Dynamics of a rope modeled as a discrete system with extensible members

DOI10.1007/S00466-009-0387-2zbMath1398.74182OpenAlexW2061123070MaRDI QIDQ835511

Henryk Kamiński, Paweł Fritzkowski

Publication date: 28 August 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-009-0387-2

zbMATH Keywords

numerical methodsmechanicsropes

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Strings (74K05)

Related Items (3)

Estimation of parameters of various damping models in planar motion of a pendulum ⋮ A discrete model of a rope with bending stiffness or viscous damping ⋮ Dynamics of a rope modeled as a multi-body system with elastic joints

Uses Software

• veDYNA
• Unnamed Item

Cites Work

• Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs
• Computing smooth solutions of DAEs for elastic multibody systems
• Towards explicit methods for differential algebraic equations
• DAE time integration for real-time applications in multi-body dynamics
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
• An MEBDF code for stiff initial value problems
• Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations
• Improved outer inverses for the numerical solution of Euler–Lagrange equations
• An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems

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