An SDE model for surface roughness progression

被引：0
|
作者：
Allen, E. J. [1 ]
机构：
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2020年 / 38卷 / 01期
关键词：
Roughness; SDE; model; deterioration; deposition; smoothing;
D O I：
10.1080/07362994.2019.1662805
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic differential equation (SDE) is derived for modeling the evolution of root mean square surface roughness, , for various deterioration, deposition, or smoothing processes. The model indicates, for deterioration, deposition, or smoothing, that where a and b are nonnegative constants. For small time, approximately changes linearly with time t but approaches a limiting (saturated) value as time increases. Roughness data for eight different physical processes support the model results.
引用
收藏
页码：171 / 178
页数：8
相关论文
共 50 条
  • [21] A model for surface roughness in ultraprecision hard turning
    Knuefermann, MMW
    CIRP ANNALS-MANUFACTURING TECHNOLOGY, 2004, 53 (01) : 99 - 102
  • [22] Establishment of a surface roughness model for ultraprecision turning
    Wang, Hongxiang
    Li, Dan
    Dong, Shen
    Gaojishu Tongxin/High Technology Letters, 2000, 10 (03): : 77 - 82
  • [23] A Physical Surface Roughness Model and Its Applications
    Gold, Gerald
    Helmreich, Klaus
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2017, 65 (10) : 3720 - 3732
  • [24] An SDE model for deterioration of rock surfaces
    Allen, E. J.
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2019, 37 (06) : 1012 - 1027
  • [25] Progression of the surface roughness of N+ silicon epitaxial films as analyzed by AFM
    John, S
    Quinones, EJ
    Ferguson, B
    Pacheco, K
    Mullins, CB
    Banerjee, SK
    EVOLUTION OF EPITAXIAL STRUCTURE AND MORPHOLOGY, 1996, 399 : 123 - 128
  • [26] Surface roughness model for worn inserts of face milling: Part I - Factors that affect arithmetic surface roughness
    Gu, J
    Barber, GC
    Jiang, QY
    Tung, S
    TRIBOLOGY TRANSACTIONS, 2001, 44 (01) : 47 - 52
  • [27] An Optimized SDE Model for Slotted Aloha
    Karmeshu
    Bhatnagar, Shalabh
    Mishra, Vivek Kumar
    IEEE TRANSACTIONS ON COMMUNICATIONS, 2011, 59 (06) : 1502 - 1508
  • [28] Distribution model of the surface roughness in magnetorheological jet polishing
    Hai, Kuo
    Li, Longxiang
    Hu, Haixiang
    Zhang, Zhiyu
    Bai, Yang
    Luo, Xiao
    Yi, Liqi
    Yang, Xi
    Xue, Donglin
    Zhang, Xuejun
    APPLIED OPTICS, 2020, 59 (28) : 8740 - 8750
  • [29] A Semianalytical Gradient Model for Characterization of Conductors With Surface Roughness
    Chen, Liang
    Tang, Min
    Mao, Junfa
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2018, 66 (12) : 5391 - 5398
  • [30] Probability Model for the intermolecular force with surface roughness considered
    Hua, Wei
    Liu, Bo
    Yu, Shengkai
    Zhou, Weidong
    TRIBOLOGY INTERNATIONAL, 2007, 40 (07) : 1047 - 1055
12345