Journal of Textile Research ›› 2019, Vol. 40 ›› Issue (01): 32-39.doi: 10.13475/j.fzxb.20171206308

• Textile Engineering • Previous Articles     Next Articles

Simulation and analysis of bave partition produced by dropping end based on combinatorics

HUANG Jiwei1,2, NING Wan'e1, ZHANG Feng2,3, ZUO Baoqi2,3()   

  1. 1. College of Biological and Chemical Engineering, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, China
    2. College of Textile and Clothing Engineering, Soochow University, Suzhou, Jiangsu 215006, China
    3. National Engineering Laboratory for Modern Silk(Suzhou), Suzhou, Jiangsu 215123, China
  • Received:2017-12-31 Revised:2018-09-06 Online:2019-01-15 Published:2019-01-18
  • Contact: ZUO Baoqi E-mail:bqzuo@suda.edu.cn

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Abstract:

In order to simulate the phenomenon that the merger of raw silk participated by bave in the forms of multiple segments and multiple times, and to provide reliable data about fineness sequence of filament for reeling simulation using a computer, based on the model of discrete dropping point of reeling and combinatorial theory, all subsets of bave dropping end point set were acquired, then a subset was corresponded to a bave dropping end partition modes, and the probability of artition model of dropping ends was calculated. The inverse transformation sampling method of an enumerated random variable distribution was employed to randomly sample partition models of dropping ends, making the simulation of partition dropping ends available. The simulation method is proved to be correct by means of statistical analysis for all dropping end patterns of bave and 100 million times partition simulation for dropping ends. Further, the dropping ends of 20 thousand of bave, with length in accordance with normal distribution, were simulated, confirming the accordance of the results with the distribution of the non-broken filament length of bave.

Key words: bave partition produced by dropping end, combinatorics, computer simulation of silk reeling, non-broken filament length, times of bave dropping end, size sequence of bave

CLC Number: 

  • TS143.2

Fig.1

Dropping nodes and probability of bave"

Fig.2

Dropping probability of bave dropping nodes with different reelability percent parameters"

Fig.3

Dropping probability of bave dropping nodes with different dropping uniformity parameters"

Fig.4

Dropping probability of bave dropping nodes with different dropping position parameters"

Tab.1

Some simple examples of bave dropping partition"

茧丝长 落绪节
点数		 落绪节
点母集		 落绪模
式子集		 落绪模式
的概率		 概率和
1 0 { } { } 1 1
2 1 {1} { } q2,1 1
{1} p2,1
3 2 {1,2} { } q3,1q3,2 1
{1} p3,1q3,2
{2} q3,1p3,2
{1,2} p3,1p3,2
4 3 {1,2,3} { } q4,1q4,2q4,3 1
{1} p4,1q4,2q4,3
{2} q4,1p4,2q4,3
{3} q4,1q4,2p4,3
{1,2} p4,1p4,2q4,3
{1,3} p4,1q4,2p4,3
{2,3} q4,1p4,2p4,3
{1,2,3} p4,1p4,2p4,3

Fig.5

Statistical overview of dropping times (a) and reelability length (b) of all dropping patterns at bave node dropping probabilities with different reelability percent parameter"

Fig.6

Statistical overview of dropping times (a) and reelability length (b) of all dropping patterns at bave node dropping probabilities with different dropping uniformity parameters"

Fig.7

Statistical overview of dropping times (a) and reelability length (b) of all dropping patterns at bave node dropping probabilities with different dropping position parameters"

Fig.8

Result of random partition simulation at fixed length of bave. (a) Number of bave dropping times; (b) Non-broken filament length"

Fig.9

Result of random partition simulation at normal distributed length of bave. (a) Number of bave dropping times;(b) Non-broken filament length"

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