We consider the simple pendulum equation −u′′(t) + f(u′(t)) = λ sinu(t), t ∈ I := (−1, 1), u(t) > 0, t ∈ I, u(±1) = 0, where 0 < ≤ 1, λ > 0, and the friction term is either f(y) = ±|y| or f(y) = −y. Note that when f(y) = −y and = 1, we have well known original damped simple pendulum equation. To understand the dependance of solutions, to the damped simple pendulum equation with λ 1, upon the te...

The paper proposes and investigates nonlinear vibrations mitigation strategies of an externally excited pendulum. This problem is highly relevant to the crane’s payload behavior, which dynamics typically described by a pendulum model. Currently, there are various active control mitigate swinging that require some knowledge on state, but, authors’ best knowledge, no passive measures such vibrati...

This experiment consists of a rigid link (pendulum) rotating in a vertical plane. The rigid link is attached to a pivot arm, which is mounted on the load shaft of a DC-motor. The pivot arm can be rotated in the horizontal plane by the DC-motor. The DC-motor is instrumented with a potentiometer. In addition, a potentiometer is mounted on the pivot arm to measure the pendulum angle. The principal...

A measurement of G which will use a torsion pendulum in the ‘dynamic’ (time-of-swing) mode, measuring the influence of field source masses on the pendulum’s oscillation period, is being prepared at UC Irvine. Features of the design include: (i) operation at cryogenic temperature (2 K) to reduce thermal noise and increase frequency stability and for ease of magnetic shielding, (ii) large pendulu...

Katsuhisa Furuta and Masaki Yamakita Department of Control Engineering Tokyo Institute of Technology 2121 0 h-0 kayama, Meguroku Tokyo 152 Japan Seiichi Kobayashi Nippon Seiko Ltd. 78 Toriba-machi, Maebashi-shi Gunma 371 Japan Inverted pendulums have been used for the verification of designed control systems and control laboratory experiments in control theory education. In particular, the cont...

A thrust stand calibration technique for use in testing repetitively pulsed electric thrusters for in-space propulsion has been developed and tested using a modified hanging pendulum thrust stand. In the implementation of this technique, current pulses are applied to a solenoid to produce a pulsed magnetic field that acts against a permanent magnet mounted to the thrust stand pendulum arm. The ...

Mechtronics is a natural stage in the evolutionary process of modern engineering design. The development of the computer, and then the microcomputer, embedded computers, and associated information technologies and software advances, made mechatronics an imperative in the latter part of the twentieth century. Standing at the threshold of the twenty first century, with expected advances in the in...

This paper examines the development of a genetic adaptive fuzzy control system for the Inverted Pendulum. The inverted pendulum is a classical problem in Control Engineering, used for testing different control algorithms. The goal is to balance the inverted pendulum in the upright position by controlling the horizontal force applied to its cart. Because it is unstable and has a complicated nonl...

This study aims to develop a controller for use in the online simulation of two interacting characters. This controller is capable of generalizing two sets of interaction motions of the two characters based on the relationships between the characters. The controller can exhibit similar motions to a captured human motion while reacting in a natural way to the opponent character in real time. To ...