Title :
Based on the NCGM Method of the Gaussian 3-d Rough Surface Numerical Simulation
Author :
Liao Dongri ; Tang Jinyuan ; Zhou Wei
Author_Institution :
State Key Lab. of High Performance Complex Manuf., Central South Univ., Changsha, China
Abstract :
This paper uses the time series model and linear matrix transformation method to generate three dimensional rough surface numerically. Assume that the autocorrelation function of the surface is exponential type. In order to reduce the memory requirements and for easy convergence, the non-linear Conjugate Gradient (NCGM) method is used to solve the non-linear systems. To illustrate the numerical procedure, a rough surface having a Gaussian height distribution and an exponential autocorrelation function (ACF) is generated.
Keywords :
Gaussian distribution; computational geometry; conjugate gradient methods; mechanical engineering computing; nonlinear systems; rough surfaces; time series; ACF; Gaussian 3d rough surface numerical simulation; NCGM method; exponential autocorrelation function; linear matrix transformation method; nonlinear conjugate gradient method; three dimensional rough surface numerical simulation; time series model; Convergence; Correlation; Mathematical model; Numerical models; Rough surfaces; Surface roughness; Surface treatment; Autocorrelation function; NCGM method; Rough surface; Time series;
Conference_Titel :
Measuring Technology and Mechatronics Automation (ICMTMA), 2013 Fifth International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4673-5652-7
DOI :
10.1109/ICMTMA.2013.83
