变螺距螺旋结构的螺距设计与仿真分析
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摘要
目的针对变距螺旋主要以经验设计为主,缺乏系统设计方法的问题,提出一种函数拟合法。方法首先以二次函数y=Ax2+Bx对变距展开线进行初始拟合,考虑进料段螺旋变距的均匀变化,再以线性函数y=Ax+B进行二次拟合。根据线性拟合结果,采用粒径为1.5mm的小米物料对等距和变距螺旋进行离散元仿真。结果得到了进料段变距设计方案,S_1=0.4D,S_2=0.56D,S_3=0.72D,S_4=0.8D。相比等螺距,在相同转速及外径下,变距螺旋进料段下料均匀,输送稳定,质量流量与实际流量相对误差为1.8%。结论验证了变距设计的合理性,可为变距螺旋研究提供参考。
This paper aims to propose a function fitting method to solve the problem that the variable pitch spiral structure is mainly based on empirical design and there is a lack of system design methods. First, the initial fitting of the variable-distance spiral expansion line was performed by the quadratic function y=Ax~2+Bx. Considering the uniform variation of the pitch-changing spiral of the feed section, the second function was performed by the linear function y=Ax+B.Based on the result of leaner fitting, discrete element of equidistant and variable pitch spirals was simulated with millet material with a particle size of 1.5 mm. The variable pitch design of the feed section was obtained as follows: S_1=0.4 D,S_2=0.56 D,S_3=0.72 D, and S_4=0.8 D. Compared with the equal pitch, at the same speed and blade outer diameter, the feeding section of the variable pitch spiral structure was relatively uniform, the conveying was relatively stable, and the relative error between the mass flow and the actual flow was 1.8%. The simulation results verify the rationality of the design of the variable pitch spiral structure, and have certain reference value for the study of the variable pitch spiral structure.
This paper aims to propose a function fitting method to solve the problem that the variable pitch spiral structure is mainly based on empirical design and there is a lack of system design methods. First, the initial fitting of the variable-distance spiral expansion line was performed by the quadratic function y=Ax~2+Bx. Considering the uniform variation of the pitch-changing spiral of the feed section, the second function was performed by the linear function y=Ax+B.Based on the result of leaner fitting, discrete element of equidistant and variable pitch spirals was simulated with millet material with a particle size of 1.5 mm. The variable pitch design of the feed section was obtained as follows: S_1=0.4 D,S_2=0.56 D,S_3=0.72 D, and S_4=0.8 D. Compared with the equal pitch, at the same speed and blade outer diameter, the feeding section of the variable pitch spiral structure was relatively uniform, the conveying was relatively stable, and the relative error between the mass flow and the actual flow was 1.8%. The simulation results verify the rationality of the design of the variable pitch spiral structure, and have certain reference value for the study of the variable pitch spiral structure.
引文
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[15]WANG Shu-yan,et al.Numerical Simulation of Particle Flow Behavior in a Screw Conveyor Using the Discrete Element Method[J].Particuology,2019,43:137-148.
[16]FERNANDEZ,JUSTIN W,CLEARY P W,et al.Effect of Screw Design on Hopper Drawdown of Spherical Particles in a Horizontal Screw Feeder[J].Chemical Engineering Science,2011,66(22):5585-5601.
[2]余书豪.垂直螺旋输送机性能参数的优化设计[J].机械设计与制造,2015(11):215-218.YU Shu-hao.Optimization Design of Performance Parameters of Vertical Screw Conveyor[J].Machinery Design&Manufacture,2015(11):215-218.
[3]CAI Jiang-hui,MENG Wen-jun.A New Parameters Optimization Method for Screw Conveyor Based on PSO[C].In:2010 3rd International Conference on Emerging Trends in Engineering and Technology.IEEE,2010:263-266.
[4]都红云,赵军.圆管螺旋给料机的设计与制作[J].现代面粉工业,2014,28(2):16-19.DU Hong-yun,ZHAO Jun.Design and Fabrication of Round Tube Screw Feeder[J].Modern Flour Industry,2014,28(2):16-19.
[5]宋亚英.变螺距螺旋结构参数的理论研究[J].苏州大学学报(自然科学),1996(4):96-100.SONG Ya-ying.Theoretical Study on Parameters of Variable Pitch Spiral Structure[J].Journal of Suzhou University(Natural Science),1996(4):96-100.
[6]张东海.螺旋输送机的优化研究[D].大连:大连理工大学,2006.ZHANG Dong-hai.Optimization of Screw Conveyor[D].Dalian:Dalian University of Technology,2006.
[7]赵冬梅,余书豪.变螺距螺旋输送机的螺距设计与性能分析[J].机械设计与制造,2018(6):52-55.ZHAO Dong-mei,YU Shu-hao.Pitch Design and Performance Analysis of Variable Pitch Screw Conveyor[J].Mechanical Design&Manufacturing,2018(6):52-55.
[8]李振亮,付长江,李亚.定量螺旋给料机的结构研究[J].盐业与化工,2010,39(1):27-29.LI Zhen-liang,FU Chang-jiang,LI Ya.Research on the Structure of Quantitative Screw Feeder[J].Salt Industry and Chemical Industry,2010,39(1):27-29.
[9]蒙贺伟,高振江,林海.等径变螺距奶牛精确饲喂给料装置设计与试验[J].农业工程学报,2011,27(3):103-107.MENG He-wei,GAO Zhen-jiang,LIN Hai.Design and Experiment of Precise Feeding and Feeding Device for Equal-diameter Variable Pitch Cows[J].Transactions of the Chinese Society of Agricultural Engineering,2011,27(3):103-107.
[10]BATES L.Entrainment Patterns of Screw Hopper Dischargers[J].Journal of Engineering for Industry,1969,91(2):295-302.
[11]杨作梅,孙静鑫,郭玉明.不同含水率对谷子籽粒压缩力学性质与摩擦特性的影响[J].农业工程学报,2015,31(23):253-260.YANG Zuo-mei,SUN Jing-xin,GUO Yu-ming.Effects of Different Moisture Contents on Compressive Mechanical Properties and Friction Characteristics of Millet Seeds[J].Transactions of the Chinese Society of Agricultural Engineering,2015,31(23):253-260.
[12]郝友莉,唐正宁,季婷婷.粉体包装机密实输送螺杆的设计[J].轻工机械,2017,35(5):12-15.HAO You-li,TANG Zheng-ning,JI Ting-ting.Design of Compact Conveying Screw for Powder Packaging Machine[J].Light Industry Machinery,2017,35(5):12-15.
[13]PEZO,MILADA.Discrete Element Model of Particle Transport and Premixing Action in Modified Screw Conveyors[J].Powder Technology,2018,336:255-264.
[14]MOYSEY P A,THOMPSON M R.Modelling the Solids Inflow and Solids Conveying of Single-screw Extruders Using the Discrete Element Method[J].Powder Technology,2005,153(2):95-107.
[15]WANG Shu-yan,et al.Numerical Simulation of Particle Flow Behavior in a Screw Conveyor Using the Discrete Element Method[J].Particuology,2019,43:137-148.
[16]FERNANDEZ,JUSTIN W,CLEARY P W,et al.Effect of Screw Design on Hopper Drawdown of Spherical Particles in a Horizontal Screw Feeder[J].Chemical Engineering Science,2011,66(22):5585-5601.