Influence of a center of mass position on beam natural frequencies of vibration

Abstract

The paper discusses the effect of beam center of mass displacements on the values of their first natural vibration frequencies. Three schemes of beam restraint with a displacement of the center of mass along all axes of a coordinate system and around them are considered. It is established that if the center of mass is in the center of the beam, then any of its small linear and angular displacements slightly affect the first natural frequencies of vibration. If the center of mass was near the support, its longitudinal displacements along the beam will significantly affect the first natural frequency of bending vibrations. The transverse displacements of the center of mass will change only the natural frequencies of the torsional vibrations of the beam, which are usually quite small. Small angular displacements of the beam center of mass do not change the first natural frequencies of vibration at any location relative to the beam.