Abstract
The analysis of rough surface morphology plays an important role in the functional characteristics of the contact surface of mechanical parts. Fractal geometry method is more accurate and sensitive than classical statistics model. For fractal representation of rough surface, it is necessary to determine the proper fractal dimension calculation method. In this research, the effect of power spectral density method is studied based on Monte-Carlo method. The fractal dimensions are calculated, the theoretical and the calculated values are compared with paired samples. And the results are compared by non-parametric test. The result shows that power spectral density method has good characterization effect on fractal simulation contour curve. In addition, the precision of fractal dimension of power spectral density is related to fractal dimension of contour theory. The estimation methods of classical power spectral density have different application range.
Highlights
Contact mechanics of rough surfaces is important in studying and modeling physical phenomena such as thermal and electrical conductivity, friction, adhesion, wear, etc
The traditional surface morphology has many parameters. It can be divided into three types, geometric parameters, shape parameters and random process parameters [1,2]
Geometric parameters and shape parameters change as the sample size and measurement scale change
Summary
Contact mechanics of rough surfaces is important in studying and modeling physical phenomena such as thermal and electrical conductivity, friction, adhesion, wear, etc. The fractal dimension of surface profile can effectively overcome scale correlation of traditional roughness parameters. ZHU Hua calculates the fractal dimension and scale coefficient of wear surface profile by structural function method. He gives the characteristic roughness calculation expression and does the wear test on the test machine. The basic idea of Monte-Carlo method is to establish a probabilistic model or stochastic process, to calculate the statistical characteristics of the desired parameters in the model sampling test, and to give the approximate value of the solution. The simulated surface contour curve of different fractal dimension is based on W-M function, and the Monte-Carlo method. The results can provide a theoretical reference for the accurate characterization of the characteristic roughness
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