The thin-disc part is the common part of the rotary mechanism. Because of the large rotating radius of the thin-disc part, the huge unbalancing vector may be formed even if the unbalancing mass is small. So, the unbalance of the thin-disc part is the important exciting factor of the rotary mechanism vibration. Based on the structural characteristics of the thin-disc part, the measuring and estimating methods for the unbalancing vector of the thin-disc workpiece are proposed based on the single-face influence coefficient method. The least square method is introduced to fit the fundamental frequency component from the vibration monitoring signal, and the fundamental frequency component is taken as the unbalancing vibration signal of spindle first. The influence coefficient between the trial weight face and vibration monitoring point on the spindle is tested by trial weight experiments second. The unbalancing vibration difference of the spindle, before and after the thin-disc workpiece is clamped, is monitored and used to estimate the unbalancing vector of the thin-disc workpiece based on the linear reversible principle of unbalancing excitation and vibration response. The signal separation accuracy of the least square method for unbalancing vibration has been proved by simulation and experiment methods. Considering that the accuracy of the influence coefficient may be influenced by the change of the spindle system kinetic characteristic parameters, the signal measurement, analysis error, etc., the adaptive method for the influence coefficient is proposed and proved by the experiment method in the article. The research results show that the unbalancing vector of the thin-disc workpiece can be measured and estimated before the workpiece is taken down from the machine tool spindle. The proposed method can be used to measure and estimate the unbalancing vector of the thin-disc workpiece without dynamic balancing machine, and the measuring efficiency and accuracy can be improved; the measuring cost can be reduced.

光盘部分是旋转机构的共同部分。由于薄盘部分的大旋转半径，即使不平衡质量很小，也可能形成巨大的不平衡矢量。因此，薄盘部分的不平衡是旋转机构振动的重要激励因素。针对薄板零件的结构特点，提出了基于单面影响系数法的薄板工件不平衡矢量的测量与估算方法。引入最小二乘法，从振动监测信号中拟合出基频分量，并以基频分量为主轴的不平衡振动信号。其次，通过试压试验来测试试压面和主轴上的振动监测点之间的影响系数。监视主轴在夹持薄盘工件之前和之后的不平衡振动差，并根据不平衡激励和振动响应的线性可逆原理来估算薄盘工件的不平衡矢量。通过仿真和实验方法证明了最小二乘方法用于不平衡振动的信号分离精度。考虑到主轴系统动力学特性参数，信号测量，分析误差等的变化可能会影响影响系数的准确性，提出了影响系数的自适应方法，并通过实验方法进行了证明。研究结果表明，在从机床主轴上取下工件之前，可以测量和估计薄盘工件的不平衡矢量。该方法可用于没有动平衡机的薄板工件不平衡矢量的测量和估计，提高了测量效率和精度。可以降低测量成本。可以提高测量效率和精度；可以降低测量成本。可以提高测量效率和精度；可以降低测量成本。