Application of the generalized-\(\alpha\) method to the time integration of the cable dynamics equations

DOI10.1016/S0045-7825(00)00349-2zbMath1020.74047MaRDI QIDQ5944622

J. I. Gobat, Mark A. Grosenbaugh

Publication date: 9 October 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

stabilityfinite difference schemebox methodamplification matrixcable dynamicsgeneralized alpha methodtemporal integration

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite difference methods applied to problems in solid mechanics (74S20) Strings (74K05)

Related Items (4)

Nonlinear dynamics of statically displaced tendons with non-conventional end conditions ⋮ Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables ⋮ Dynamic response of intrinsic continua for use in biological and molecular modeling: Explicit finite element formulation ⋮ A study on dynamic response of cable-seabed interaction

Cites Work

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• Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• A unified set of single step algorithms. Part 1: General formulation and applications
• An alpha modification of Newmark's method
• Non-linear Unstable Response Of Hanging Chains
• Dynamic behaviour of deep water mooring lines with submerged buoys
• A₀ – Stable family of single step methods for semidiscretized parabolic problems

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