Fast matrix exponent for deterministic or random excitations

DOI<377::AID-NME29>3.0.CO;2-E 10.1002/1097-0207(20010120)50:2<377::AID-NME29>3.0.CO;2-EzbMath1011.74028OpenAlexW2036677440MaRDI QIDQ2709690

Andrew Y. T. Leung

Publication date: 2 June 2003

Full work available at URL: https://doi.org/10.1002/1097-0207(20010120)50:2<377::aid-nme29>3.0.co;2-e

zbMATH Keywords

finite element methodcoloured noisealgebraic Lyapunov equationsimply supported beamrandom responsegun barrelfast matrix exponent methodmean-square response matrixtransient stress intensity factorwhite noise random force

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Random vibrations in dynamical problems in solid mechanics (74H50)

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An efficient hybrid time-Laplace domain method for elastodynamic analysis based on the explicit Green's approach

Cites Work

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• Transient Response of a Dynamic System Under Random Excitation
• Time-dependent variance and covariance of responses of structures to non-stationary random excitations
• Stationary response to second-order filtered white-noise excitation
• Non-stationary random responses of a multi-degree-of-freedom system by the theory of evolutionary spectra
• On the Theory of the Brownian Motion II

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