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Structural Stress Analysis and Reliability Evaluation for a New Speed Reducer

Published online by Cambridge University Press:  13 September 2016

Y.-T. Tsai*
Affiliation:
Department of Mechanical EngineeringDeLin Institute of TechnologyNew Taipei, Taiwan
K.-H. Lin
Affiliation:
Department of Mechanical EngineeringTungnan UniversityNew Taipei, Taiwan
*
*Corresponding author ([email protected])
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Abstract

Reducers are extensively used in many machines for reducing the speeds of mechanism. This paper proposed a new design of speed reducers to meet the performance requirements in high rigidness and large speed-reduction ratios. The movements of the reducer are designed based on the principles of differential displacements of the deceleration gear rings. The geometric models of the related components were designed using CAD software. The motions of mechanism were simulated for identifying the feasibility of designing including acquiring the kinematic properties. The mathematical models of structural stresses analysis were proposed so that the bending and contact stresses of the gear rings could be evaluated, accordingly. Finite element methods (FEM) were also used to analyze the structural stresses of the reducer. The studied results showed that the bending fracture of the gear rings would prior to its contacting fracture. The allowable loading of the reducer was then established according to the analyzed results of the maximum stresses on various transmitted torques. The methods of reliability evaluation were reported for considering the strength variation and calculating the reliabilities of the reducer at various loadings. The studied results are useful in structural design, stress analysis and reliability evaluation for developing high speed-reduction mechanisms.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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References

1. Ono, K., Hayashi, T., Fujii, T. M. and Shibasaki, N., “Development for Industrial Robotics Applications,” IHI Engineering Review, 42, pp. 103107 (2009).Google Scholar
2. Taghirad, H. D. and Belanger, P. R., “Modeling and Parameter Identification of Harmonic Drive Systems,” Journal of Dynamic Systems, Measurement and Control, 120, pp. 439444 (2009).CrossRefGoogle Scholar
3. Ghorbel, F. H., Gandi, P. S. and Alpeter, F., “On the Kinematics Error in Harmonic Drive Gears,” Journal of Mechanical Design, 123, pp. 9097 (2001).Google Scholar
4. Li, S. T., “Design and Strength Analysis Methods of The Trochoidal Gear Reducers,” Mechanism and Machine Theory, 81, pp. 140154 (2014).Google Scholar
5. Marciniec, A. and Pawlowicz, A., “The Bending and Contact Stress Analysis of Spur Gears,” Journal of KONES Powertrain and Transport, 16, pp. 243250 (2009).Google Scholar
6. Koisha, J. R. and Doshi, H. P., “Influence of Friction on Contact Stress for Small Power Transmission Planetary Gear Box”, International Journal of Engineering Research and Development, 1, pp. 3843 (2012).Google Scholar
7. Calculation of Load Capacity of Spur and Helical Gears - Part 1: basic principle, introduction and general influence factors, International Standard ISO 6336/1, pp. 1-100 (1993).Google Scholar
8. Calculation of Load Capacity of Spur and Helical Gears - Part 2: calculation of surface durability (pitting), International Standard ISO 6336/2, pp. 1-28 (2006).Google Scholar
9. Calculation of Load Capacity of Spur and Helical Gears - Part 3: Calculation of tooth strength, International Standard ISO 6336/3, pp. 1-72 (1993).Google Scholar
10. Surface Durability Formula of Spur Gears and Helical Gears, JGMA 402-01, Japanese Gear Manufacturer Association (JGMA), (1975).Google Scholar
11. Cook, R. D., Concepts and Applications of Finite Element Analysis, John Wiley & Sons, Inc., New York (2001).Google Scholar
12. ANSYS user's manual, ANSYS Inc., Canonsburg (2012).Google Scholar
13. Tsai, Y. T. and Chang, H. C., “Reliability-Based Optimum Design for Mechanical Problems Using Genetic Algorithms,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 222, pp. 17911799 (2008).Google Scholar
14. Tsai, Y. T., Wang, K. S. and Woo, J. C., “Fatigue-Life and Reliability Evaluations of Dental Implants Based on Computer Simulation and Limited Test Data,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 227, pp. 554564 (2013).Google Scholar
15. Tsai, Y. T., Lin, K. H. and Hsu, Y. Y., “Reliability design optimisation for practical applications based on modelling processes”, Journal of Engineering Design, 24, pp. 849863 (2013).Google Scholar
16. Yang, Y. H., Tsai, Y. Y. and Wang, W. S., “The Characteristic of cumulative damage study about electric insulation based on Accelerated life tests”, Journal of Mechanics, 30, pp. 1119 (2014).Google Scholar
17. Tsai, Y. T. and Wang, K. S., “A study of reliability analysis of fatigue life for dental implants”, Journal of Chinese Society of Mechanical Engineers, 36, pp. 439448 (2015).Google Scholar