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Charles Chinwuba Ike

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Open access Sep 2026

Analytical free vibration solutions of Euler-Bernoulli beams resting on Winkler foundation using the Elzaki transform method

The natural frequency analysis of a freely vibrating thin beam on Winkler foundation is a significant part of the analysis for design against resonance failures which occur when the natural frequency coincides with the excitation frequency due to loads. This article explores the natural frequency determinations of an E...

Doğan Kanığ, Charles Chinwuba Ike · 1 citation
Open access Oct 2026

EQUILIBRIUM FORMULATION OF THE TRANSVERSE VIBRATION EQUATIONS OF EULER-BERNOULLI BEAMS ON TWO-PARAMETER FOUNDATIONS: RESONANT FREQUENCY SOLUTIONS BY STODOLA-VIANELLO ITERATION METHOD

In this study, the partial differential equation (PDE) for the transverse vibration analysis of Euler-Bernoulli beam resting on two-parameter elastic foundation (EBBo2PEF) is derived from a rigorous use of equilibrium method. The equation is nonhomogeneous for forced vibrations, and homogeneous for free vibrations. Fre...

Charles Chinwuba Ike · 0 citations

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