摘要
以曲柄齿轮齿条组合机构为研究对象,在考虑机构运动学及齿轮啮合特性的基础上,以齿轮摆角、齿轮角加速度以及齿轮齿条的重合度作为优化目标建立了数学分析模型;运用NSGA-Ⅱ算法对其设计参数进行了多目标优化,得到一组最优解集,从而确定了该组合机构的最优设计方案;基于Matlab仿真软件对优化前后组合机构的运动学特性进行了分析。结果表明:在保证机构运行平稳的前提下,优化后组合机构的齿轮摆角从7.365 rad增至9.875 rad,提高了该机构长行程往复运动能力。该结论为曲柄齿轮齿条组合机构的参数优化设计提供了理论参考依据。
The crank-gear-rack combined mechanism was chosen as the research object. Based on the requirements of mechanical kinematic characteristics and the gears' mesh characteristics, the mathematical analysis model was established by taking the gear angle, the gear angular acceleration and the contact ratio of gear-rack as optimization objectives. By using the NSGA-Ⅱ algorithm, the multi-objective optimization of the parameter was carried out and a set of optimal solution was obtained. In the meanwhile, the optimal design scheme was determined. The kinematic characteristics was analyzed to the fore-optimized and post-optimized combined mechanism. The result show that:in the promise of ensuring mechanical smooth operation, the swing angle of gear is increased from 7.365 rad to 9.875 rad, which improves the ability of reciprocating motion with long stroke to the combined mechanism. This research provides a theoretical reference for designing the crank-gear-rack combined mechanism based on parameterized optimization.
出处
《机械设计与制造》
北大核心
2017年第S1期144-148,共5页
Machinery Design & Manufacture
基金
江苏省研究生创新基金(KYLX15_1049)
