A demonstration of dry and viscous damping of an oscillating pendulum

Zonetti, L. F. C.; Camargo, Alexandra; Sartori, Juliana; Sousa, D. F. de; Nunes, L.A.O.

doi:10.1088/0143-0807/20/2/004

Cited by 45 publications

(38 citation statements)

References 3 publications

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“…During this period, many thermal cyclings occurred, most of them between 4.2 K and temperatures of the order of 50−70 K, and a few up to 300 K. The absolute position of the resonance (in the linear regime) shifted by less than ±25 mHz from one set to the other. The figure is remarkable (20) , since it corresponds to a stability of the order of ±6 ppm. After the 70 th file, we started to use high drives (typically displacements from 100 µm rms to 0.3 mm rms ).…”

Section: Extreme Drive Effectsmentioning

confidence: 94%

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Silicon Vibrating Wires at Low Temperatures

et al. 2008

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Nowadays microfabrication techniques originating from micro-electronics enable to create mechanical objects of micron-size. The field of Micro-Electro-Mechanical devices (MEMs) is continuously expanding, with an amazingly broad range of applications at room temperature. Vibrating objects (torsional oscillators, vibrating wires) widely used at low temperatures to study quantum fluids, can be replaced advantageously by Silicon MEMs. In this letter we report on the study of Silicon vibrating wire devices. A goal-post structure covered with a metal layer is driven at resonance by the Laplace force acting on a current in a magnetic field, while the induced voltage arising from the cut magnetic flux allows to detect the motion. The characteristics of the resonance have been studied from 10 mK to 30 K, in vacuum and in 4 He gas. In this article, we focus on the results obtained above 1.5 K, in vacuum and gas, and introduce some features observed at lower temperatures. The resonant properties can be quantitatively understood by means of simple models, from the linear regime to a highly non-linear response at strong drives. We demonstrate that the non-linearity is mostly due to the geometry of the vibrators. We also show that in our device the friction mechanisms originate in the metallic layers, and can be fully characterized. The interaction with 4 He gas is fit to theory without adjustable parameters.

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Section: Extreme Drive Effectsmentioning

confidence: 94%

“…This is typically the force experienced by two solids in contact which have overrun the static friction limit. This type of forces shall not be discussed in this article 20 . -Dynamic friction, or viscous friction, is encountered when a solid is moving in a fluid.…”

Section: Friction: Dissipative and Reactive Termsmentioning

confidence: 99%

Silicon Vibrating Wires at Low Temperatures

et al. 2008

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“…which indicates a parabolic decay trend. Figure 5 depicts the energy step-like decay according to the exact solution, the best-fit approximate solution (5), as well as the parabolic trend line (6). Again note the excellent agreement between the exact and approximate decay curves, particularly at the turning points where the two flatten out.…”

Section: Energy Decaymentioning

confidence: 85%

Revisiting the Coulomb-damped harmonic oscillator

Rizcallah¹

2019

Eur. J. Phys.

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The force of dry friction is studied extensively in introductory physics but its effect on oscillations is hardly ever mentioned. Instead, to provide a mathematically tractable introduction to damping, virtually all authors adopt a viscous resistive force. While exposure to linear damping is of paramount importance to the student of physics, the omission of Coulomb damping might have a negative impact on the way the students conceive of the subject. In the paper, we propose to approximate the action of Coulomb friction on a harmonic oscillator by a sinusoidal resistive force whose amplitude is the model's only free parameter. We seek the value of this parameter that yields the best fit and obtain a closed-form analytic solution, which is shown to nicely fit the numerical one.

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“…The dry and viscous damped pendulum was studied by L.F.C. Zonetti et al [14]. They have demonstrated these type of oscillations and have compared the same one.…”

Section: Time Period and Viscocitymentioning

confidence: 99%