Development a Free-Free Transverse Beam Model using Lateral Vibrations of Beam Conventional Method during Seismic Activity

Abstract

This paper expresses the derivation of Free-Free Transverse Beam Model using lateral vibration of beam conventional method during Seismic Activity. Derivation from three mathematical models gives $cosh\beta L cos\beta L=1.$ Then by numerical software, the graph of those mathematical models is plotted. From the plots, and using equations, the natural frequencies of those three models are identified at values of $389.5$ rad/s, $2440.9$ rad/s, and $6825$
rad/s for $\omega_1,\omega_2$ and $\omega_3$ respectively.