摩擦片滑摩过程最大滑摩功率的计算方法
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摘要
通过数学理论推导,结合试验测试成果,提出摩擦片副滑摩过程最大滑摩功率的计算方法。基于该方法,摩擦片滑摩过程的最大滑摩功率可以仅由摩擦片几何尺寸、物性参数和工况条件计算,无需进行试验测量和数学求极值方法计算。依据最大滑摩功率的计算分析过程,进行摩擦片副径向热场的定性分析。分析结果表明:当摩擦片材料、正压力和转速确定后,摩擦片径向温升随半径线性变化。基于数学推导和MATLAB编程,绘制出摩擦片轴向温升的三维热场图,实现了数据可视化,为摩擦片副温度场的计算分析提供了参考。
With the combination of mathematical derivation and existing experimental results,the calculation method of maximal frictional sliding power of the friction pair in frictional sliding process was proposed.The proposed method shows a simple calculation process for the maximal frictional sliding power,which is only correlated with the geometric size,material property and work conditions of the friction pair and not necessary to employ experiment and mathematical extremum approaches.The radial temperature field property was deduced based on the proposed formulation.It is found that the radial temperature rise of friction disk varies linearly with radius when the material,normal pressure and rotational speed are determined.The axial 3-dimensional temperature-rise figure could be obtained through the proposed calculation formulation and MATLAB software,which provides the friction disk temperature filed analysis with a data-visualized reference.
With the combination of mathematical derivation and existing experimental results,the calculation method of maximal frictional sliding power of the friction pair in frictional sliding process was proposed.The proposed method shows a simple calculation process for the maximal frictional sliding power,which is only correlated with the geometric size,material property and work conditions of the friction pair and not necessary to employ experiment and mathematical extremum approaches.The radial temperature field property was deduced based on the proposed formulation.It is found that the radial temperature rise of friction disk varies linearly with radius when the material,normal pressure and rotational speed are determined.The axial 3-dimensional temperature-rise figure could be obtained through the proposed calculation formulation and MATLAB software,which provides the friction disk temperature filed analysis with a data-visualized reference.
引文
[1]孙华琴,董建福.摩擦片温度场的研究[J].工程机械,1992(10):18-21.
[2]高晓敏,张协平,王晓明.离合器摩擦片非稳态温度场的计算[J].传动技术,1993(3):18-26.GAO X M,ZHANG X P,WANG X M.Numerical investigation determination transient temperature field in friction of clutch[J].Drive System Technique,1993(3):18-26.
[3]马保吉,朱均.摩擦制动器接触表面温度计算模型[J].西安工业学院学报,1999,19(1):35-39.MA B J,ZHU J.Contact surface temperature model for disc brake in braking[J].Journal of Xi’an Institute of Technology,1999,19(1):35-39.
[4]周建钊,高亚明.主离合器摩擦片温度场的数值解法[J].解放军理工大学学报(自然科学版),2003,4(1):58-62.ZHOU J Z,GAO Y M.Numerical solution of temperature field of main clutch friction plate[J].Journal of PLA University of Science and Technology(Natural Science Edition),2003,4(1):58-62.
[5]刘莹,周启兴.盘式制动器摩擦温度场的数值模拟[J].南昌大学学报(工科版),2012,34(3):258-263.LIU Y,ZHOU Q X.Simulation of the friction temperature field for disc brake[J].Journal of Nanchang University(Engineering&Technology),2012,34(3):258-263.
[6]王阳阳,刘茜.干式离合器摩擦片温度分布[J].交通运输工程学报,2015,15(4):86-92.WANG Y Y,LIU X.Temperature distribution of friction plate for dry clutch[J].Journal of Traffic and Transportation Engineering,2015,15(4):86-92.
[7]卞大鹏,吴其俊.高速抱轨制动过程中摩擦片温度场研究[J].兵器装备工程学报,2015,36(6):70-73.BIAN D P,WU Q J.Temperature field analysis for brake pad in high-speed braking program holding the rail[J].Journal of Ordnance Equipment Engineering,2015,36(6):70-73.
[8]姚冠新,牛华伟.制动器摩擦片材料热物性参数对其温度场的影响[J].润滑与密封,2015,40(10):61-64.YAO G X,NIU H W.Effect of thermal parameters of friction plate on its brake temperature field[J].Lubrication Engineering,2015,30(10):61-64.
[9]吴凡,高晓敏,王天驰,等.离合器元件动态热负荷研究[C]//上海市机械工程学会成立50周年暨第二届上海机械工程科技论坛论文集.上海:上海市机械工程学会,2003.
[2]高晓敏,张协平,王晓明.离合器摩擦片非稳态温度场的计算[J].传动技术,1993(3):18-26.GAO X M,ZHANG X P,WANG X M.Numerical investigation determination transient temperature field in friction of clutch[J].Drive System Technique,1993(3):18-26.
[3]马保吉,朱均.摩擦制动器接触表面温度计算模型[J].西安工业学院学报,1999,19(1):35-39.MA B J,ZHU J.Contact surface temperature model for disc brake in braking[J].Journal of Xi’an Institute of Technology,1999,19(1):35-39.
[4]周建钊,高亚明.主离合器摩擦片温度场的数值解法[J].解放军理工大学学报(自然科学版),2003,4(1):58-62.ZHOU J Z,GAO Y M.Numerical solution of temperature field of main clutch friction plate[J].Journal of PLA University of Science and Technology(Natural Science Edition),2003,4(1):58-62.
[5]刘莹,周启兴.盘式制动器摩擦温度场的数值模拟[J].南昌大学学报(工科版),2012,34(3):258-263.LIU Y,ZHOU Q X.Simulation of the friction temperature field for disc brake[J].Journal of Nanchang University(Engineering&Technology),2012,34(3):258-263.
[6]王阳阳,刘茜.干式离合器摩擦片温度分布[J].交通运输工程学报,2015,15(4):86-92.WANG Y Y,LIU X.Temperature distribution of friction plate for dry clutch[J].Journal of Traffic and Transportation Engineering,2015,15(4):86-92.
[7]卞大鹏,吴其俊.高速抱轨制动过程中摩擦片温度场研究[J].兵器装备工程学报,2015,36(6):70-73.BIAN D P,WU Q J.Temperature field analysis for brake pad in high-speed braking program holding the rail[J].Journal of Ordnance Equipment Engineering,2015,36(6):70-73.
[8]姚冠新,牛华伟.制动器摩擦片材料热物性参数对其温度场的影响[J].润滑与密封,2015,40(10):61-64.YAO G X,NIU H W.Effect of thermal parameters of friction plate on its brake temperature field[J].Lubrication Engineering,2015,30(10):61-64.
[9]吴凡,高晓敏,王天驰,等.离合器元件动态热负荷研究[C]//上海市机械工程学会成立50周年暨第二届上海机械工程科技论坛论文集.上海:上海市机械工程学会,2003.