ON THE INVERSE EIGENVALUE PROBLEM OF A EULER BERNOULLI BEAM UNDER DISTRIBUTED LOADS

Abstract

The problem of posing and solving an inverse eigenvalue problem of a Euler Bernoulli steel beam under distributed loads is studied in this paper. The governing equations are tackled using finite Fourier Sine transform for the simple support end condition and finite Fourier Cosine transform for the guided/sliding end condition. Graphs of the solution for the two end conditions considered are plotted with the first frequency (

Keywords

• inverse eigenvalue
• imposed natural frequency
• distributed loads
• euler bernoulli beam