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Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
(Sociedade Brasileira de Física, 2021-02-03)
A review on the Foucault pendulum motion is presented using Cartesian coordinates for the ideal case and for small amplitude of oscillations. The choice of referential frames, the formulation and solution of Newton’s ...
The motion of a conical pendulum in a rotating frame: The study of the paths, determination of oscillation periods, and the Bravais pendulum
(Amer Inst Physics, 2020-04-01)
In this paper, Newton's equations are solved to describe the motion of a conical pendulum in a rotating frame for the right- and left-hand conical oscillations. If the pendulum is started with the initial angular velocity ...
Attitude control of inverted pendulums using reaction wheels: Comparison between using one and two actuators
(2019-01-01)
The attitude control using reaction wheels as actuators has been one of the most popular ways to stabilize and repel external disturbances in aerospace devices. From the controlled change of the angular momentum rate of ...
Variable Speed Control Moment Gyroscope in an Inverted Pendulum
(Asme, 2019-11-01)
The use of variable speed control moment gyroscope (VSCMG) is an effective way for attitude stabilization of aerospace devices. It is possible to control the oscillation and direction rate of change in rigid bodies in space ...
Short comments on chaotic behavior of a double pendulum with two subharmonic frequencies and in the main resonance zone
(2021-01-01)
The parametric pendulum and others different pendular mechanisms were extensively analyzed in current literature because of the chaotic motions. Recently, practical reasons, like energy harvesting, motivated the study of ...
Rotation control of a parametrically excited pendulum by adjusting its length
(Pergamon-Elsevier Science Ltd, 2016-03)
We present a new control strategy for the vertically excited parametric pendulum, with a view on energy harvesting from rotating motion. Two possible energy sources are considered: a vibrating machine, represented by a ...
An experimental study to swing up and control a pendulum with two reaction wheels
(2021-04-01)
An experimental study is discussed on a strategy that combines on-off and sliding mode control to swing up and control a pendulum with two reaction wheels in the upright position. The control scheme uses only one reaction ...
Escape in a nonideal electro-mechanical system
(2002-11-01)
In this work a particular system is investigated consisting of a pendalum whose point of support is vibrated along a horizontal guide by a two bar linkage driven from a DC motor, considered as a limited power source. This ...
Multi-clustered solutions for a singularly perturbed forced pendulum equation
(Cambridge University Press, 2019)
In this paper, we are concerned with unbounded solutions of the singularly perturbed forced pendulum equation in the presence of friction, namely Using a limiting energy function, we describe the behaviour of the solutions ...
Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism
(2016-06-01)
The nonlinear dynamics behavior analyzed, in this paper, consists in a pendulum vertically excited on the support by a crank-shaft-slider mechanism. The novelty is the obtainment and analysis of a mathematical model for ...