On the transversal vibrations of a conveyor belt with a low and time-varying velocity. Part I: the string-like case

Suweken, G.; Horssen, Wim T. van

doi:10.1016/s0022-460x(02)01168-9

Cited by 97 publications

(49 citation statements)

References 22 publications

(61 reference statements)

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“…So, truncating the approximation to a single mode of vibration (as has been done in [4]) will in general not give accurate approximations on long time-scales. A similar conclusion on the applicability of the truncation method to problems for axially moving strings or beams with a time-varying velocity has been drawn in [9] and [10].…”

Section: Conclusion and Remarkssupporting

confidence: 62%

On the influence of lateral vibrations of supports for an axially moving string

Horssen

2003

Journal of Sound and Vibration

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Section: Conclusion and Remarkssupporting

confidence: 62%

On the influence of lateral vibrations of supports for an axially moving string

Horssen

2003

Journal of Sound and Vibration

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“…The transverse displacement of the beam centre for equations (1) and (2) will be numerically solved via the differential quadrature schemes under the boundary conditions (4) and the initial conditions (13). The Fourier transform has been widely used in circuit analysis and synthesis, from filter design to signal processing and image reconstruction.…”

Section: The Oscillation Frequencies Of Nonlinear Modelsmentioning

confidence: 99%

“…The nonlinear integropartial-differential equation has been used by Wickert [10], Pellicano and Vestroni [11], Parker and Lin [12], Suweken and van Horssen [13]. The nonlinear partial-differential equation has used by Öz et al [14], Marynowski [15], Ghayesh and Khadem [7].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Frequencies for Transverse Free Oscillations of a Transporting Tensioned Beam

Ding

Jiang

2011

AEF

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Abstract. This study focuses on the natural frequencies of nonlinear free transverse oscillations of transporting tensioned beams via the standard fast Fourier transform (FFT). The transverse oscillations of transporting tensioned beams can be governed by a nonlinear partial-differential equation or a nonlinear integro-partial-differential equation. Numerical schemes are respectively presented for the two governing equations via the differential quadrature method. For each nonlinear equation, the nonlinear oscillations frequencies are investigated via FFT with the time responses histories. The numerical results depict the tendencies of the frequencies of nonlinear free transverse oscillations of transporting tensioned beams with the changing oscillations amplitude, transporting speed, the nonlinear coefficient and the flexural stiffness.

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“…However, the tension and the speed measurement of the tether by the machine in contact type raise concerns about influence of direct contact on the complication of the running route and the possibility of damage to the tether or the measurement devices. A distortion gauge and torque motor have been commonly used to measure the tether tension [2][3][4][5][6] . Methods that measure the rotational speed of the motor are employed to measure the speed of the running tether, but because these methods have a contact with tether, damage to the device might be induced by an unanticipated large tension.…”

Section: New Sensor and New Actuatormentioning

confidence: 99%

New Sensor and Actuator for Space Tether Control Technology

Kusagaya

Fujii

Kojima³

et al. 2010

AEROSPACE TECHNOLOGY JAPAN

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Tether technology is highly significant for the realization of large space flexible structures. It is possible to decrease the weight of a structure by employing tether on the system. In addition, a tether system can be employed to increase the stiffness of space structure systems and also to suppress the vibration of flexible space structures. When tether is used in a mission, the measurement of the tether's dynamic behavior, as both tension and speed, is necessary, in order to control the vibration of flexible space structures. The range of tension should approach micro level at 10 -2 N in micro power, to control the structure in space. In this paper, the effectiveness of vibration control is examined by employing a tether on a flexible space structures such as a SSPS. The vibration control is analyzed numerically to simulate the behavior of a flexible space structure in a flexible panel-tether system and the effectiveness is shown for the tether tension control. A contactless measurement method is also studied by measuring the tether tension and the speed without contacting tether. This method allows the tether tension to be measured without any disturbance.

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On the transversal vibrations of a conveyor belt with a low and time-varying velocity. Part I: the string-like case

Cited by 97 publications

References 22 publications

On the influence of lateral vibrations of supports for an axially moving string

On the influence of lateral vibrations of supports for an axially moving string

Nonlinear Frequencies for Transverse Free Oscillations of a Transporting Tensioned Beam

New Sensor and Actuator for Space Tether Control Technology

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