吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (01): 241-245.doi: 10.13229/j.cnki.jdxbgxb201401039

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Numerical simulation of rough surfaces with non-linear conjugate gradient method

CHUI Ming-wei1, FENG You-qian2, LI Pei-lin1, XU Xiao-dong1, MA Jun-lin1   

  1. 1. School of Air and Missile Defense, Air Force Engineering University, Xi'an 710051, China;
    2. School of Science, Air Force Engineering University, Xi'an 710051, China
  • Received:2013-01-07 Online:2014-01-01 Published:2014-01-01

Abstract:

To meet the demands of large data of rough surfaces in the research of surface engineering and the characteristics of joint surfaces, a new numerical simulation method of 3D non-gaussian rough surfaces is proposed. Based on the assumed utocorrelation function (ACF), the non-linear equations are constructed for computing transformation matrix, and the improved non-linear conjugate gradient method is used to solve the equations. Then according to the assumed skewness, kurtosis and other statistical parameters of the rough surface, the 3D non-gaussian rough surfaces are generated by combining Johnson transformation system. The simulation results show that, the skewness and kurtosis relative errors of the simulated rough surfaces are less than 3%, the fitting result of ACF curves of simulated rough surfaces with the theoretical ACF is good. Using this method the rough surfaces with the given parameters of height and autocorrelation function can be accurately simulated.

Key words: information processing, rough surfaces, numerical simulation, non-linear conjugate gradient method, autocorrelation function

CLC Number: 

  • TN911

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