排灌机械工程学报
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排灌机械工程学报  2012, Vol. 30 Issue (1): 75-79    DOI: 10.3969/j.issn.1674-8530.2012.01.015
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轴向柱塞泵滑靴油膜形状的遗传算法数值分析
刘洪, 彭增雄, 荆崇波
(北京理工大学车辆传动国家级重点实验室, 北京 100081)
Numerical analysis of slipper bearing′s film shape in axial piston pump using genetic algorithms
LIU Hong, PENG Zeng-Xiong, JING Chong-Bo
(National Key Laboratory of Vehicular Transmission,Beijing Institute of Technology,Beijing 100081,China)
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摘要 油膜形状对滑靴的润滑特性影响很大.为了准确获取滑靴的润滑特性,需要精确地求出滑靴的油膜形状.考虑了滑靴工作过程中的倾覆现象,采用非均匀间隙对滑靴的油膜形状进行了描述,建立了滑靴的润滑控制方程,采用高斯-塞德尔超松弛迭代方法进行求解,得到滑靴流场的压力分布.考虑到压力分布与油膜形状存在对应关系,通过滑靴的受力平衡分析,建立了滑靴稳态油膜形状的数学模型,并将其简化为以法向力平衡、流量守恒为等式约束,以滑靴倾角以及滑靴倾斜方位角为不等式约束,滑靴力矩平衡为目标的两参数单目标优化问题.采用小生境遗传算法对不同转速下滑靴的稳态油膜形状进行了数值求解.实例分析表明,该方法具有较好的数值稳定性,可以以较快的速度以及较高的精度收敛于模型的最优解,准确获取稳态下滑靴油膜的三维形状,从而为滑靴润滑特性的准确计算以及滑靴的设计提供理论依据.
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刘洪
彭增雄
荆崇波
关键词轴向柱塞泵   滑靴   油膜形状   遗传算法     
Abstract: The film shape of slipper bearing has a great influence on its lubrication characteristics in axial piston pumps.In order to calculate the slipper lubrication characteristics correctly,the film shape should be obtained precisely.Firstly,considering the slipper overturn phenomenon,the film shape was described by using nonuniform gap,and the lubrication equation of the slipper was established and solved by the GaussSeidel relaxation method to obtain its pressure field.Then an optimization problem,which consists of two decision variables,one objective function,two equality constraints and two inequality constrains,was deduced for the film shape.The two equality constraints are based on the simplified normal force balance equation and flow rate continuity equation,which were obtained with equilibrium analysis of force on the slipper by considering the relation between the film shape and a corresponding pressure field.The two inequality constrains,the slipper tilt angle and azimuth angle were involved.Finally,the Niche Genetic Algorithm was applied to solve this problem.The results showed that this method is really robust and can achieve the optimum solution faster with a higher accuracy,and can get a steady 3D film shape of a slipper precisely.The method has provided a theoretical base for correct prediction of slipper lubrication characteristic and slipper bearing design.
Key wordsaxial piston pump   slipper bearing   film shape   genetic algorithms   
收稿日期: 2011-05-09; 出版日期: 2012-01-30
基金资助:

国防科工局基础产品创新科研项目(VTDP-3303)

通讯作者: 刘洪(1984—),男,四川绵阳人,博士研究生(leon9849@sina.com),主要从事柱塞泵、马达内部构件设计和润滑密封技术研究.   
作者简介: 彭增雄(1979—),男,广东罗定人,讲师(pengzengx@bit.edu.cn),主要从事液压传动研究.
引用本文:   
刘洪,彭增雄,荆崇波. 轴向柱塞泵滑靴油膜形状的遗传算法数值分析[J]. 排灌机械工程学报, 2012, 30(1): 75-79.
LIU Hong,PENG Zeng-Xiong,JING Chong-Bo. Numerical analysis of slipper bearing′s film shape in axial piston pump using genetic algorithms[J]. Journal of Drainage and Irrigation Machinery Engin, 2012, 30(1): 75-79.
 
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