Enhanced studies on the composite sub-step algorithm for structural dynamics: the Bathe-like algorithm

DOI10.1016/j.apm.2019.11.033zbMath1481.65101OpenAlexW2990018143MaRDI QIDQ1988920

Xiang-Yang Li, Kaiping Yu, Jinze Li

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.2019.11.033

zbMATH Keywords

structural dynamicsimplicit time integrationBathe algorithmalgorithmic mode truncation factorsub-step composite algorithm

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Numerical methods for stiff equations (65L04)

Related Items (5)

Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear dynamics ⋮ Improved composite implicit time integration method for dynamic analysis of viscoelastic damping systems ⋮ Development of composite sub-step explicit dissipative algorithms with truly self-starting property ⋮ A Novel Family of Two-Stage Implicit Time Integration Schemes for Structural Dynamics ⋮ A dual-explicit model-based integration algorithm with higher-order accuracy for structural dynamics

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• An alpha modification of Newmark's method
• Higher derivative explicit one step methods for non‐linear dynamic problems. Part II: Practical calculations and comparisons with other higher order methods
• Noniterative Integration Algorithms with Controllable Numerical Dissipations for Structural Dynamics

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