The development of computer controlled continuous rolling process calls for a mathematical expression that can express the inequality condition of ＂constant flow＂. Tension is the link of the continuous rolling proce...The development of computer controlled continuous rolling process calls for a mathematical expression that can express the inequality condition of ＂constant flow＂. Tension is the link of the continuous rolling process. From the condition of clynamic equilibrium, a differential equation of tension is given out. On the basis of the physical rules established from the industrial practice and experimental studies, the law of volume constancy, the linear relation of forward slip and tension, the state equation of continuous rolling, the formula of dynamic tension, and the formula of static tension have been obtained. These formulae reflect the functional relations between tensions, thickness, roll velocity, and time in the continuous rolling process. It is implied that the continuous rolling process is a gradually steady, controllable, and measurable dynamic system. An assumption of predicting the thickness of a steel plate using these tension formulae is also put forward.展开更多
In the carpet tufting machine,feed rollers are used to guide the yarns positively.After deducing the general Euler formula of yarn tension under positive guide of rollers,a conclusion is got that the tension of yarns ...In the carpet tufting machine,feed rollers are used to guide the yarns positively.After deducing the general Euler formula of yarn tension under positive guide of rollers,a conclusion is got that the tension of yarns at the output side of each roller tends to decrease one by one.Afterwards,a computing formula of wrap angle of yarn passing through the feed roller is deduced by application of triangle geometry method.By analyzing the effect of each parameter on the yarn tension,values of the space between rollers and the roller diameter are proposed for design reference,and relations between the yarn tension and the two key parameters,the friction coefficient of roller surface and the speed of rollers,are illustrated in detail.Consequently,a policy is drawn out to control the yarn tension.The results of this paper provide not only theory foundation for empirical settings of the operational parameters of tufting machine,but also theory support for further research on yarn tension-control methods.展开更多
文摘The development of computer controlled continuous rolling process calls for a mathematical expression that can express the inequality condition of ＂constant flow＂. Tension is the link of the continuous rolling process. From the condition of clynamic equilibrium, a differential equation of tension is given out. On the basis of the physical rules established from the industrial practice and experimental studies, the law of volume constancy, the linear relation of forward slip and tension, the state equation of continuous rolling, the formula of dynamic tension, and the formula of static tension have been obtained. These formulae reflect the functional relations between tensions, thickness, roll velocity, and time in the continuous rolling process. It is implied that the continuous rolling process is a gradually steady, controllable, and measurable dynamic system. An assumption of predicting the thickness of a steel plate using these tension formulae is also put forward.
文摘In the carpet tufting machine,feed rollers are used to guide the yarns positively.After deducing the general Euler formula of yarn tension under positive guide of rollers,a conclusion is got that the tension of yarns at the output side of each roller tends to decrease one by one.Afterwards,a computing formula of wrap angle of yarn passing through the feed roller is deduced by application of triangle geometry method.By analyzing the effect of each parameter on the yarn tension,values of the space between rollers and the roller diameter are proposed for design reference,and relations between the yarn tension and the two key parameters,the friction coefficient of roller surface and the speed of rollers,are illustrated in detail.Consequently,a policy is drawn out to control the yarn tension.The results of this paper provide not only theory foundation for empirical settings of the operational parameters of tufting machine,but also theory support for further research on yarn tension-control methods.
