全矢谱技术及其在转子动平衡领域的应用研究
发布时间：2018-11-22 12:12
【摘要】：目前,大型旋转机械设备正向着高功效、大功率、高精度和自动化等方向快速发展,而转子作为旋转机械的核心部件,其动平衡问题也愈发重要。然而基于单源信息的传统动平衡方法,由于获取不平衡分量的精度不高,平衡效果评价方式存在弊端。针对这些问题,将传统影响系数法和全矢谱技术相结合,提出了全矢动平衡方法,然后通过转子动力学特性和影响系数矩阵条件数的研究,从理论上证明了全矢动平衡的精度高于传统平衡方法,并提出了最佳平衡面位置的选择,进一步提高了全矢动平衡的精度,本文的主要研究工作包括： 1、通过对存在质量偏心的单圆盘转子系统建模,研究了转子不平衡故障机理,进一步分析了刚性和柔性转子的影响系数法,论证了基于单源信息的传统影响系数法必然产生的种种弊端,针对这些弊端的根源,将全矢谱信息融合技术与影响系数法相结合,提出了全矢动平衡方法,并讨论了全矢不平衡响应的快速算法,提高了动平衡的精度和效率。 2、介绍了转子-支承系统的模化方法,建立了模型的动力学方程,并采用有限元软件ANSYS模拟了转子-轴承系统,进而对其进行动力学分析,并在此有限元模型上进行了转子系统双圆盘、三圆盘虚拟动平衡研究。 3、通过对转子动力学模型分析,推导了影响系数矩阵的数学公式,证明了影响系数矩阵条件数可以衡量动平衡的精度,即同一测量精度下,条件数愈小,平衡精度愈高。并分别在ANSYS模拟的转子动平衡模型和BENTLY转子实验台上进行了全矢动平衡法和传统影响系数法的转子动平衡实验,其结果表明,全矢动平衡方法的条件数小于传统的单通道平衡方法,从而在理论上证明了全矢动平衡方法精度高。 4、通过对转子系统振型分析,得出前四阶振型和不平衡响应,经过分析可知,平衡面位置的选择会对影响系数矩阵性质有决定性作用,从而提出了根据转子振型来确定最佳平衡面位置的方法,进一步提高了全矢动平衡的精度,最后在ANSYS模拟的转子模型进行了双圆盘和三圆盘动平平衡验,证明了该结论。
[Abstract]:At present, large rotating machinery is developing rapidly in the direction of high efficiency, high power, high precision and automation. As the core part of rotating machinery, the dynamic balance of rotor is becoming more and more important. However, the traditional dynamic balancing method based on single source information has some disadvantages because of the low precision of obtaining unbalanced components. In order to solve these problems, the traditional influence coefficient method and the total vector spectrum technique are combined, and then the dynamic characteristics of rotor and the condition number of the influence coefficient matrix are studied. It is proved theoretically that the accuracy of total vector balance is higher than that of traditional equilibrium method, and the selection of optimal balance plane position is proposed, which further improves the accuracy of total vector balancing. The main research work of this paper includes: 1. By modeling the single disk rotor system with mass eccentricity, the rotor unbalance fault mechanism is studied, and the influence coefficient method of rigid and flexible rotor is further analyzed. In this paper, the disadvantages of the traditional influence coefficient method based on single source information are demonstrated. Aiming at the root of these drawbacks, the full vector balance method is proposed by combining the full vector spectrum information fusion technique with the influence coefficient method. The fast algorithm of full vector unbalanced response is discussed, and the accuracy and efficiency of dynamic balance are improved. 2. The modeling method of rotor-bearing system is introduced, the dynamic equation of the model is established, the rotor-bearing system is simulated by finite element software ANSYS, and the dynamic analysis is carried out. Based on the finite element model, the virtual dynamic balance of the rotor system with double disks and three disks is studied. 3. By analyzing the rotor dynamic model, the mathematical formula of the influence coefficient matrix is derived, and it is proved that the condition number of the influence coefficient matrix can measure the accuracy of dynamic balance, that is, the smaller the condition number is, the higher the balance precision is. The rotor dynamic balancing experiments of ANSYS simulation and BENTLY rotor test bench are carried out, respectively. The results show that the method of full vector balancing and the traditional influence coefficient method are used to balance the rotor. The condition number of the full vector balancing method is smaller than that of the traditional single channel equilibrium method, so it is proved theoretically that the full vector balancing method has high accuracy. 4. Through the mode analysis of the rotor system, the first four order modes and the unbalance response are obtained. Through the analysis, it can be concluded that the choice of the position of the balance plane will play a decisive role in the properties of the influence coefficient matrix. The method of determining the optimal position of the balance surface according to the rotor mode is put forward, and the accuracy of the full vector balancing is further improved. Finally, the double disk and three disk dynamic plane balance test is carried out in the rotor model simulated by ANSYS, and the conclusion is proved.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH165.3
[Abstract]:At present, large rotating machinery is developing rapidly in the direction of high efficiency, high power, high precision and automation. As the core part of rotating machinery, the dynamic balance of rotor is becoming more and more important. However, the traditional dynamic balancing method based on single source information has some disadvantages because of the low precision of obtaining unbalanced components. In order to solve these problems, the traditional influence coefficient method and the total vector spectrum technique are combined, and then the dynamic characteristics of rotor and the condition number of the influence coefficient matrix are studied. It is proved theoretically that the accuracy of total vector balance is higher than that of traditional equilibrium method, and the selection of optimal balance plane position is proposed, which further improves the accuracy of total vector balancing. The main research work of this paper includes: 1. By modeling the single disk rotor system with mass eccentricity, the rotor unbalance fault mechanism is studied, and the influence coefficient method of rigid and flexible rotor is further analyzed. In this paper, the disadvantages of the traditional influence coefficient method based on single source information are demonstrated. Aiming at the root of these drawbacks, the full vector balance method is proposed by combining the full vector spectrum information fusion technique with the influence coefficient method. The fast algorithm of full vector unbalanced response is discussed, and the accuracy and efficiency of dynamic balance are improved. 2. The modeling method of rotor-bearing system is introduced, the dynamic equation of the model is established, the rotor-bearing system is simulated by finite element software ANSYS, and the dynamic analysis is carried out. Based on the finite element model, the virtual dynamic balance of the rotor system with double disks and three disks is studied. 3. By analyzing the rotor dynamic model, the mathematical formula of the influence coefficient matrix is derived, and it is proved that the condition number of the influence coefficient matrix can measure the accuracy of dynamic balance, that is, the smaller the condition number is, the higher the balance precision is. The rotor dynamic balancing experiments of ANSYS simulation and BENTLY rotor test bench are carried out, respectively. The results show that the method of full vector balancing and the traditional influence coefficient method are used to balance the rotor. The condition number of the full vector balancing method is smaller than that of the traditional single channel equilibrium method, so it is proved theoretically that the full vector balancing method has high accuracy. 4. Through the mode analysis of the rotor system, the first four order modes and the unbalance response are obtained. Through the analysis, it can be concluded that the choice of the position of the balance plane will play a decisive role in the properties of the influence coefficient matrix. The method of determining the optimal position of the balance surface according to the rotor mode is put forward, and the accuracy of the full vector balancing is further improved. Finally, the double disk and three disk dynamic plane balance test is carried out in the rotor model simulated by ANSYS, and the conclusion is proved.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH165.3
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