Contribution to the free vibration problem of a free‐free beam with large end masses

DOI10.1002/ZAMM.201600300OpenAlexW2783717004MaRDI QIDQ6064423

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Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201600300

zbMATH Keywords

Euler-Bernoulli beamfree vibrationfree-free beammode orthogonality conditionend rigid bodies

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Dynamical problems in solid mechanics (74Hxx) Linear vibration theory (70Jxx)

Related Items (1)

Coupled axial-bending vibration of axially functionally graded Timoshenko cantilever beams of non-uniform cross-section with an attached rigid body

Cites Work

• Solution of free vibration equations of semi-rigid connected Reddy-Bickford beams resting on elastic soil using the differential transform method
• Solution of free vibration equation of elastically supported Timoshenko columns with a tip mass by differential transform method
• Free vibration of semi-rigid connected Reddy-Bickford piles embedded in elastic soil
• Natural frequencies and mode shapes of arbitrary beam structures with arbitrary boundary conditions
• Natural frequencies of two cantilevers joined by a rigid connector at their free ends

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