Green's function for uniform Euler-Bernoulli beams at resonant condition: introduction of Fredholm alternative theorem

DOI10.1016/j.apm.2014.11.038zbMath1443.74210OpenAlexW2026273492MaRDI QIDQ2009695

Seyed Mojtaba Hozhabrossadati, Bahman Mehri, Ahmad Aftabi Sani, Masood Mofid

Publication date: 29 November 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.11.038

zbMATH Keywords

resonanceEuler-Bernoulli beamFredholm alternative theoremmodified Green's function

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fundamental solutions to PDEs (35A08) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

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• Closed-form solutions for Euler-Bernoulli arbitrary discontinuous beams
• Tables of Green's functions for the theory of beam vibrations with general intermediate appendages
• Forced vibration of Euler–Bernoulli beams by means of dynamic Green functions