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理想纱条的数学建模 被引量:5

Methematical Model for the Ideal Sliver
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摘要 通过时纤维的线密度引入平稳过程和窗函数两个概念,提出了纤维的一种数学模型.在此基础上,对理想纱条的假设条件作了减弱,建立了一种更具普遍意义的理想纱条的数学模型. The assumptions to the definition of the ideal sliver are weakened and a new mathematical model of the ideal sliver which is more widely applicable than the presently used one is presented by introducing the stationary processes and the time windows to the fibres. Based on this model, more complicated statistical properties of the ideal sliver are possible to be discussed.
作者 邱燕炜
出处 《中国纺织大学学报》 CSCD 1999年第3期6-9,共4页 Journal of China Textile University
关键词 纱条 数学模型 纤维 线密度 理想纱条 ideal sliver, methematical modelling, statistical analysis
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参考文献3

  • 1邱燕炜,博士学位论文,1993年
  • 2刘树琪,天津纺织工学院学报,1984年,3卷,2期,1页
  • 3浙江大学数学系高等数学教研组,概率论与数理统计,1979年,149页

同被引文献18

  • 1李荣祥 钟智丽 等.光电式纱线均匀度测试仪微机系统[M].天津纺织工学院,1995(1).6-14.
  • 2邱燕炜,博士学位论文,1993年
  • 3陈鸿彬,信息与系统.上,1980年,54页
  • 4Martindale J G. A new method of measuring the irregularity of yarns with some observations on the origin of irregularities in wor- sted slivers and yarns [ J ]. Journal of the Textile Institute, 1945 ( 36 ) :35 - 47.
  • 5Brown G H, Ly G N. Statistics for the number of fiber ends in a Segment of a random assembly of aligned fibers [ J ]. Textile Re- search Journal, 1985,55 (4) : 206 - 210.
  • 6Suh M W. Probabilistic assessment of irregularity in random fiber arrays-effect of fiber length distribution on "variance-length curve" [ J ]. Textile Research Journal, 1976 ( 45 ) : 291 - 298.
  • 7Zeidman M, Suh M W, Batra S K. A new perspective on yarn unevenness: components and determinants of general unevenness [ J ]. Textile Research Journal, 1998,56 (4) : 1 - 6.
  • 8Yan G S, Zhu J Z, Yu C W. A new approach to theoretical yarn unevenness: a binomial distribution model [ J ]. Journal of the Textile Institute,2010,101 (8) : 753 - 757.
  • 9Kuang X,Yan G,Jiang Z, et al. A new mathematical expression of yarn limit unevenness[J]. Fibers and Polymers, 2013, 14 ( 11 ) : 1943 - 1946.
  • 10Rao S J. The mathematical model for the ideal sliver and its applications to the theory of roller drafting[ J ]. Journal of the Textile Institute, 1961 (52) :570 - 600.

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