Exact solution of the multi-cracked Euler-Bernoulli column
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Publication:837210
DOI10.1016/j.ijsolstr.2007.09.022zbMath1169.74457OpenAlexW2051369397MaRDI QIDQ837210
Publication date: 10 September 2009
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.09.022
stabilitysingularitiesdistribution theoryclosed form solutionconcentrated cracksEuler-Bernoulli column
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Explicit solutions of equilibrium problems in solid mechanics (74G05)
Related Items (21)
Response probability density function for multi-cracked beams with uncertain amplitude and position of cracks ⋮ Ordinary differential equations with point interactions: an inverse problem ⋮ Bending of Timoshenko beam with effect of crack gap based on equivalent spring model ⋮ First order solutions for the buckling loads of weakened Timoshenko columns ⋮ Closed-form solutions for Euler-Bernoulli arbitrary discontinuous beams ⋮ The influence of the axial force on the vibration of the Euler-Bernoulli beam with an arbitrary number of 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 ⋮ Nonlinear analysis of frame structural systems based on closed form solutions of thin beam-columns with multiple strong axial and rotation embedded discontinuities ⋮ Buckling of Beams and Columns with Defects ⋮ Generalised Functions for Modelling Singularities: Direct and Inverse Problems ⋮ Ordinary differential equations with singular coefficients: an intrinsic formulation with applications to the Euler-Bernoulli beam equation ⋮ A transfer matrix method capable of determining the exact solutions of a twisted Bernoulli-Euler beam with multiple edge cracks ⋮ Dynamic behavior of a prestressed concrete bridge with a switching crack subjected to moving trains ⋮ Comparison of machine learning methods for crack localization ⋮ Natural vibrations of stepped nanobeams with defects ⋮ Tensile and compressive buckling of columns with shear deformation singularities ⋮ The Hu–Washizu variational principle for the identification of imperfections in beams ⋮ A novel stiffness/flexibility-based method for Euler-Bernoulli/Timoshenko beams with multiple discontinuities and singularities ⋮ A new finite element analysis of free axial vibration of cracked bars
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