節糸について-1-
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概要
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The present study has analyzed the roller draft in the slob yarn spinning, where the roller speed is not constant.<BR>The result obtained is as follows : <BR>ω<SUB>1</SUB>(t)=e<SUP>-∫v<SUB>1</SUB>(t)/∫<SUP>L</SUP><SUB>0</SUB>f<SUB>1</SUB>(x)dx<SUP>dt</SUP></SUP>{∫e<SUP>∫v<SUB>1</SUB>(t)/∫<SUP>L</SUP><SUB>0</SUB>f<SUB>1</SUB>(x)dx<SUP>dt</SUP></SUP>·v<SUB>2</SUB>(t)ω<SUB>2</SUB>/∫<SUB>0</SUB><SUP>L</SUP>f<SUB>f</SUB>(x)dx dt+A} <BR>ω(t)=ω<SUB>1</SUB>(t)f<SUB>1</SUB>(x)+ω<SUB>2</SUB>f2(x)<BR>where ω<SUB>1</SUB>= weight per unit length of the yarn spun, <BR> ω<SUB>2</SUB>=weight per unit length of the sliver fed, <BR>v<SUB>1</SUB>=speed of front roller<BR>v<SUB>2</SUB><BR>L=roller gauge<BR>ω=weight per unit length of the fleece at x between roller nips, <BR>t=length<BR>=integral constant<BR>Moreover, the factors deciding the form of stub has been revealed.