A 3D cracked beam model with unilateral contact. Application to rotors.

DOI10.1016/S0997-7538(02)01225-1zbMath1115.74340MaRDI QIDQ1867087

Christophe Varé, Stéphane Andrieux

Publication date: 2 April 2003

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

Convex analysisUnilateral contactRotorsCracked beam model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Brittle fracture (74R10)

Related Items (4)

Three-dimensional finite element modeling of a vibrating beam with a breathing crack ⋮ On the mechanics of beams and shafts with cracks: a standard and generic approach ⋮ Shearing effects on the breathing mechanism of a cracked beam section in bi-axial flexure ⋮ Nonlinear analysis, instability and routes to chaos of a cracked rotating shaft

Cites Work

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• Modelling and formulation of equations of motion for cracked rotating shafts
• Griffith formulae for elasticity systems with unilateral conditions in domains with cracks
• Basic results for elastic fracture mechanics with frictionless contact between the crack lips
• A numerical analysis of a class of contact problems with friction in elastostatics
• Vibration of cracked shafts in bending
• Vibration of large turbo-rotors in fluid-film bearings on an elastic foundation
• A Survey Of The Dynamic Behaviour Of A Simple Rotating Shaft With A Transverse Crack
• Counter-intuitive quasi-periodic motion in the autonomous vibration of cracked Timoshenko beams

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