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基于 GSA-SA 算法的直齿轮振动优化。

Vibration optimization of spur gear based on GSA-SA algorithm.

机构信息

College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China.

National Key Laboratory of Helicopter Aeromechanics, Nanjing, Jiangsu, China.

出版信息

PLoS One. 2023 Nov 1;18(11):e0293460. doi: 10.1371/journal.pone.0293460. eCollection 2023.

DOI:10.1371/journal.pone.0293460
PMID:37910568
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10619769/
Abstract

To determine the optimal design parameters of spur gear under a specific condition, based on the basic theories of gear dynamics theory, gear meshing principle, tooth contact analysis and load tooth contact analysis, a six-degree-of-freedom vibration analysis model of spur gear pair is established, and a gravitational search-simulated annealing hybrid algorithm (GSA-SA) is used to optimize the gear addendum modification coefficient and profile modification parameters. The vibration response of the spur gear pair is evaluated through the optimization objective function established by the combination of the G1 method and variation coefficient method. The study shows that the optimized design parameters effectively reduce the level of the vibration, which proves the effectiveness of the optimization method, and the simultaneous optimization of the addendum modification coefficient and profile modification parameters of the gear has a better result than only optimizing the addendum modification coefficient or profile modification parameters. This method can be used for gear transmission system vibration optimization design in the automotive industry and shipbuilding.

摘要

为了确定特定条件下直齿轮的最佳设计参数,基于齿轮动力学理论、齿轮啮合原理、齿面接触分析和载荷齿面接触分析的基本理论,建立了直齿轮副的六自由度振动分析模型,并采用引力搜索-模拟退火混合算法(GSA-SA)对齿轮的齿顶修形系数和修形参数进行优化。通过 G1 法和变异系数法组合建立的优化目标函数来评估直齿轮副的振动响应。研究表明,优化设计参数可有效降低振动水平,证明了优化方法的有效性,并且齿轮的齿顶修形系数和修形参数的同时优化比仅优化齿顶修形系数或修形参数具有更好的效果。该方法可用于汽车和船舶制造等行业的齿轮传动系统振动优化设计。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/259b/10619769/186a2e09cc24/pone.0293460.g010.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/259b/10619769/186a2e09cc24/pone.0293460.g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/259b/10619769/de5e97f80706/pone.0293460.g001.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/259b/10619769/879383516ac7/pone.0293460.g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/259b/10619769/186a2e09cc24/pone.0293460.g010.jpg

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