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| Multi-objective optimization of the non-symmetrical gear agglutinate strength based on elastohydrodynamic lubrication theory |
| QIAN Xue-Yi1, WU Shuang2 |
1.Department of Electronic Engineering, Wuyi University, Wuyi Mountain 354300, China;
2. Department of Application Engineering, Zhejiang Economic and Trade Polytechnic, Hangzhou 310018, China |
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Abstract To improve the design quality of the non-symmetric double pressure angle gear and shorten the design cycle time, in accordance with elastohydrodynamic lubrication theory, by example, the authors took the maximum value of the smallest film thickness between gear teeth and the minimum value of the total volume of the transmission gears as the object function. And, constrained multi-objective optimization was achieved according to particle swarm optimization, programming with MATLAB. On this basis, study from the point of mathematical logic and physical mechanism were carried out for the sensitivity analysis of objective function to each design variable according to gear engagement theory and principles of modern tribology. The results show that with module and width of gear increasing, the volume of the meshing non-symmetrical gears increases, and it is more sensitive to module comparing with width of gears, the film minimum thickness increases as each of module, width of gear, pressure angle and modification coefficient increases. Pressure angle, module, width of gear and modification coefficient are in order of the degree of sensitivity. Especially, pressure angle is the most important factor for the elastohydrodynamic lubrication film minimum thickness between gear teeth. The increase of the pressure angle on the working profile significantly causes rising of smallest film thickness. Coefficients of all the meshing gears, no matter big or small, have equal influence on the film minimum thickness．
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Published: 28 December 2010
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基于弹流润滑理论的非对称齿轮胶合强度多目标优化
为提高双压力角非对称齿廓齿轮的设计质量,缩短设计周期,依据弹性流体动力润滑理论,通过范例,以齿间最小油膜厚度最大和齿轮传动总体积最小为目标函数,按照粒子群优化算法,利用MATLAB编制优化程序,进行约束多目标优化设计.在此基础上,根据齿轮啮合原理和现代摩擦学原理从数学逻辑关系和物理机理上分析了目标函数对各个设计变量的灵敏度.研究结果表明：非对称齿轮的体积随模数和齿宽的增加而增加,对模数的敏感程度大于齿宽；齿间最小油膜厚度随模数、齿宽、压力角及变位系数的增加而增加,其敏感程度依次为压力角、模数、齿宽和变位系数；压力角是影响弹流润滑齿间最小油膜厚度最重要的因素,在工作齿侧适度增大压力角可以显著增大最小膜厚；大、小齿轮的变位系数对最小油膜厚度具有同等的影响程度.
关键词：
最小油膜厚度,
胶合强度,
粒子群优化算法,
约束多目标优化,
灵敏度分析
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