A second-order accurate three sub-step composite algorithm for structural dynamics

DOI10.1016/j.apm.2019.08.022zbMath1481.65107OpenAlexW2969511621WikidataQ127335067 ScholiaQ127335067MaRDI QIDQ1988776

Kaiping Yu, Jinze Li, Haonan He

Publication date: 24 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.08.022

zbMATH Keywords

structural dynamicsimplicit integration algorithmsBathe algorithmthree sub-step algorithm

Mathematics Subject Classification ID

Forced motions in linear vibration theory (70J35) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear dynamics ⋮ Development of composite sub-step explicit dissipative algorithms with truly self-starting property ⋮ Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods ⋮ Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics ⋮ On second-order \(s\)-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems ⋮ A dual-explicit model-based integration algorithm with higher-order accuracy for structural dynamics

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