摘要
为进一步优化差速泵性能,利用自由节曲线灵活的局部调整能力,该研究提出对自由节曲线非圆齿轮驱动的六叶片差速泵进行多目标参数优化,建立多目标参数优化计算模型,利用功效系数法和改进遗传算法求解差速泵排量、流量和脉动率综合性能最优的节曲线控制点Pareto解。结果表明,经过多目标优化后差速泵的综合性能提升明显,排量和非圆齿轮不根切最大模数显著增加,脉动率有所降低。为验证计算结果,开展自由节曲线优化前后对比试验,在相同测试环境和相同泵腔容积下,六叶片差速泵经过优化后排量增加3.3%,不根切最大模数为2.6 mm,增加30%,齿轮齿廓选择国家标准模数系列,实际模数2.5 mm,增加25%,改善最为明显,可大幅度提升非圆齿轮承载能力,脉动率降低3.1%。通过多目标参数优化可有效提升自由节曲线非圆齿轮驱动六叶片差速泵综合性能。
In order to further optimize the performance of the differential pump,a multi-objective parameter optimization model was proposed for the six-blade differential pump driven by the non-circular gear with free pitch curve which had the flexible local adjustment ability.Based on the best 1∶3 order Fourier pitch curves driving the six-blade differential pump,the control vertex of the B-spline curve was designed.Three calculation models and coefficients of displacement,pulsation rate and maximum modulus without undercutting of differential pump were established.The evaluation function of comprehensive performance of differential pump was constructed by geometric average.The multi-objective optimization software was designed according to the efficiency coefficient method and the improved genetic algorithm.The Pareto solution of the free pitch curve was obtained by using the software.The results showed that the comprehensive performance of the differential pump was significantly improved after the multi-objective optimization.The displacement was increased by 2.4%,and the pulsation rate of the single pump was reduced 10.6%and the maximum modulus without undercutting increased by 30.0%.The optimization results preliminarily showed that the local optimization of free pitch curve was helpful to improve the comprehensive performance of differential pump.In order to verify the calculation results and carry out the investigation on before and after the optimization of the free pitch curve,the motor power of the differential pump test bed is 5 kW,the speed of the input shaft is 300 r/min,because the order ratio of the driving and driven gears is 1∶3,the average speed of the impeller is 100 r/min,and the cycle time of one revolution is 0.6 s.Due to the high frequency characteristics of pump source pulsation,at present,it is mainly based on the transient pressure sensor to measure and calculate the pulsation rate.The Aier AE-H high frequency pressure sensor was selected.The power supply is 24 V,the measuring range is 0-1 MPa,the measurement accuracy is±0.5%FS,and the signal voltage output is 0-10 V.The data acquisition device uses Altay's acquisition card and acquisition software.Refer to the input shaft speed range,and according to the sampling theorem,the sampling frequency of the acquisition card is 2 kHz.After optimization,the difference of pressure curve before and after optimization was obvious,and the peak width of pressure wave increases at the outlet of differential pump.The displacement per minute of the six-blade differential pump was increased by 3.3%,which can increase the effective volume cavity of the differential pump.According to the national standard series of modulus,the actual tooth profile modulus of the optimized non-circular gear was 2.5 mm,increased by 25.0%.According to the relevant theory of gear transmission,the increase of modulus can significantly improve the bearing capacity of the non-circular gear.The pulsation rate of differential pump was reduced by 3.1%,the impact of fluid was weakened,the leakage of pump clearance was reduced,and the volume efficiency was improved.It indicates that the comprehensive performance of six blade differential pump driven by free pitch curve non-circular gear can be effectively improved by multi-objective parameter optimization.
作者
徐高欢
孙培峰
谢荣盛
Xu Gaohuan;Sun Peifeng;Xie Rongsheng(School of Mechanical&Automotive Engineering,Zhejiang University of Water Resources and Electric Power,Hangzhou 310018,China;Zhejiang Engineering Research Center for Advanced Hydraulic Equipment,Hangzhou 310018,China;Key Laboratory for Technology in Rural Water Management of Zhejiang Province,Hangzhou 310018,China)
出处
《农业工程学报》
EI
CAS
CSCD
北大核心
2020年第16期17-24,共8页
Transactions of the Chinese Society of Agricultural Engineering
基金
国家自然科学基金项目(51675486)
浙江省自然科学基金基础公益研究计划项目(LGG18E050004)
浙江省水利厅重点科技计划项目(RB1913)
浙江省高等学校中青年学科带头人培养对象项目。
关键词
试验
优化
自由节曲线
差速泵
控制点
experiment
optimization
free pitch curve
differential pump
control point
