Coiling of flexible ropes

DOI10.1098/rspa.1996.0089zbMath0869.73033OpenAlexW2037177064MaRDI QIDQ3128382

L. Mahadevan, Joseph B. Keller

Publication date: 4 September 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1996.0089

zbMATH Keywords

asymptotic solutioncoil radiusdynamic Kirchhoff-Love equationsgeometrically nonlinear free-boundary problemslarge bending and twisting deformationslinearly elastic ropenumerical continuation scheme

Mathematics Subject Classification ID

Strings (74K05)

Related Items (8)

ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS ⋮ A continuous 1-D model for the coiling of a weakly viscoelastic jet ⋮ Fluid-fiber-interactions in rotational spinning process of glass wool production ⋮ Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets ⋮ Regularized string model for nanofibre formation in centrifugal spinning methods ⋮ An energy conserving numerical scheme for the dynamics of hyperelastic rods ⋮ Boundary layer analysis for the eigenvalues of hanging rod ⋮ Centrifugal spinning of viscoelastic nanofibres

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