| Autor: |
Mahapatra, Satyajit, Mohanty, Amiya Ranjan |
| Předmět: |
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| Zdroj: |
Journal of Vibration Engineering & Technologies; Oct2024, Vol. 12 Issue 7, p8311-8336, 26p |
| Abstrakt: |
Purpose: Defects and cyclic loads often lead to tooth-root cracks in spur gear transmission systems, affecting system stiffness, vibration patterns, and lifespan. Traditional methods using straight limiting lines and parabolic curves to assess reduced load-bearing areas due to cracks have limitations, including substantial errors with deep cracks and incompatibility with semi-analytical techniques. Methods: This paper introduces a novel approach: a modified limiting line for calculating gear mesh stiffness over a broader range of crack depths. Gear body is treated as rigid to avoid error in gear-body deflection estimates. The modified limiting line is defined by minimizing the difference between mesh stiffness obtained using analytical and finite element methods at a particular mesh position. Moreover, the orientation is used to derive mesh stiffness at additional mesh sites for a given crack configuration. Also, an optimization problem involving a compatibility condition is proposed to determine the load-sharing ratios during double tooth pair engagement. Results: The optimization problems, featuring nonlinear constraints, are solved using sequential quadratic programming. The mesh stiffness and load-sharing ratios are obtained for various crack configurations and are verified using the finite element method. Moreover, the dynamic responses at different crack levels are obtained. Conclusions: The current approach demonstrates better accuracy at higher crack levels than the existing analytical methods and is computationally less expensive than finite element methods. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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