轧钢机接轴转动能量传输信息模型的研究
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摘要
轧钢机接轴转动能量传输信息模型的研究是对轧钢机主传动系统进行优化设计、性能分析、故障监控和工艺控制的基础。对于解决目前轧钢机接轴的粗放设计、运行不稳，扭振等现象具有重要意义。其基本原理还可应用于其它回转机械系统，如：船舶、汽轮机、航空等领域。本文系统地研究了轧钢机接轴转动机械能量传输的特点及性态，建立了反映各类载荷作用下能量流动特点和性态变化的转动能量传输信息模型，建立能量传输信息获取能力评价准则。
本文首先针对轧钢机接轴进行了建模，将其抽象为一般弹性圆柱体，运用动力学普遍方程(拉格朗日Lagrange方程)，建立了圆柱体微段转动能量传输信息模型。继而通过伽利略坐标变换方法获得了圆柱体在不同坐标系下的转动能量传输信息模型，建立了模型之间的相似关系，给出了余弦激励条件下的解析解。
随后用矩阵分析方法，又获得了信息模型解析解的积分形式表达式；将轧钢机接轴的复杂工况抽象为突变载荷和周期载荷，获得了相应载荷作用下圆柱体两端面转角和转动角速度的具体解析解。
针对急剧冲击和大范围转动的特点，将圆柱体转动能量传输信息模型扩展建立在相对论基础上，建立了相对论性转动能量传输信息模型及其在不同坐标系下的转换模型。
针对轧钢机接轴传递的扭转波，对一般获取能量传输信息方法获取能力进行了研究，得出了圆柱体扭转波的余弦、正弦、指数衰减、指数衰减驻波分量传播的获取信号表达式，求出了弯曲波的余弦、正弦、指数衰减、指数衰减驻波各分量传播的获取表达式。针对获取信号水平定义了泄露频率、泄露波长、波长集聚性、泄露能量等概念，并对信息获取能力给出了评价准则和进一步提高获取能力的途径。
最后，本文用Matlab软件对得出的转动能量传输信息模型进行了仿真，模拟了相对转动能量传输信息模型和相似转动能量传输信息模型的自由振动和强迫振动两种运动方式；模拟分析了扭转波获取能力的分析结果，包括扭转波的余弦、正弦、指数衰减、指数衰减驻波分量等，获得了满意的结果。
本文通过建立圆柱体转动能量传输信息模型，找到了转动机械能量参数和测控仪器所能捕获实际信号之间联系的桥梁；实现了从物理性态参数(表征转动机械能量)到测控仪器实际可控参数(表征信息获取的信号)之间的能量动态传递的有效表达，使轧钢机接轴转动机械能量传输与传输信息获取得到有机的结合。
Research on the model of rotational energy transmission information for rolling mills’ power transmission shaft is main drive system of foundation on the rolling mill , whose function is optimum design , performance analysis , failure monitor and process-control . It is important role for rough design , fluctuation of service , torsional vibration on the rolling mill ,whose basic principle is also applied for other rotational mechanical system , for instance , ship craft field , steam turbine field , aviation field , and etc . This paper studied the characteristic and nature diversification of power transmission , at the meantime , it established the model of rotation energy transmission information , the value criterion , concerning about every possible load factor .
First , this paper established the model of rotation energy transmission information for the generalized cylinder unit utilized Lagrange equation and elastic condition , subsequently , which obtained the model of rotation energy transmission information for the generalized cylinder unit under different coordinate systems by means of Galilean coordinate conversion , and furthermore , it give out analytic solution under the excitation condition . Moreover , by means of matrix analysis,it obtained integral expression . When abstracting complicated working condition of the rolling mill into the mutagenic load or periodic load , this paper obtained concrete analytic solution about rotation angle or rotational velocity of cylinder end surface under the counterpart load .
Second , considering impact and violent range rotation , this paper extended and established the relativistic model of rotation energy transmission information for the generalized cylinder unit , which obtained the relativistic model of rotation energy transmission information for the generalized cylinder unit under different coordinate systems .
Based on the research of torsional wave and flexural wave of the transmission shaft , this paper obtained expression of theirs on the sine wave , the cosine wave , the exponential decrease wave , the exponential decrease seiche wave . It not only defined leakage frequency , leakage wave length , habitat wave length and leakage energy , but also give out value-criterion and approach to improve more survey precision .
Third , this paper emulated the established the model of rotation energy transmission information based on Matlab , also verified relative and similar model of rotation energy transmission information in condition of free vibration and forced vibration . Moreover , it
emulated captured ability of torsional wave include component of the sine wave, the cosine wave , the exponential decrease wave, the exponential decrease seiche wave , and gained satisfied result .
At last but not least , this paper put up a bridge communicated variable attributed by rotational energy and reality signal captured by apparatus by means of Galilean coordinate conversion and matrix decoupling . This research finished availability expression from physics quantity to reality variable and the important association cultivated the connection from the rotational mechanical energy to the information captured of the rolling mill .
本文首先针对轧钢机接轴进行了建模，将其抽象为一般弹性圆柱体，运用动力学普遍方程(拉格朗日Lagrange方程)，建立了圆柱体微段转动能量传输信息模型。继而通过伽利略坐标变换方法获得了圆柱体在不同坐标系下的转动能量传输信息模型，建立了模型之间的相似关系，给出了余弦激励条件下的解析解。
随后用矩阵分析方法，又获得了信息模型解析解的积分形式表达式；将轧钢机接轴的复杂工况抽象为突变载荷和周期载荷，获得了相应载荷作用下圆柱体两端面转角和转动角速度的具体解析解。
针对急剧冲击和大范围转动的特点，将圆柱体转动能量传输信息模型扩展建立在相对论基础上，建立了相对论性转动能量传输信息模型及其在不同坐标系下的转换模型。
针对轧钢机接轴传递的扭转波，对一般获取能量传输信息方法获取能力进行了研究，得出了圆柱体扭转波的余弦、正弦、指数衰减、指数衰减驻波分量传播的获取信号表达式，求出了弯曲波的余弦、正弦、指数衰减、指数衰减驻波各分量传播的获取表达式。针对获取信号水平定义了泄露频率、泄露波长、波长集聚性、泄露能量等概念，并对信息获取能力给出了评价准则和进一步提高获取能力的途径。
最后，本文用Matlab软件对得出的转动能量传输信息模型进行了仿真，模拟了相对转动能量传输信息模型和相似转动能量传输信息模型的自由振动和强迫振动两种运动方式；模拟分析了扭转波获取能力的分析结果，包括扭转波的余弦、正弦、指数衰减、指数衰减驻波分量等，获得了满意的结果。
本文通过建立圆柱体转动能量传输信息模型，找到了转动机械能量参数和测控仪器所能捕获实际信号之间联系的桥梁；实现了从物理性态参数(表征转动机械能量)到测控仪器实际可控参数(表征信息获取的信号)之间的能量动态传递的有效表达，使轧钢机接轴转动机械能量传输与传输信息获取得到有机的结合。
Research on the model of rotational energy transmission information for rolling mills’ power transmission shaft is main drive system of foundation on the rolling mill , whose function is optimum design , performance analysis , failure monitor and process-control . It is important role for rough design , fluctuation of service , torsional vibration on the rolling mill ,whose basic principle is also applied for other rotational mechanical system , for instance , ship craft field , steam turbine field , aviation field , and etc . This paper studied the characteristic and nature diversification of power transmission , at the meantime , it established the model of rotation energy transmission information , the value criterion , concerning about every possible load factor .
First , this paper established the model of rotation energy transmission information for the generalized cylinder unit utilized Lagrange equation and elastic condition , subsequently , which obtained the model of rotation energy transmission information for the generalized cylinder unit under different coordinate systems by means of Galilean coordinate conversion , and furthermore , it give out analytic solution under the excitation condition . Moreover , by means of matrix analysis,it obtained integral expression . When abstracting complicated working condition of the rolling mill into the mutagenic load or periodic load , this paper obtained concrete analytic solution about rotation angle or rotational velocity of cylinder end surface under the counterpart load .
Second , considering impact and violent range rotation , this paper extended and established the relativistic model of rotation energy transmission information for the generalized cylinder unit , which obtained the relativistic model of rotation energy transmission information for the generalized cylinder unit under different coordinate systems .
Based on the research of torsional wave and flexural wave of the transmission shaft , this paper obtained expression of theirs on the sine wave , the cosine wave , the exponential decrease wave , the exponential decrease seiche wave . It not only defined leakage frequency , leakage wave length , habitat wave length and leakage energy , but also give out value-criterion and approach to improve more survey precision .
Third , this paper emulated the established the model of rotation energy transmission information based on Matlab , also verified relative and similar model of rotation energy transmission information in condition of free vibration and forced vibration . Moreover , it
emulated captured ability of torsional wave include component of the sine wave, the cosine wave , the exponential decrease wave, the exponential decrease seiche wave , and gained satisfied result .
At last but not least , this paper put up a bridge communicated variable attributed by rotational energy and reality signal captured by apparatus by means of Galilean coordinate conversion and matrix decoupling . This research finished availability expression from physics quantity to reality variable and the important association cultivated the connection from the rotational mechanical energy to the information captured of the rolling mill .
引文
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