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Research on Time-Varying Meshing Stiffness of Marine Bevoloid Gear System
Version 1
: Received: 23 October 2023 / Approved: 23 October 2023 / Online: 25 October 2023 (09:40:05 CEST)
A peer-reviewed article of this Preprint also exists.
Wen, J.; Yao, H.; Yan, Q.; You, B. Research on Time-Varying Meshing Stiffness of Marine Beveloid Gear System. Mathematics 2023, 11, 4774. Wen, J.; Yao, H.; Yan, Q.; You, B. Research on Time-Varying Meshing Stiffness of Marine Beveloid Gear System. Mathematics 2023, 11, 4774.
Abstract
As a new type of gear, bevoloid gears have the advantages of compensating axial error, smooth transmission, and eliminating turning error, and they are widely used in applications requiring high transmission accuracy and stability. However, research on calculating the time-varying mesh stiffness of bevoloid gears is still limited, and there is an urgent need to propose a method that can calculate the stiffness of bevoloid gears quickly and accurately. This paper first establishes the bevoloid gear tooth profile expressions, then assumes a pair of bevoloid gears meshing with the same rack and derives the contact line equations of parallel axis bevoloid gear pairs, and analyze the contact process of bevoloid gears. We propose an analytical algorithm that uses the slicing method to calculate the stiffness of helical gears, straight bevoloid gears, and helical bevoloid gears, change the parameters of helical bevoloid gears respectively, and analyze the influence of different parameters on stiffness. Finally, the finite element method is used to verify the analytical method, and the correctness of the analytical calculation results is verified, and the errors are analyzed.
Keywords
bevoloid gear; time-varying mesh stiffness; analytical algorithm; finite element
Subject
Engineering, Marine Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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