Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking

Nguyen, Quoc Chi; Hong, Keum–Shik

doi:10.1016/j.jsv.2012.02.020

Cited by 144 publications

(52 citation statements)

References 32 publications

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“…Chen et al [2008] modeled accelerating viscoelastic strings with asymptotic approach and analyzed the steady-state response with the method. Nguyen and Hong [2012] studied the influence of acceleration on the axially moving materials and its control. Alibeigloo and Liew [2015] modeled the composite beam with differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

A Study on the Symmetry-Breaking Bifurcation Phenomenon in Transportation of Low-Strength Composites Sheets by Rolls

Chang

Wang

et al. 2018

Int. J. Appl. Mechanics

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In the manufacturing of low-strength composites sheets, the symmetry-breaking bifurcation phenomenon may happen when the sheets are transported by rolls, which can lead to vibration and crack in the sheets. However, the mechanism and the conditions for this phenomenon has not been studied so far. In this paper, we propose a theoretical model to study the formation mechanism of the bifurcation phenomenon in a driven-idle-driven rolls system, and the critical length of the thin-sheets between rolls is obtained, above which the bifurcation will happen. Results show that the bifurcation occurs because the relationship between the lengths of the sheet between rolls and the tension caused by gravity in sheets is not monotonic, and the critical length is about 2.5 times the distance between the rolls. We also carry out experiments to verify the validity of the proposed model. This study is of great importance for the design of the multi-roll system to transport the low strength sheet materials, such as paper and composite sheets.

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Section: Introductionmentioning

confidence: 99%

A Study on the Symmetry-Breaking Bifurcation Phenomenon in Transportation of Low-Strength Composites Sheets by Rolls

Chang

Wang

et al. 2018

Int. J. Appl. Mechanics

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“…Those approximations lead to the consequence that the track of the traveling materials is an approximately straight line. For example, the studies on the transverse vibrations of axially moving materials [2][3][4][5][6][7][8][9][10][11][12][13][14] and studies on the transverse vibration control technique of axially moving materials [15][16][17][18][19][20] all neglected the effect of gravity on the sheet and treated the traveling materials as tensioned. This means that the sag of the moving sheet is small compared to the distance between two rolls.…”

Section: Introductionmentioning

confidence: 99%

Research on the Transportation of Low-Strength Composites Sheets

Chang

Wang

et al. 2017

Applied Sciences

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Abstract:The novel non-combustible sandwich panel is extremely fragile in manufacturing and cannot be tensioned between rolls. Previous studies on the roll-to-roll system, which mainly focused on the high-tension situations and little described the low-strength materials, are insufficient. To explore the transportation of low-strength materials, we study the tension distribution of continuous moving flexible one-dimensional materials on a steady-state track. First, we propose a numerical method to calculate the steady-state track of low-strength sheet between rolls considering the gravity, as well as size and position of rolls. Then we obtain the optimum sag at different size and position of rolls. We find out that there is a lower limit of the sheet's strength-density ratio (the Minimum Specific Strength) for a specific set of size and position of rolls. Finally, we establish a method to calculate the lower limit approximately for engineering use. Our method can be generalized in manufacturing other low-strength flexible thin-sheet materials as well.

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“…The control problem of axially moving continuous materials is an interesting research topic as they can be used to model a large number of axially moving systems in mechanical engineering such as high-speed magnetic tapes, band saws, power transmission chains and belts, steel strips, and others [1][2][3][4][5][6][7][8]. With the increasing demands for performance improvement and high precision, great importance has been attached to control design for vibration suppression of axially moving systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration control of an axially moving belt system by disturbance adaption

Zhao

Han

Liu

et al. 2016

2016 35th Chinese Control Conference (CCC)

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In this paper, the modeling and vibration control problem of an axially moving belt with high acceleration/deceleration under unknown disturbances are addressed. The dynamic model of the belt system is represented by a nonhomogeneous hyperbolic partial differential equation and two ordinary differential equations. Boundary control with disturbance adaption is developed to stabilize the transverse vibration of an axially moving belt system. The S-curve acceleration/deceleration method is introduced to plan the axially moving speed of the belt. The stability and uniform boundedness of the system are proved via Lyapunov's direct method. Numerical simulations are given to validate the effectiveness of the control law.

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Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking

Cited by 144 publications

References 32 publications

A Study on the Symmetry-Breaking Bifurcation Phenomenon in Transportation of Low-Strength Composites Sheets by Rolls

A Study on the Symmetry-Breaking Bifurcation Phenomenon in Transportation of Low-Strength Composites Sheets by Rolls

Research on the Transportation of Low-Strength Composites Sheets

Nonlinear vibration control of an axially moving belt system by disturbance adaption

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