Estudo sobre a vibração transversal de uma viga de Rayleigh

Abstract

In this work we study the transverse vibration of a Rayleigh beam. To do this, we consi- der basic concepts involving beam vibrations and the beam equations commonly found in the literature. Furthermore, we present a study on the fundamental solution to obtain the characteristic equations and the necessary response assuming classical boundary conditions. To determine the forced response, we obtain a condition of orthogonality between the vibration modes of the Rayleigh beam, a topic that we also address in this work for the classical boundary conditions. Finally, we carried out comparison simulati- ons between natural frequencies and vibration modes using the Euler-Bernoulli theory and Rayleigh theory.