The dynamic behaviour of slender structures with cross-sectional cracks

DOI10.1016/0022-5096(83)90003-0zbMath0515.73093OpenAlexW1980870763MaRDI QIDQ1052155

Peter Gudmundson

Publication date: 1983

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(83)90003-0

zbMATH Keywords

dynamic modeleigenfrequenciesbeams with cross-sectional crackscompared to experimentally obtained eigenfrequenciesconsistent, static flexibility matrixdifferent crack lengths and crack positionsedge-cracked cantilevered beammatrix can be determined from integration of these factorsstatic finite element calculationsstatic stress intensity factors are known

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05)

Related Items

Modeling of a Beam and a Rotor with an Edge Crack Using Dissimilar Elements, Identification of an open crack in a beam with variable profile by two resonant frequencies, Three-dimensional finite element modeling of a vibrating beam with a breathing crack, The exact distributional model for free vibrations of shear-bending multi-cracked Timoshenko beams, Chaos caused by fatigue crack growth., Vibration analysis and crack identification of a rotor with open cracks, Free vibration analysis of uniform and stepped cracked beams with circular cross sections, Parameter identification of a rotor with an open crack, Vibratory Characteristics of Euler-Bernoulli Beams with an Arbitrary Number of Cracks Subjected to Axial Load, Shearing effects on the breathing mechanism of a cracked beam section in bi-axial flexure, Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method

Uses Software

• ADINA

Cites Work

• Construction of a Dynamic Weight Function From a Finite-Element Solution for a Cracked Beam
• Effect of Axial Force on Dynamic Fracture of a Beam or Plate in Pure Bending
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