Novel rotational speed measuring method based on micro-indentation-shaft detected by optical coherent system

Accurate rotational speed measurement is a prerequisite for realizing the condition monitoring and fault diagnosis of rotating equipment. This study proposes a novel rotational speed measurement method based on optical coherent displacement measurement. An optical coherence system is used to measure the relative depth of the shaft surface with uniformly etched micro-indentations on the circumferential surface. Fast Fourier transform (FFT) and the Hanning window energy centrobaric method (HnWECM) are used to process the collected photoelectric signals to obtain depth information and thereby realize the measurement of surface micro-indentations. During the operation, the rotational speed of the shaft is obtained by calculating the ratio of the angular difference between the relative depth of the rectangular pulses of the surface and the time interval. The experimental validation of the response is performed. The experimental results show that in the range of 0 rpm to 60 rpm, the indication error is <1 %, the nonlinearity error is <0.3584 %, and the repeatability error is <0.28 %. In the range of 0 rpm to 600 rpm, the rotational speed measurement method performed well with an indication error of <0.5 %, a maximum nonlinear error of 0.22 %, and a repeatability error of no >0.28 %. Compared with the results reported in existing literature, the proposed method offers advantages in terms of accuracy, linearity, and repeatability.