Green’s function technique for stepped beam vibrations

The study investigates stepped heterogeneous beams fixed at two endpoints. The eigenfrequencies for both unloaded and axially loaded problems are derived through the transformation of classical eigenvalue problems into homogeneous Fredholm integral equations. These equations can numerically be solve...

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Bibliographic Details
Published inMultidiszciplinaris Tudomanyok Vol. 15; no. 1; pp. 89 - 100
Main Authors Messaoudi, Abderrazek, Szeidl, György, Kiss, László Péter
Format Journal Article
LanguageEnglish
Published 10.07.2025
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ISSN2062-9737
2786-1465
DOI10.35925/j.multi.2025.1.8

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Summary:The study investigates stepped heterogeneous beams fixed at two endpoints. The eigenfrequencies for both unloaded and axially loaded problems are derived through the transformation of classical eigenvalue problems into homogeneous Fredholm integral equations. These equations can numerically be solved by reducing them to algebraic eigenvalue problems. The study assesses the effects of step location, bending stiffness and, axial force on natural frequencies. Through a comprehensive exploration of these mathematical frameworks, the paper aims to contribute to the structural vibration analysis of stepped beams. The study’s outcomes confirm the suitability of the presented method.
ISSN:2062-9737
2786-1465
DOI:10.35925/j.multi.2025.1.8