Experimental and numerical investigations are carried out on an autoparametric system consisting of a composite pendulum attached to a harmonically base excited mass-spring subsystem. The dynamic behavior of such a mechanical system is governedby a set of coupled nonlinear equations with periodic parameters. Particular attention is paid to the dynamic behavior of the pendulum. The periodic doub...

We investigate experimentally liquid (oil) droplets vibrating over a bath of the same liquid and relate the phenomenon to the well-known effect of the stabilization of an inverted pendulum on a vibrating foundation (a “Kapitza pendulum”). Small fast vibrations can be substituted by an effective “levitation” force. We further discuss this effective stabilizing “spring force”. Besides the inverte...

The balancing of an inverted pendulum by moving a cart along a horizontal track is a classic problem in the area of control. This paper describes two Neural Network controllers to swing a pendulum attached to a cart from an initial downwards position to an upright position and maintain that state. Both controllers are able to learn the demonstrated behavior which was swinging up and balancing t...

This paper proposes an intelligent control approach towards Inverted Pendulum in mechanical engineering. Inverted Pendulum is a well known topic in process control and offering a diverse range of research in the area of the mechanical and control engineering. Fuzzy controller is an intelligent controller based on the model of fuzzy logic i.e. it does not require accurate mathematical modelling ...

Pendulums are the defining feature of pendulum clocks, of course, but today they don’t elicit much thought. Most modern “pendulum” clocks simply drive the pendulum to provide a historical look, but a great deal of ingenuity originally went into their design in order to produce highly accurate clocks. This essay explores horologic design efforts that were so important at one time—not gearwork, w...

This paper describes a new inverted pendulum system that is useful to illustrate important aspects of nonlinear control systems theory. The stabilization of the pendulum is to be achieved by the on–off action of two electromagnets; therefore, an adequate switching policy has to be applied. The pendulum can be controlled by a computer, using simple electronic interface circuits. This paper consi...

A Foucault pendulum is supposed to precess in a direction opposite to the earth’s rotation, but nonlinear terms in the equations of motion can also produce precession. The goal of this paper is to study the motion of a nonlinear, spherical pendulum on a rotating planet. It turns out that the problem on a fixed energy level reduces to the study of a monotone twist map of an annulus. For certain ...

Participants watched a recording of the motions produced when another person wielded a pendulum. The participants’ task was to judge the heaviness of the pendulum. We found that participants were similarly adept at judging the pendulum’s heaviness as when participants wield the pendulum themselves and perceive heaviness haptically. It is hypothesized that people are able to make these visual he...

We present a switching approach for the stabilization of the strongly damped inverted pendulum cart system, provided that the pendulum is initialized inside of the upper-half plane, and the linear viscous force is known. The control strategy uses two stabilizing controllers. The first is a nonlinear controller, devoted to bringing the pendulum very close to its unstable equilibrium point. Then,...

In the present study the impulse Ib transmitted by a hemispherical contact charge is calculated analytically and compared with experimental measurements. The impulse is measured experimentally with the use of a ballistic pendulum. The explosive charge is placed on a disk shaped striking mass. The mass is in contact with a nondeformable tubular structure placed on an instrumented base on a balli...