This paper firstly presents a mathematical model in order to calculate the load distribution, single contact stiffness and meshing stiffness as well as transmission error. in this way, there is no need to use finite element like methods and also the calculation time is dramatically reduced. Presented method is based on definition of a statically undetermined problem that is formulated using energy method. Some assumptions considered to convert this problem to a statically determined problem and get the mathematical models. Then a numerical method is employed in order to solve the mathematical model using a double iteration flowchart to close the problem. This model is flexible to adapt for any modification in spur gear profile geometry. Finally, this model is verified using previous works that have been utilized finite element and experimental model.
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ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 30–September 2, 2009
San Diego, California, USA
Conference Sponsors:
- Design Engineering Division and Computers in Engineering Division
ISBN:
978-0-7918-4903-3
PROCEEDINGS PAPER
A Mathematical-Numerical Model to Calculate Load Distribution, Contact Stiffness and Transmission Error in Involute Spur Gears Available to Purchase
Mehdi Mohammadpour,
Mehdi Mohammadpour
Urmia University of Technology, Urmia, West Azerbaijan, Iran
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Iraj Mirzaee,
Iraj Mirzaee
Urmia University of Technology, Urmia, West Azerbaijan, Iran
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Shahram Khalilarya
Shahram Khalilarya
Urmia University of Technology, Urmia, West Azerbaijan, Iran
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Mehdi Mohammadpour
Urmia University of Technology, Urmia, West Azerbaijan, Iran
Iraj Mirzaee
Urmia University of Technology, Urmia, West Azerbaijan, Iran
Shahram Khalilarya
Urmia University of Technology, Urmia, West Azerbaijan, Iran
Paper No:
DETC2009-86676, pp. 81-87; 7 pages
Published Online:
July 29, 2010
Citation
Mohammadpour, M, Mirzaee, I, & Khalilarya, S. "A Mathematical-Numerical Model to Calculate Load Distribution, Contact Stiffness and Transmission Error in Involute Spur Gears." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 6: ASME Power Transmission and Gearing Conference; 3rd International Conference on Micro- and Nanosystems; 11th International Conference on Advanced Vehicle and Tire Technologies. San Diego, California, USA. August 30–September 2, 2009. pp. 81-87. ASME. https://doi.org/10.1115/DETC2009-86676
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