Interaction of Web Spans: Part I—Statics

Young, G. E.; Shelton, John W.; Fang, B.

doi:10.1115/1.3153079

Cited by 14 publications

(8 citation statements)

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“…The asymptotical stability is not attainable with only one input u,, so one more input z, is required. With normally defined state variables, the state space form will not be the one in Equation 6. Alternatively, the state vector x = [YI ~I it Y2 y2]T, the input vector u = [Ul ~lf, and the output vector y = [ y2 y2]T are selected.…”

Section: Simulation Resultsmentioning

confidence: 98%

“…Alternatively, the state vector x = [YI ~I it Y2 y2]T, the input vector u = [Ul ~lf, and the output vector y = [ y2 y2]T are selected. Including t, in the state vector x yields the same state space form as Equation 6, while the evolution of the system is completely described. Thus, we can apply DDPS to this system.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Then, P C v* leads to QP of the same partitioned form as QT. Applying the orthogonal transformation x = Qx to Equation 6, the system can be represented in the following form: u = ~~, and k = KQ-~ . Clearly y is affected by X2 only.…”

Section: Mathematical Modelmentioning

confidence: 99%

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Decoupling Fabrics in Alignment from Deflection Disturbances

Huang

Chen

2000

Textile Research Journal

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A procedure is proposed for decoupling fabric in alignment during processing from all possible deflection disturbances. The dynamics of lateral deflection for a two-span system is mathematically described and refined to compensate for modeling errors through a parameter estimation algorithm. A disturbance decoupling problem with stability (DOPS) is adopted to eliminate the effect of deflection disturbances on a fabric that is to be fed into a process machine in a desired alignment, while the resulting closed-loop system is stable. The simulation results demonstrate that DDPS enables the fabric to stay in alignment by both shifting and swiveling a guiding roller.Lateral deflection control of fabric during processing plays a critical role in aligning the edge for winding, coating, drying, printing, and other processes [9]. Typically, fabric moving in a desired alignment is an assurance of speedy processing, high product quality, and unnecessary wear and tear of the product. Thus, it is desirable that lateral deflection be corrected so that the fabric is fed into a process machine in the desired alignment. Such a web of material commonly cannot be guided by simple mechanical devices such as flanges, crowned pulleys, etc., because the devices may damage and distort the edge t4l. However, alignment can be corrected by shifting and swiveling the guiding roller, which has sufficient frictional contact with the fabric, provided the longitudinal tension is adequate. Therefore, designing a feedback controller to drive the guiding roller is definitely necessary.Correcting lateral deflection always requires a thorough understanding of lateral dynamics. There are only a few published articles on this subject. Shelton and Reid [4] demonstrated a simplified analysis in their study of web systems and derived transfer functions for several kinds of guides. They. also presented a second-order method, which used the results of static mechanics analysis to describe the lateral dynamic behavior of massless, moving webs [5]. From the viewpoint of static and dynamic analysis, Young et al. investigated [6,7] the interaction between adjacent spans. They extended the work by Shelton and Reid to develop a two-span web system, and designed a state feedback control law for deflection correction [8]., For a two-span fabric system, the fabric at the first roller it passes suffers from any lateral deflection, which is regarded as a deflection disturbance to the system. The second roller acts as a guiding roller, which can shift and swivel to correct the lateral deflection, and the third roller is presumably located at the entrance of the process machine. We have adopted a disturbance decoupling problem with stability (DDPS) [1, 2] to eliminate the effect of the deflection disturbance on the fabric at the third roller.. Mathematical ModelAs shown in Figure 1, the fabric moves from roller 0 to roller 2, which is assumed to be located at the entrance of the process machine. Both roller 0 and roller 2 are FIGURE 1. Two-span system.

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Section: Simulation Resultsmentioning

confidence: 98%

Section: Simulation Resultsmentioning

confidence: 99%

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Decoupling Fabrics in Alignment from Deflection Disturbances

Huang

Chen

2000

Textile Research Journal

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“…Some of the preliminary works on the boundary conditions and the governing equations for these two kinds of slippages have been done by Young and Shelton [12][13]. The study is done on a steering guide, for which there are two spans -span A (between upstream roller A and preentering roller B) and span B (between pre-entering roller B and guiding roller C), and one guiding roller with steering angle For a smaller angle of guiding roller C, moment transfer occurs from span B to span A.…”

Section: B Lateral Dynamics Under Slippage For a Steering Guidementioning

confidence: 99%

“…The range of for circumferential slippage is given by and the range for lateral slippage is given by [12], where , , ,…”

Section: B Lateral Dynamics Under Slippage For a Steering Guidementioning

confidence: 99%

Study of web guide slippage phenomena in roll-to-roll embossing syste

Tan

Binglu

et al. 2013

2013 10th IEEE International Conference on Control and Automation (ICCA)

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We report our recent study on web guide slippage phenomena in our roll-to-roll (R2R) prototype system constructed for UV and/or hot embossing intermediate processes. Using the design of experiments (DOE) method, we analyzed the lateral slippage phenomena occurring on flexible plastic at the web guide. Both simulation and experimental work were performed to enhance our understanding of its effect on the web tension and speed under normal operating conditions.

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Ausgewählte Anwendungen

Schröder¹,

Böcker²

2021

Elektrische Antriebe – Regelung Von Antriebssystemen

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Interaction of Web Spans: Part I—Statics

Cited by 14 publications

References 0 publications

Decoupling Fabrics in Alignment from Deflection Disturbances

Decoupling Fabrics in Alignment from Deflection Disturbances

Study of web guide slippage phenomena in roll-to-roll embossing syste

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