The invention discloses a forward calculation-based
gear tooth surface
waviness Fourier analysis error interval evaluation method, which comprises the following steps of: firstly, constructing an isomorphic
evaluation data set, and statistically analyzing the distribution characteristics of actual sampling intervals to determine a
frequency domain credible range; the core of the method is that Monte Carlo forward modeling is introduced, and
systematic deviation and random fluctuation caused by sampling interval fluctuation to a
frequency spectrum are quantified. Based on this, a heterovariance normal
distribution model of the measured amplitude is established, the maximum likelihood
estimation is utilized to reversely deduce the true value of the amplitude, and the pivot
vector method is adopted to calculate the error interval of the amplitude of the key frequency point under the predetermined confidence level. Furthermore, the optimal sampling length and the
resampling interval are optimized and determined through forward modeling calculation. According to the method, the limitation that only a single spectrum result can be given in traditional measurement is broken through, quantitative calibration of errors introduced into a measurement
system is achieved, a reliability
evaluation result with a
confidence interval is provided, and a closed-
loop optimization decision basis can be provided for measurement instrument selection and parameter setting.