Agricultural Sciences . 2008;21(2):155-60. ©2018 The Authors. Published by G J Publications under the CC BY license. 89.
- Reyes O, Rebolledo A, Sanchez G. Algorithm to Describe the ideal spur g ear profile. Proceeding of the World C ongress on Engineering, London, U.K. 2008.
- Fang F, Hui P, Guojun H. Pro/E based parametric design of spur gears. Advanced Materials Research. 2011;201-203:790-94.
- Sandeep S. Program for Involute equation to develop spur gears on Pro/E software. Gear Technology. 2002;3:27-30.
- Wang L, Huang W . Solid model generation of involute cylindrica l gears. Gear Technology. 2003;5:40-3.
- Suresh Babu V, Aseffa AT. Involute Spur Gear Development by Parametric Technique Using Computer Aided Design, African Research Review, International Multidisciplinary J ournal. 2009; 3(2):415- 29.
- Xiaogen S, Donald RH. Characteristics of trochoids and their application to determining gear teeth fillet shapes. Mechanism and Machine Theory. 2000;35:291-304.
- Suresh Babu V, Majumder MC, Ramprasad A. Investigation and Development of Non -Symmetric Gear System using Matlab Graphical User Interface (GUI)® and Autodesk Inventor. International Journal o f Industrial Engineering. 2017;5(1):151-60.
- Gitin MM . Hand book of gear Design. Tata McGraw Hill Publishing Company Limited. 2001.
- Design data handbook, PSG Colleg e of Technology, 2nd Edition, 1996.
- Suresh Babu V, Majumder MC, Ramprasad A. Involute Tooth Spacing, Gear Profile and 3D Gear development with MATLAB Graphical User Interface and Solidworks. International Journal o f Industrial Engineering. 2018;2(3):67-75.
- Litivin FL. Gear Geometry and Applied Theory. Cambridge University. 2 nd edition. 2004.
- Liu TL. Excel Spreadsheet in Mechanical Engineering Technology Education. Proceedings of the Conference for Industry and Edu cation Collaboration . American Society for Engineering Education; USA: 2018.
- Alireza D . The study of the backlash effects on geometry factor of spur gears by the finite element method by using Ansys. Proceedings of the International Conference on Mechanical Engineering 2007. 29-31 December 2007 ; Dhaka, Bangladesh.
- Xueyi L, Shoubo J, Chaochao Li, Binbing H. Statics analysis of cylindrical gear drive at any meshing position based on ANSYS. Journal of Theoretical and Applied Information Technology. 2013 ;47(2):767- 73.