Approximate expression method for anisotropy of structural surface roughness based on median number function

Abstract

The invention provides an approximate expression method for anisotropy of structural surface roughness based on median number function. The method comprises: obtaining the three-dimensional point cloud coordinate data of a structural surface; extracting the contour lines of structural surfaces in different sizes in different measuring directions and the coordinate data of the contour lines; measuring the structural surface roughness coefficient of each measurement section; in the condition of different sizes, making statistics and analysis of the structural surface roughness coefficients in the directions; calculating the statistical average value of the obtained structural surface roughness coefficients and the standard differences; using the sum of the statistical average value and the standard differences as the upper limit values and the differences as the lower limit values; drawing the anisotropy diagrams under the conditions of different sizes; fitting the upper limit values and the lower limit values in different directions through the use of an elliptic equation to obtain the expression of the median number function for the polar coordinates of the structural surface roughness coefficients; calculating and obtaining the interval range under different angle conditions; and obtaining the interval ranges of the roughness coefficients in all directions of the structural surfaces under conditions of different sizes. The method of the invention is capable of approximately expressing the uncertainty of the anisotropy of structural surface roughness.

Description

technical field [0001] The invention belongs to the field of engineering technology, and relates to a neutrosophic function expression method for structural surface roughness anisotropy. In particular, the present invention starts from the essence of structural surface roughness anisotropy and combines neutrosophic expression uncertainty Based on the advantages of the problem, a neutrosophic function expression method for the structural surface roughness in different directions is proposed. Background technique [0002] The mechanical properties of the structural surface of rock mass mainly depend on the rough undulation characteristics of the structural surface surface. How to accurately and comprehensively describe the roughness characteristics of the structural surface is the basic work for the study of the shear strength of the structural surface. However, due to the complexity of the geological conditions formed by the development of structural planes, it has inherent p...

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Problems solved by technology

[0007] However, the above studies did not take into account the statistical distribution of the structural surface roughness coefficient in all directions, and most of them only studied the anisotropic properties of the structural surface roughness of a single size, which cannot express the uncertainty of the anisotropy of the structural surface roughness coefficient. Uncertainty function equations for structural surface roughness in all directions have not been established

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