Optimization of Wind-Up Tension of Webs Preventing Wrinkles and SlippageSource: Journal of Manufacturing Science and Engineering:;2009:;volume( 131 ):;issue: 005::page 54501Author:Hiromu Hashimoto
DOI: 10.1115/1.4000096Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper describes the optimization method of wind-up tension to prevent wound roll defects, mainly star defects and slippage, based on the optimum design technique. Hakiel’s nonlinear model with air entrainment effects is applied to analyze in-roll stress distributions in the radial and tangential directions (1987, “ Nonlinear Model for Wound Roll Stresses,” Tappi J., 70(5), pp. 113–117). It is well known experimentally that a decrease in the wind-up tension prevents star defects due to negative tangential stress under winding. Thus, in the present optimization method, wind-up tension is gradually decreased in the radial direction to minimize the averaged value of tangential stresses under the constraint of non-negative tangential stresses. Furthermore, the relation of the slippage between wound film layers and in-roll stress of a roll is considered. Successive quadratic programming, which is the typical mathematical programming method, is used as the optimization technique. Wind-up tension is expressed by the third-order spline curve of a radial coordinate. The liner function with respect to the radial coordinate is used as the original wind-up tension. The optimized wind-up tensions are obtained for various winding conditions, and we confirmed that the in-roll stress distributions were very much improved for preventing wrinkles and slippage by the optimization method proposed.
keyword(s): Product quality , Stress , Optimization , Tension , Wind AND Winding (process) ,
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contributor author | Hiromu Hashimoto | |
date accessioned | 2017-05-09T00:34:03Z | |
date available | 2017-05-09T00:34:03Z | |
date copyright | October, 2009 | |
date issued | 2009 | |
identifier issn | 1087-1357 | |
identifier other | JMSEFK-28235#054501_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/141199 | |
description abstract | This paper describes the optimization method of wind-up tension to prevent wound roll defects, mainly star defects and slippage, based on the optimum design technique. Hakiel’s nonlinear model with air entrainment effects is applied to analyze in-roll stress distributions in the radial and tangential directions (1987, “ Nonlinear Model for Wound Roll Stresses,” Tappi J., 70(5), pp. 113–117). It is well known experimentally that a decrease in the wind-up tension prevents star defects due to negative tangential stress under winding. Thus, in the present optimization method, wind-up tension is gradually decreased in the radial direction to minimize the averaged value of tangential stresses under the constraint of non-negative tangential stresses. Furthermore, the relation of the slippage between wound film layers and in-roll stress of a roll is considered. Successive quadratic programming, which is the typical mathematical programming method, is used as the optimization technique. Wind-up tension is expressed by the third-order spline curve of a radial coordinate. The liner function with respect to the radial coordinate is used as the original wind-up tension. The optimized wind-up tensions are obtained for various winding conditions, and we confirmed that the in-roll stress distributions were very much improved for preventing wrinkles and slippage by the optimization method proposed. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Optimization of Wind-Up Tension of Webs Preventing Wrinkles and Slippage | |
type | Journal Paper | |
journal volume | 131 | |
journal issue | 5 | |
journal title | Journal of Manufacturing Science and Engineering | |
identifier doi | 10.1115/1.4000096 | |
journal fristpage | 54501 | |
identifier eissn | 1528-8935 | |
keywords | Product quality | |
keywords | Stress | |
keywords | Optimization | |
keywords | Tension | |
keywords | Wind AND Winding (process) | |
tree | Journal of Manufacturing Science and Engineering:;2009:;volume( 131 ):;issue: 005 | |
contenttype | Fulltext |