A method for the preliminary design of gears using a reduced number of American Gear Manufacturers Association (AGMA) correction factors

References

• Alban, L. E. 1985. Systematic Analysis of Gear Failures. Materials Park, OH: American Society for Metals.
   Google Scholar
• ANSI/AGMA. 2010. Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth. ANSI/AGMA 2001-D04, Revision of ANSI/AGMA 2001-C95, Reaffirmed Jan. 2010.
   Google Scholar
• Aziz, E.-S. S., and C. Chassapis. 2011. “Probabilistic Simulation Approach to Evaluate the Tooth-Root Strength of Spur Gears with FEM-Based Verification.” Engineering 3: 1137–1148. doi: 10.4236/eng.2011.312142
   Google Scholar
• Box, G., and C. Fung. 1986. Studies in Quality Improvement: Minimizing Transmitted Variation by Parameter Design, Report No. 8, Madison, WI: Center for Quality and Productivity Improvement, University of Wisconsin.
   Google Scholar
• Bras, B., and F. Mistree. 1993. “Robust Design using Compromise Decision Support Problems.” Engineering Optimization 21: 231–239. doi: 10.1080/03052159308940976
   Google Scholar
• Bryne, D. 1987. “Taguchi Approach to Parameter Design.” Quality Progress 20: 19–26.
   Google Scholar
• Budynas, R. G., and J. K. Nisbett. 2006. Shigley’s Mechanical Engineering Design. 8th ed. Materials Park, OH: Tata McGraw Hill.
   Google Scholar
• Davis, J. R. 2005. Gear Materials, Properties, and Manufacture. Materials Park, OH: American Society for Metals.
   Google Scholar
• Ebro, M., and T. J. Howard. 2016. “Robust Design Principles for Reducing Variation in Functional Performance.” Journal of Engineering Design 27 (1–3): 75–92. doi:doi:10.1080/09544828.2015.1103844.
   Web of Science ®Google Scholar
• Gautham, B. P., P. Gupta, N. H. Kulkarni, J. H. Panchal, J. K. Allen, and F. Mistree. 2013. “Robust Design of Gears With Material and Load Uncertainty.” Article ID DETC2013-12170. Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE 2013, Portland, Oregon, USA, August 4–7, 2013.
   Google Scholar
• Hewitt, J. 1992. “Design and Materials Selection for Power-Transmitting Gears.” Materials and Design 13 (4): 230–238. doi: 10.1016/0261-3069(92)90030-L
   Google Scholar
• ISO. 2006. Calculation of Load Capacity of Spur and Helical Gears Parts 1 to 3. ISO 6336-1 to 3.
   Google Scholar
• ISO. 2015. What are Standards. Accessed September 09, 2015. http://www.iso.org/iso/about/discover-iso_meet-iso/about.htm.
   Google Scholar
• Kulkarni, N. H., B. P. Gautham, P. R. Zagade, J. K. Allen, J. Panchal, and F. Mistree. 2014. “Exploration of Design and Material Space for Gears.” Engineering Optimization. doi:doi:10.1080/0305215X.2014.908868.
   Web of Science ®Google Scholar
• MacAldener, M. 2001. “Tooth Interior Fatigue Fracture and Robustness of Gears.” PhD diss., KTH Sweden.
   Google Scholar
• McDowell, D. L., and G. G. Olson. 2008. “Concurrent Design of Hierarchical Materials and Structures.” Scientific Modelling and Simulations (SMNS) 15 (1): 207–240.
   Google Scholar
• Mistree, F., O. F. Hughes, and B. A. Bras. 1993. “The Compromise Decision Support Problem and Adaptive Linear Programming Algorithm.” In Structural Optimization: Status and Promise, edited by M. P. Kamat, 247–286. Washington, DC: AIAA.
   Google Scholar
• Mohandas, S., and E. Sandgren. 1989. “Multiobjective Optimization Dealing with Uncertainty.” 1989 ASME Design Technical Conferences- 15th Design Automation Conference, Montreal, Canada 19-2, 241.
   Google Scholar
• Olson, G. B. 1997. “Computational Design of Hierarchically Structured Materials.” Science 277 (5330): 1237–1242. doi:doi:10.1126/science.277.5330.1237.
   Web of Science ®Google Scholar
• Olson, G. B. 2000. “Designing a New Material World.” Science 288 (5468): 993–998. doi:doi:10.1126/science.288.5468.993.
   Web of Science ®Google Scholar
• Padulo, M., S. A. Forth, and M. D. Guenov. 2008. Lecture Notes in Computational Science and Engineering 64: 271–280.
   Google Scholar
• Pollard, D. 1998. “How Different is the T Distribution from Normal.” Accessed July 13, 2015. http://www.stat.yale.edu/~pollard/Courses/100.fall98/pollard/lecture7.pdf.
   Google Scholar
• Ramakrishnan, B., and S. Rao. 1991. “A Robust Optimization Approach Using Taguchi’s Loss Function for Solving Nonlinear Optimization Problems.” ASME Design Technical Conferences—17th Design Automation Conference, Miami, FL. DE-32-1: 241–248.
   Google Scholar
• Random: Probability, Mathematical Statistics, Stochastic Processes. 2016. Accessed June 29. http://www.math.uah.edu/stat/special/Student.htmlhttp://www.math.uah.edu/stat/special/Student.html.
   Google Scholar
• Rolander, N., J. Rambo, Y. Joshi, J. K. Allen, and F. Mistree. 2006. “An Approach to Robust Design of Turbulent, Convective Systems.” Journal of Mechanical Design, 128: 844–855. doi: 10.1115/1.2202882
   Web of Science ®Google Scholar
• Ross, P. J. 1995. Taguchi Techniques for Quality Engineering: Loss Function, Orthogonal Experiments, Parameter and Tolerance Design. 2nd ed. New York: McGraw-Hill.
   Google Scholar
• Scarth, D. A. 2012. “Special Topic on Codes and Standards, Guest Editorial.” Journal of Pressure Vessel Technology, 134 (3): 030301. doi: 10.1115/1.4006356
   Web of Science ®Google Scholar
• Seepersad, C. C., M. G. Fernandez, J. H. Panchal, H. J. Choi, J. K. Allen, D. L. McDowell, and F. Mistree. 2004. “Foundations for a System-Based Approach for Materials Design.” In 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. AIAA MAO, Albany, NY, pp. AIAA-2004-4300.
   Google Scholar
• Shukla, R., N. H. Kulkarni, B. P. Gautham, A. K. Singh, F. M. Mistree, J. K. Allen, and J. H. Panchal. 2015. “Design Exploration of Engineered Materials, Products, and Associated Manufacturing Processes.” JOM 67 (1): 94–107. doi: 10.1007/s11837-014-1216-4
   Web of Science ®Google Scholar
• Sun, S. X., M. Yan, W. Jia, and P. Bai. 2011. “Analysis of Sensible Random Factors that Influence Gear Reliability.” Applied Mechanics and Materials 80–81: 913–916.
   Google Scholar
• Sundaresan, S., K. Ishii, and D. R. Houser. 1991. “A Procedure Using Manufacturing Variance to Design Gears with Minimum Transmission Error.” Journal of Mechanical Design 113: 113–318. doi: 10.1115/1.2912785
   Web of Science ®Google Scholar
• Taguchi, G., E. A. Elsayed, and T. C. Hsiang. 1989. Quality Engineering in Production Systems. New York, NY: McGraw Hill.
   Google Scholar
• Yang, Z., Y. Zhang, Z. Xufang, and X. Huang. 2012. “Reliability-Based Sensitivity Design of Gear Pairs with Non-Gaussian Random Parameters.” Applied Mechanics and Materials 121–126: 3411–3418.
   Google Scholar
• Zhang, Y., and G. Cui. 2009. “The Reliability Optimum Design of the Main Driving Gear Transmission of Shield Machine Based on Kriging Model.” Second Asia-Pacific Conference on Computational Intelligence and Industrial Applications 202–206.
   Google Scholar
• Zhang, Y., Q. Liu, and B. Wen. 2007. “Reliability-Based Sensitivity Design of Gear Pairs.” 12th IFToMM World Congress, Besançon, France, June 18–21.
   Google Scholar