This paper deals with the investigation of the vibrational behavior of aluminum cantilever beams for various slenderness ratios. Analytical solutions based on the Bernoulli-Euler beam theory are compared with the results from SOLIDWORKS. The first three natural frequencies are analyzed, highlighting the influence of beam length and mode number. The results demonstrate that the Bernoulli-Euler beam theory provides accurate results for high slenderness ratios and lower modes, while SOLIDWORKS offers reliable results for practical applications. The findings contribute valuable insights into the design and analysis of structural elements, particularly for nanomechanics studies. This study presents a rare and comprehensive dataset, systematically comparing analytical theory with finite element method simulations performed on beams with varying slenderness ratios.
No takes yet. Share an insight, caveat, or question.
Söylemez et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: