Topic
Wilberforce pendulum
About: Wilberforce pendulum is a research topic. Over the lifetime, 20 publications have been published within this topic receiving 120 citations.
Papers
Patent•
22 May 2014
TL;DR: In this article, a rotatable pendulum mass support is used to support the pendulum rotation and the spring elements are closed to form a pendant ring to support pendulum motion.
Abstract: The device (100) has a rotatable pendulum mass support (102) that is rotated around axis of rotation (120) and is displaced under centrifugal force along aerial tramway between an end position , a central position and another end position and a spring for applying a pendulum mass (104 ,106,108,110). The spring performs shift of the pendulum mass. The spring is provided with spring elements (112 ,114,116,118 ) that are associated with pendulum mass. The spring elements are circumferentially closed to form a pendant ring (130).
16 citations
TL;DR: In this article, the vertical displacement of the Wilberforce pendulum has been watched by computer in real time and Fourier analysis of the experimental results revealed the existence of two frequencies corresponding to two normal modes.
Abstract: In this paper experimental verification of the important features of the motion of the Wilberforce pendulum is shown. The vertical displacement of the pendulum has been `watched' by computer in real time. The experiments were carried out with different combinations of initial conditions. Fourier analysis of the experimental results revealed the existence of two frequencies corresponding to two normal modes. When their amplitudes are equal the modes combine to produce `beats'. In this case the frequencies of longitudinal and torsional vibrations of the pendulum are equal. This is called the resonance case. Our experiment allows one to observe not only the beats of the two normal modes but also each of the modes separately.
14 citations
1 Jan 2019
TL;DR: A Wilberforce pendulum is a mechanical oscillator often used as an example for the effect of coupling and a theoretical model of this oscillator is established and a comparison leads to possible improvements of the model and of the measurements.
Abstract: A Wilberforce pendulum is a mechanical oscillator often used as an example for the effect of coupling. After establishing a theoretical model of this oscillator and building a prototype, tracking algorithms have been developed to get the position of the oscillator. These tools enable us to highlight the existence of normal modes and determine the constants of the system. We also test different initial conditions to project the state of the pendulum on the normal modes. At the end, we discuss the match between our model and the experimental results. This comparison leads to possible improvements of the model and of the measurements.
6 citations
Journal Article•
TL;DR: The resonance of the Wilberforce pendulum is defined as the state of the maximum period of beats as mentioned in this paper, and the plausible assertion that resonance is characterized by the equal values of both the frequencies of longitudinal and torsion vibrations is proven.
Abstract: The resonance of the Wilberforce pendulum is defined as the state of the maximum period of beats. The plausible
assertion that resonance is characterized by the equal values of both the frequencies of longitudinal and torsion
vibrations is proven. Although a coupling constant between longitudinal and torsion vibrations determines the
frequencies of normal modes it plays no role in the definition of the resonance state.
6 citations
TL;DR: In this paper, the periodic structure of the Wilberforce pendulum under the effects of certain dependent perturbations was studied using the averaging theory of the averaging process. But the results were limited to a single pendulum.
Abstract: The aim of the present work is to study the periodic structure of the Wilberforce pendulum under the effects of certain dependent perturbations. We use as a mathematical tool the averaging theory o...
5 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 3 |
| 2020 | 1 |
| 2019 | 1 |
| 2018 | 2 |
| 2016 | 1 |
| 2015 | 2 |