The web is supported and transported by using of many rollers in roll-to-roll manufacturing system. The idle roller plays a role in importing and changing the direction of the web movement and also in supporting the web transferring. The follow-up property of the idle roller is the moving synchronism between the roller and the web, and has an important impact on the web transferring accuracy and stability. In this paper, the follow-up time model of the circumferentially grooved roller is established. The effects of various parameters such as equivalent roughness, wrap angle, web tension, friction coefficient, web width, and groove parameters (groove number, groove width and groove depth) on the follow-up time of roller are analyzed. The results show that the follow-up property of the roller is better with the increasing of the equivalent roughness, the wrap angle, the friction coefficient and the web tension. Within a certain range, the follow-up property of the roller is worse with increasing the web width. The follow-up property of the roller can be improved by increasing the groove number, groove depth and groove width.
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