Motion Control of a Pendulum via Magnetic Interaction

The present study introduces a modified version of PD Control for the<br/>case of a magnetically controlled pendulum. The response was observed in both<br/>experimental and numerical simulations taking into consideration the non-linearity posed by the system. The modified PD controller was compared to the simple counterpart for further concrete...

Experimental and numerical study of a magnetic pendulum

An experiment has been performed on a magnetic pendulum, which interacts with an electromagnet. The free non-linear vibrations of the pendulum-magnet system are studied to identify and analyse the system’s characteristics. Due to the presence of the electromagnet, a modulation of the pendulum’s natural frequency is observed. A mathematical model...

Degradation at transition zones in railway tracks: 1-D and 2-D model comparison

Transition zones in railway tracks are areas with considerable variation of track properties (i.e., foundation stiffness) encountered near structures such as bridges. Due to strong amplification of the railway track’s response, transition zones are prone to rapid degradation. To study this degradation, researchers and engineers have developed...

Harmonic Balance Method for the stationary response of continuous systems with nonlinear hysteretic damping under harmonic excitation

Under harmonic excitation, soil exhibits softening behaviour that can be captured through the so-called hyperbolic soil model. The response of systems with such a material model can elegantly be obtained using the classical Harmonic Balance Method (HBM). Soil also exhibits nonlinear hysteretic damping under harmonic excitation, feature which is...

Transition radiation in an infinite beam discretely supported by nonlinear springs and dashpots

Transition radiation is emitted when a source moves along a straight line with constant velocity and acts on or near an inhomogeneous medium [1]. It occurs, for example, when trains cross areas with substantial variation of track properties (e.g., foundation stiffness) encountered near rigid structures such as bridges; these areas are called...

Dynamics of rotating rings using a higher order theory