基于MATLAB和LINGO的直齿锥齿轮传动优化设计  

The Optimal Design of Straight Bevel Gear Drive based on MATLAB and LINGO

作　　者：王沁军[1] 吴志光[1] 

机构地区：[1]山西机电职业技术学院机械工程系,山西长治046011

出　　处：《装备制造技术》2017年第6期30-33,共4页Equipment Manufacturing Technology

摘　　要：以大端端面模数met,小锥齿轮齿数z1,锥齿轮宽度b作为设计变量,以锥齿轮总体积最小为优化目标,以齿轮的强度等要求作为约束条件构建出直齿锥齿轮传动优化数学模型。通过实例给出常规设计方案,借助Matlab软件进行连续变量优化求解,利用Lingo软件进行离散变量优化求解,对求解结果进行综合比较,得出优化设计方案。与常规设计相比,锥齿轮总体积下降约32%,优化效果明显,能为设计选型提供参考。Taking the straight bevel gear drive as the research model,selected the gear＇s large end module,the tooth number of small bevel gear,and the gear width as design variable,regarded minimal gear volume as optimization goal,the optimal design model is established by setting gear strength and other constraint conditions.Combined with design example,the traditional design scheme is obtained. The optimal solution of continuous variable is obtained through Matlab,and the optimal solution of discrete variable is obtained through Lingo. Then the optimization scheme is obtained by comprehensive analysis of the solutions. Compared with the traditional design scheme,the gear volume is reduced by 32%,so the effect of optimization is significant,can provide the necessary reference for design.

关 键 词：直齿锥齿轮传动 优化设计 连续变量 离散变量 

分 类 号：TH132.41[机械工程—机械制造及自动化]