Stability analysis of helical rod based on exact Cosserat model

DOI10.1007/S10483-011-1442-8zbMath1237.74006OpenAlexW2079510854MaRDI QIDQ414092

Yan-zhu Liu, Yun Xue

Publication date: 10 May 2012

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1442-8

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Kinematics of deformation (74A05)

Related Items (2)

Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod ⋮ Bifurcation scenarios in helical buckling of slender rods using new FE

Cites Work

• Nonlinear dynamics of elastic rods using the Cosserat theory: modelling and simulation
• Regularity for shearable nonlinearly elastic rods in obstacle problems
• Torsional vibration control and Cosserat dynamics of a drill-rig assembly
• Investigation of bend and shear waves in a geometrically exact elastic rod model.
• Nonlinear problems of elasticity

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