Free flexural vibrations of homogeneous beams with symmetrically variable depths

DOI10.1007/s00707-021-03053-xzbMath1486.74064OpenAlexW3201279236MaRDI QIDQ823908

Ewa Magnucka-Blandzi, Leszek Wittenbeck, Szymon Milecki, Damian Goliwąs, Krzysztof Magnucki

Publication date: 16 December 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-021-03053-x

zbMATH Keywords

analytic solutionnatural frequencyHamilton principlebi-symmetric cross-section

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

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Cites Work

• Exact solutions for free vibrations of axially inhomogeneous Timoshenko beams with variable cross section
• The non-linear vibrations of simply supported column loaded by the mass element
• The free vibration of a type of tapered beams
• Vibration analysis of functionally graded sandwich beam with variable cross-section
• Flexural free vibrations of multistep nonuniform beams
• A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates
• The spreading residue harmonic balance study on the vibration frequencies of tapered beams
• Application of variational iteration method to free vibration analysis of a tapered beam mounted on two-degree of freedom subsystems
• Simplified modeling of beam vibrations induced by a moving mass by regression analysis
• Beam Structures

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