Vibration Analysis of Axially Loaded Euler-Bernoulli Beams With Guided Mass Available to Purchase

Vibration analysis of an axially loaded beam with an attached mass, as the model of many systems in the macro and micro scales, has been carried out. The axially loaded beam is assumed as an Euler-Bernoulli one with clamped-clamped boundary conditions that carries a lumped mass, which is attached to it at an arbitrary position. The attached lumped mass is guided to only move in the transverse direction. It has been shown that the tensile axial force will increase the natural frequencies of the beam as well as the amplitude of oscillation of the comb-drive at the first mode of vibration. Depending on the position of guided mass, the natural frequencies may either increase or decrease when compared with those found for the same clamped-clamped beam with no attached mass. The natural frequencies and the corresponding natural mode shapes are presented.