A NUMERICAL PROCEDURE TO GENERATE
NON-GAUSSIAN ROUGH SURFACES
Machine Design, Technical University of Iaşi, ROMANIA
The paper presents an algorithm for computer
simulation of non-Gaussian surfaces. By using a random number
generator, a input matrix is formed as a first representation of a
Gaussian roughness with zero mean, and unit standard deviation. The
autocorrelation function was assumed to have an exponential form. To
fulfill this requirement, in the first step, the matrix containing
the roughness heights was obtained by a linear transformation of the
input matrix. In the second step the skewness and kurtosis of the
input sequence have been established for the desired skewness and
kurtosis of an output sequence. Finally the non-Gaussian random
series have been generated by using the Johnson translator system.
The numerical results pointed out that the developed algorithm can
be further used to simulate manufacturing processes that produce
real surfaces which may present a non-Gaussian distribution, as well
as the abrasive wear and running in phenomena.
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