Summary
In the paper is presented the application of Green's multi-dimensional function to determine the probabilistic characteristics of the solutions of stochastic linear equations with time-variable coefficients, with random initial conditions and random excitations.
The method is applied to calculate the variances of solutions for the vibrations of a vehicle model (or suspension) accelerated over a random profile.
Übersicht
Die Greensche Funktion wird angewendet zur Ermittlung des Lösungsverhaltens stochastischer, linearer Differentialgleichungen mit zeitabhängigen Koeffizienten, mit Zufalls-Anfangsbedingungen und mit Zufalls-Erregung. Die Methode wird in einem Anwendungsbeispiel (Schwingungen eines beschleunigten Fahrzeugmodells) demonstriert.
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Pękała, W., Szopa, J. The application of green's multi-dimensional function to investigate the stochastic vibrations of dynamical systems. Ing. arch 54, 91–97 (1984). https://doi.org/10.1007/BF00533307
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DOI: https://doi.org/10.1007/BF00533307