Approximate fundamental frequency formula for cantilevers with weakly non-uniform sections and verification with experiments and other studies in the literature

KC Erbaş - Journal of Sound and Vibration, 2025 - Elsevier
The vibrational frequencies of beams with uniform cross-sections are easily derived from the
analytical solutions of the Euler-Bernoulli equation (EBE). However, for beams with non …

[PDF][PDF] Elzaki Transform Method for Natural Frequency Analysis of Euler-Bernoulli Beams

CC Ikea, TM Elzakib - Engineering and Technology Journal, 2023 - iasj.net
Several theories have been developed to describe the behaviors of beams under flexural,
vibrational and stability conditions. Some of the theories are Euler-Bernoulli beam theory …

Application of Quantum Perturbation Method to Euler-Bernoulli Equation for Frequency Shift in Non-Uniform Cantilever Oscillations

KC Erbaş - papers.ssrn.com
The solution to the Euler-Bernoulli Equation, commonly employed for determining the
oscillation frequency of beams, is straightforward for homogeneous beams with constant …