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Dynamic torsional buckling: prebuckling waves and delayed instability - MaRDI portal

Dynamic torsional buckling: prebuckling waves and delayed instability (Q2206197)

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Language	Label	Description	Also known as
English	Dynamic torsional buckling: prebuckling waves and delayed instability	scientific article

Statements

scholarly article

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Dynamic torsional buckling: prebuckling waves and delayed instability (English)

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G. H. M. Van Der Heijden

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Communications in Nonlinear Science and Numerical Simulation

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publication date

21 October 2020

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full work available at URL

https://discovery.ucl.ac.uk/id/eprint/10059163/

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zbMATH Keywords

Cosserat rod

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wave equation

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corner singularity

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critical load

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MaRDI profile type

MaRDI publication profile

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Nonlinear problems of elasticity

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Buckling of a twisted and compressed rod.

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Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods

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A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method

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The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems

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The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems

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Stability of a twisted and compressed clamped rod

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Nonlinear dynamics of filaments. I: Dynamical instabilities

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Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables

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Non-linear dynamic intertwining of rods with self-contact

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An Extended Conjugate Point Theory with Application to the Stability of Planar Buckling of an Elastic Rod Subject to a Repulsive Self-Potential

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A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method

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Dynamic bifurcation buckling of an impacted column

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Biological applications of the dynamics of twisted elastic rods

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Buckling of a column under a constant speed compression: a dynamic correction to the Euler formula

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On the dynamics in space of rods undergoing large motions - A geometrically exact approach

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From helix to localized writhing in the torsional post-buckling of elastic rods

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Torsional vibration control and Cosserat dynamics of a drill-rig assembly

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Instability and self-contact phenomena in the writhing of clamped rods.

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Identifiers

zbMATH Open document ID

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10.1016/j.cnsns.2018.09.017

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2206197

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