孙丽,张小峰,张利锋,周文举.一元三次方程在矿机速度平滑中的应用与实现[J].电子测量与仪器学报,2017,31(1):106-111
一元三次方程在矿机速度平滑中的应用与实现
Application and implementation of simple cubic equation in velocity smoothing of mine hoist
  
DOI:10.13382/j.jemi.2017.01.015
中文关键词:  速度平滑  一元三次方程  煤矿提升机
英文关键词:velocity smoothing  simple cubic equation  mine hoist
基金项目:山东省自然科学基金(ZR2016FM23/ZR2016FM21)资助项目
作者单位
孙丽 鲁东大学信息与电气工程学院烟台264025 
张小峰 鲁东大学信息与电气工程学院烟台264025 
张利锋 鲁东大学信息与电气工程学院烟台264025 
周文举 鲁东大学信息与电气工程学院烟台264025 
AuthorInstitution
Sun Li School of Information & Electronic Engineering, Ludong University, Yantai 264025, China 
Zhang Xiaofeng School of Information & Electronic Engineering, Ludong University, Yantai 264025, China 
Zhang Lifeng School of Information & Electronic Engineering, Ludong University, Yantai 264025, China 
Zhou Wenju School of Information & Electronic Engineering, Ludong University, Yantai 264025, China 
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中文摘要:
      速度平滑问题是高速数控加工及煤矿提升机为提高加工精度与设备寿命而提出的,针对该速度平滑问题建立分段模型,基于加速度与速度的关系,推导了各段速度、行程和时间的解析解,推导了模型中关键一元三次方程的通用解,并将其运用到速度平滑分段求解问题中。本方法应用于煤矿提升机速度平滑问题中,显示出易于程序实现、计算量小、过渡曲线平滑的特点,能很好适应高速运动设备速度平滑的场景。目前该方法已推广至多个实际项目中。
英文摘要:
      Velocity smoothing is one problem which is proposed in high speed machining and coal mine safety production, the aim of which is to improve machining accuracy and equipment life. Aiming at this problem, this paper proposes a stage wise model and deduces the closed form expression solution for each stage based on the relationship of acceleration and velocity, and then deduces the general solutions of cubic equation in detail for the model. Finally, the solutions are applied to the velocity smoothing. The proposed schema shows the advantages of easy to program and smoothing in transition curve when being applied for velocity smoothing in coalmine. The result demonstrates that the proposed method adapts the high speed scenarios well and has used in other several projects.
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