Inner/outer cylindrical surface parts are often applied into all kinds of machines. The bending deformation of these parts will affect the working performance and service life of the machine. A non-contact measuring method only using a displacement sensor and a guide rail for bending deflection is proposed in this paper. A peak-valley enveloping algorithm derived through rigorous mathematical molding and analysis can be utilized to obtain the eccentricity, direction and the corresponding cross-section position, and then the axis deflection curve can be determined. The error analysis of numerical simulation results shows that the method proposed in this paper can feature a high accuracy by setting appropriate operation parameters. Then, a specialized experiment is carried out to prove the correctness and reliability of the measuring method proposed by comparing with commercial instrument results. Finally, a parameter design method is provided to match the algorithm calculation time and measuring accuracy.

内/外圆柱表面零件通常应用于各种机器。这些零件的弯曲变形会影响机器的工作性能和使用寿命。提出了一种仅使用位移传感器和导轨进行弯曲变形的非接触式测量方法。通过严格的数学造型和分析得出的峰谷包络算法可以得到偏心率，方向和相应的横截面位置，然后确定轴的偏转曲线。数值模拟结果的误差分析表明，本文提出的方法通过设置适当的操作参数可以具有较高的精度。然后，进行了专门的实验，与商用仪器结果进行比较，证明了所提出的测量方法的正确性和可靠性。最后，提供了一种参数设计方法来匹配算法的计算时间和测量精度。