基于诱导法曲率的非对称弧齿锥齿轮多目标优化  

ASYMMETRIC SPIRAL BEVEL BEARS' MULTI-OBJECTIVE OPTIMIZATION BASED ON THE INDUCED NORMAL CURVATURE

作　　者：钱学毅[1] 吴双[2] 

机构地区：[1]武夷学院电子工程系,福建武夷山354300 [2]浙江经贸职业技术学院应用工程系,杭州310018

出　　处：《机械强度》2012年第5期786-790,共5页Journal of Mechanical Strength

摘　　要：为提高非对称弧齿锥齿轮的设计效率及质量,依据微分几何、弹性流体动力润滑理论、弧齿锥齿轮设计理论与方法及可靠性设计理论,建立以齿间最小油膜厚度、可靠性及大小齿轮等强度原则为约束,以齿面诱导法曲率主值最小和锥齿轮传动总体积最小为目标函数的约束多目标优化设计数学模型;借助于粒子群多目标优化算法,利用Matlab编制优化程序,通过范例进行优化设计。根据齿轮啮合原理和现代磨擦学原理分析诱导法曲率主值对齿面接触强度和抗胶合承载能力的影响。研究结果表明,利用粒子群多目标优化算法和得到的设计参数,能有效地提高弧齿锥齿轮传动系统的承载能力,保证传动系统的可靠度,明显降低重量和体积,获得性价比较佳的弧齿锥齿轮传动产品。In order to improve the asymmetrical spiral bevel gears＇ design efficiency and quality, a multi-objective optimization＇s mathematical model is established with the PSO （particle swarm optimization） algorithm. The model is based on differential geometry, elastic hydrodynamic lubrication theory, spiral bevel gear design theory and the reliability design theory. The minimum film thickness between teeth, reliability, strength and size of gears is the model＇s constraints and the minimize main value of the induced normal curvature and the minimize of the total volume of the drive bevel gear is the model＇s objective function. The algorithm is written by Matlab and though the example to do the optimization. The model analyzes the induced normal eurvature＇s the main value＇s affect to the tooth surface contact strength and bevel gear transmission system＇s load capacity. The result shows that by the use of the PSO algorithm and the design＇s paramelers obtained, the bevel gear transmission system＇s load capacity can be improved, the transmission system＇s reliability can be insured, the volume and weight are reduced obviously and a betler spiral bevel gear transmission product is get.

关 键 词：诱导法曲率 弹性流体动力润滑 可靠性 约束多目标优化 粒子群优化算法 

分 类 号：TH132.421[机械工程—机械制造及自动化] TB114.1[理学—运筹学与控制论]