Determination of Natural Frequencies of a Cantilevered Discontinous Beam with Aligned Neutral Axes: Receptance-Graphical Approach

Abstract

This work presents a graphical approach to find the natural frequencies of a fixed-free discontinuous Beams with aligned neutral axes based on different boundary condition.  A receptance model is introduced to analyze the problem of discontinuous beams, using the differential equation of motion based on the Euler-Bernoulli beam equation. The natural frequencies equation are obtained from the receptance model. The graphical methods gives the approximate solution, but need a lot of effort on calculation. The solution obtained are compared to the result from experimental model testing.

Keywords: Receptance function, discontinuous Beam, Graphical method, natural frequency.