An explicit time integration technique for dynamic analyses

DOI10.1002/nme.1620381308zbMath0858.73079OpenAlexW2122977915MaRDI QIDQ4859286

S. Pezeshk, C. V. Camp

Publication date: 23 March 1997

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620381308

zbMATH Keywords

dynamic loadsmulti-degree-of-freedom systemsmodified Euler methoderror analysesNewmark beta methodconditionally stable explicit methodfree undamped simple mass-spring systemmodified trapezoidal methodsecond order Taylor series approximation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Finite difference methods applied to problems in solid mechanics (74S20) Linear vibration theory (70J99)

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Application of Weight Functions in Nonlinear Analysis of Structural Dynamics Problems ⋮ A weighted residual development of a time-stepping algorithm for structural dynamics using two general weight functions ⋮ The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications ⋮ Structure-dependent improved Wilson-\(\theta\) method with higher order of accuracy and controllable amplitude decay ⋮ Efficient parallel algorithms for elastic-plastic finite element analysis ⋮ A multi-time step integration algorithm for structural dynamics based on the modified trapezoidal rule

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