Transverse Vibration Control of Axially Moving Membranes by Regulation of Axial Velocity

Nguyen, Quoc Chi; Hong, Keum–Shik

doi:10.1109/tcst.2011.2159384

Cited by 87 publications

(30 citation statements)

References 31 publications

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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%

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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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Section: Introductionmentioning

confidence: 99%

“…This model is developed from the previous studies on hanging materials [32][33][34][35][36][37] and axially moving materials [19,27]. We introduce a numerical method to calculate the shape of moving thin-sheet materials between rolls, taking into account the position and size of 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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“…So far, boundary control has been widely used among the mechanical systems, including the string and beam systems (Guo & Guo, 2009Nguyen & Hong, 2012). In He and Ge (2012), the string system under the unknown time-varying disturbance is presented by a distributed parameter system, where the boundary observers and actuators are used to reduce the system vibration to zero.…”

Section: Introductionmentioning

confidence: 99%

Boundary control of a Timoshenko beam system with input dead-zone

Meng

Liu

et al. 2015

International Journal of Control

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In this paper, boundary control is designed for a Timoshenko beam system with the input dead-zone. By the Hamilton's principle, the dynamics of the Timoshenko beam system is represented by a distributed parameter model with two partial differential equations and four ordinary differential equations. The bounded part is separated from the input dead-zone and then forms the disturbance-like term together with the boundary disturbance, which finally acts on the Timoshenko beam system. Boundary control, based on the Lyapunov's direct method, is proposed to ensure the Timoshenko beam converge into a small neighbourhood of zero, where stability of the system is also analysed. Besides, the existence and uniqueness of the solution of the Timoshenko beam system are proved. Simulations are provided to reveal the applicability and effectiveness of the proposed control scheme. NomenclatureL length of the Timoshenko beam M mass of the tip payload ρ uniform mass per unit length of the Timohenko beam EI bending stiffness of the Timoshenko beam I ρ uniform mass moment of inertia of the cross section of the Timoshenko beam J inertia of the tip payload K K = kAG k a positive constant depending on the shape of the cross section of the Timoshenko beam A cross-sectional area of the Timoshenko beam G modulus of elasticity in shear w(x, t) transverse displacement of the Timoshenko beam at the position x and time t u(t) and τ (t) two control inputs with dead-zone d(t) unknown time-varying boundary disturbance on the tip payload f(x, t) disturbance of the Timonshenko beam

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“…These two systems are subjected both to the external boundary disturbance and input dead-zone nonlinearity. Mechanical energies of the flexible system provide ways of constructing the Lyapunov functions for the control design and the stability analysis [29,30]. By using a new description of the dead-zone, boundary control schemes [31,32] will be developed to regulate the deformation of both string system and beam system.…”

Section: Introductionmentioning

confidence: 99%

Boundary control for flexible mechanical systems with input dead-zone

Zhang

Nie

et al. 2015

Nonlinear Dyn

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In this paper, the control problem for flexible mechanical systems with input dead-zone nonlinearity is investigated. We employ the boundary control technique aiming at regulating the deformation of flexible mechanical systems (including both the string and the Euler-Bernoulli beam) in the presence of various external disturbances. With the proposed control method, we prove that all the states of the closed-loop flexible mechanical systems are uniformly ultimately bounded, and the input dead-zone nonlinearity and boundary external disturbance are handled. Numerical simulation studies are carried out to verify the effectiveness of the developed boundary control.

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Transverse Vibration Control of Axially Moving Membranes by Regulation of Axial Velocity

Cited by 87 publications

References 31 publications

Research on the Transportation of Low-Strength Composites Sheets

Research on the Transportation of Low-Strength Composites Sheets

Boundary control of a Timoshenko beam system with input dead-zone

Boundary control for flexible mechanical systems with input dead-zone

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