Controlling angular oscillations through mass reconfiguration: a variable length pendulum case

Stilling, D. S. D.; Szyszkowski, W.

doi:10.1016/s0020-7462(00)00099-8

Cited by 50 publications

(46 citation statements)

References 13 publications

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“…if M = 0) the damping rate becomes equal to eqv = 3 4 cos , which is identical to that obtained in [8].…”

Section: Equivalent Damping Ratio For a Cyclesupporting

confidence: 82%

“…2 ). Note that this formula is identical with the one derived in [8] for the mathematical pendulum of variable length.…”

Section: Equivalent Damping Ratio For a Cyclementioning

confidence: 66%

“…A careful examination of the Coriolis forces (or the energy balance) that are generated in the system reveals the following 'attenuation rule' [8]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…Despite an alternating sign of D, the system will be attenuated if the motion of mass m is synchronized with the pendulum oscillations in such a way that the change of the total energy occurring in one complete cycle is negative (see [8]). Clearly, the best attenuation per cycle will be achieved if the positive energy rate D is made as small as possible, and the negative energy rate (i.e.…”

Section: Equivalent Damping Ratio For a Cyclementioning

confidence: 99%

“…An option of generating attenuation in a variable length pendulum was considered in [8], where also general attenuation rules were postulated. The control schemes based on those rules were developed and verified in [9].…”

Section: Introductionmentioning

confidence: 99%

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On damping properties of a frictionless physical pendulum with a moving mass

Szyszkowski

Stilling

2005

International Journal of Non-Linear Mechanics

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“…if M = 0) the damping rate becomes equal to eqv = 3 4 cos , which is identical to that obtained in [8].…”

Section: Equivalent Damping Ratio For a Cyclesupporting

confidence: 82%

“…2 ). Note that this formula is identical with the one derived in [8] for the mathematical pendulum of variable length.…”

Section: Equivalent Damping Ratio For a Cyclementioning

confidence: 66%

“…A careful examination of the Coriolis forces (or the energy balance) that are generated in the system reveals the following 'attenuation rule' [8]:…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Equivalent Damping Ratio For a Cyclementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On damping properties of a frictionless physical pendulum with a moving mass

Szyszkowski

Stilling

2005

International Journal of Non-Linear Mechanics

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An innovative adaptive tuned vibration absorber with variable mass moment of inertia for mitigation of transient response of systems

Shakib

Ghorbani‐Tanha

2020

Struct Control Health Monit

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Summary An innovative semiactive device, named the spindle adaptive tuned vibration absorber (SATVA), is proposed herein, having the potential of attenuating unfavorable vibrations of the host systems. The proposed device includes a preferably spindle‐shaped body of mass, whose mass moment of inertia can be altered simply by moving a pair of rotating supports. Therefore, the natural frequency of the device can be altered with a fairly low power consumption. A comprehensive analytical approach is employed in order to derive the governing equations of motion of the device, considering physical and practical issues. Through a numerical case study, it is demonstrated that the device is capable of reducing unfavorable vibrations of a rotating machinery during start‐up, while requiring considerably less amount of physical mass, compared with conventional absorbers. In addition, the spindle adaptive tuned vibration absorber has a quite rapid adaptation mechanism in comparison with other adaptive‐mass tuned vibration absorbers. Provided that its absolute acceleration during operation can be kept within reasonable limits to prevent slipping, this device is capable of finding different applications in various engineering disciplines.

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