A multi-time step integration algorithm for structural dynamics based on the modified trapezoidal rule

DOI10.1016/S0045-7825(99)00343-6zbMath0964.74080OpenAlexW2100166562MaRDI QIDQ1579779

Patrick Smolinski, Yi-Sheng Wu

Publication date: 14 September 2000

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00343-6

zbMATH Keywords

energy methodnumerical stabilitycritical time stepmaximum frequency of elementsmodified trapezoidal rule methodmulti-time step integration methodnodal partition theorysemi-discretized structural dynamics problems

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Cites Work

• Explicit multi-time step integration for first and second order finite element semidiscretizations
• A study of the stability of subcycling algorithms in structural dynamics
• Explicit-explicit subcycling with non-integer time step ratios for structural dynamic systems
• Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory
• Implicit-Explicit Finite Elements in Transient Analysis: Implementation and Numerical Examples
• Analysis and implementation of a new constant acceleration subcycling algorithm
• An explicit time integration technique for dynamic analyses
• Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations
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