Structure function methodSimulation of multivariate nonstationary wind speedsWeierstrass mandelbrot functionThis paper proposes a fractal-based technique for simulating multivariate nonstationary wind fields by
On the Weierstrass-Mandelbrot Fractal Function 1980 , published 24 April , doi: 10.1098/rspa.1980.0044370 1980 Proc. R. Soc. Lond. A M. V. Berry and Z. V. Lewis On the Weierstrass-Mandelbrot Fractal Function References http://rspa.royalsocietypublishing.org/content/370/1743/459#...
Weierstrass-Mandelbrot （维斯特拉斯-曼德勃罗特）分形曲⾯的计算公式如下 例如当Ds为2.3，lambda为1.5时 ⽣成该随机曲⾯的函数代码如下，对⽆穷级数，取前nmax项作为近似。function genWM(Ds,lambda,nmax)%GENWM ⽣成W-M 随机曲⾯ % 此处显⽰详细说明 % lambda % Ds 分形维数 if ...
Weierstrass-Mandelbrot 分形曲面MATLAB程序 Weierstrass-Mandelbrot (维斯特拉斯-曼德勃罗特)分形曲面的计算公式如下 例如当Ds为2.3,lambda为1.5时 生成该随机曲面的函数代码如下,对无穷级数,取前nmax项作为近似。 functiongenWM(Ds,lambda,nmax)%GENWM 生成W-M 随机曲面% 此处显示详细说明% lambda% Ds 分形维数ifnarg...
Mandelbrot, B.: Fractals: Form, Chance, and Dimension. W. H. Freeman and Co., San Francisco (1977) MATH Google Scholar Mauldin, R.D., Williams, S.C.: On the Hausdorff dimension of some graphs. Trans. Am. Math. Soc. 298(2), 793–803 (1986) Article MathSciNet Google Scholar ...
Fractal roughness effects on nanoscale grinding Rough surface profiles have been generated using the multivariate Weierstrass-Mandelbrot function while the abrasive has been modelled as a trapezoid. The ... M Papanikolaou,K Salonitis - 《Applied Surface Science》 被引量: 0发表: 2019年 Fractals And ...
offunctionisan importantsubject infractal geometry.In thisthesiswe study SOlTle Wbierstrass—type functionsandtheir graphs. Firstly.wepresent thenotionsandbasic properties ofHausdorffdi— mensionand box-dimension.Secondly weestimatetheosillationof Weierstrass—type ...
基于Weierstrass-Mandelbrot函数与实测点数据, 构建了三维真实表面模型, 进行了单板焊接温度场的数值模拟。实验结果表明, 随着试件表面粗糙度的增加, 焊接质量下降。模拟结果表明, 粗糙表面比光滑表面先到达最高温度, 而光滑表面的最高温度高于粗糙表面的; 随着焊接速率的增大, 焊接温度整体减小, 且具有不同粗糙度的...
Weierstrass-Mandelbrot函数 1. In time domain,based on fractal theory,Weierstrass-Mandelbrot functionis used to reconstruct wind speed time history,the characteristic of reconstructed time history sample can basically conform with that of natural wind,so as to improve the fractal characteristic study of ...
particle-particle interactions results in a dispersion relation of the form of a Weierstrass-Mandelbrot function that exhibits self-similar and fractal features... TM Michelitsch,GA Maugin,FCGA Nicolleau,... - 《Physical Review E Statistical Nonlinear & Soft Matter Physics》 被引量: 82发表: 200...