Transient Vibration Analysis of a Pinned Beam With Transverse Magnetic Fields and Thermal Loads

Abstract

The research investigates the transient vibrations of a pinned beam with transverse magnetic fields and thermal loads. The equation of motion is derived by the Hamilton’s principal, and the damping factor is considered. The property of the material is assumed which has the linear thermal expansion and resistivity. Using the Runge–Kutta method, the amplitude versus time and velocity versus amplitude for the first mode and the first two modes are dertermined. The results show that the transient vibratory behaviors of the beam are influenced by the magnetic fields, thermal loads, and the frequencies of oscillation transverse magnetic field. Also, the period of vibration shifts to higher value with the increase of the magnetic fields and temperatures. In this paper, the effects of using different frequencies of the oscillating transverse magnetic field to display the beat phenomenon and primary resonance are also presented and discussed.