The influence of the axial force on the vibration of the Euler-Bernoulli beam with an arbitrary number of cracks

DOI10.1007/s00419-011-0595-zzbMath1293.74165OpenAlexW1973078075MaRDI QIDQ396161

Salvatore Caddemi, I. Caliò'

Publication date: 8 August 2014

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-011-0595-z

zbMATH Keywords

closed-form solutionsmode shapesnatural frequenciesbuckling loadsEuler-Bernoulli beam-columnbuckling modesconcentrated cracksdamaged beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Brittle damage (74R05) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (10)

Bending of Timoshenko beam with effect of crack gap based on equivalent spring model ⋮ Free vibrations of stepped nano-beams with cracks ⋮ Closed-form solutions for stepped Timoshenko beams with internal singularities and along-axis external supports ⋮ A necessary modification for the finite element analysis of cracked members detection, construction, and justification ⋮ A novel beam finite element with singularities for the dynamic analysis of discontinuous frames ⋮ A class of inverse eigenvalue problems for real symmetric banded matrices with odd bandwidth ⋮ Vibration modes of the Euler-Bernoulli beam equation with singularities ⋮ A numerical study of instability transition of a beam-like plate with imperfections loaded by a steady axial airflow ⋮ Tensile and compressive buckling of columns with shear deformation singularities ⋮ Inverse eigenvalue problem for pentadiagonal matrices

Cites Work

• Exact solution of the multi-cracked Euler-Bernoulli column
• A CONTINUOUS CRACKED BEAM VIBRATION THEORY
• Unnamed Item

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