Dancer rollers are widely used in the textile, paper and other industries to detect the difference in running speed of a material between the let-off and take-up rollers.
If the running speed of a material increases, and if a material processed is more stretchable, then use of dancer rollers as a detector of the speed difference in a control loop is accompanied by these unfavorable phenomena described below: (1) The amplitude of variations in the tension of the running material and in the dancer roller
displacement increases due to the roller mass and the elasticity of the running material. (2) The running material slackens and the dancer roller jumps. (3) Slippage occurs between the dancer roller and the running material, resulting in variations in speed and tension of the running material.
Such phenomena are inexplicable by considering the static characteristics alone of dancer roller, but call for inquiry into their dynamic characteristics also. Assuming the deformation property of the running material to be linearly elastic, the phenomena mentioned above can be analyzed theoretically. The theoretical results are described and compared with experiments. A fairly good agreement between them is proved.
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