NUMERICAL ANALYSIS OF FREE OSCILLATIONS OF BEAMS

<p style="text-align: justify;">This paper examines the free oscillations of beams, which are essential  for preventing resonance in constructions such as bridges, buildings, and  other engineering structures. The objective of the study is to evaluate the  accuracy of numerical methods by comparing their results with exact  solutions for three support conditions: a simply supported beam, a <br />cantilever beam, and a beam fixed at both ends. Exact solutions were  presented for all cases. Numerical results for the first three oscillation  modes were obtained using ANSYS software and compared to the exact values.</p>