Location

St. Louis, Missouri

Session Start Date

4-2-1995

Session End Date

4-7-1995

Abstract

The author investigates the propagation of wave motion in a continuum the material parameters of which are random functions of longitudinal coordinate. The analysis is based on the theory of Markov processes and the subsequent solution on the respective Fokker-Planck-Kolmogorov equation. The fully deterministic response in the excitation point transforms into nonhomogeneous random process in the longitudinal coordinate with the growing distance. The quota of the deterministic component in overall response drops until it disappears completely. The model of uncorrelated imperfections (white noise) of the continuum is inacceptable, because it is at variance with the energy equilibrium law. The results are compared with the conclusions resulting from the application of the integral spectral decomposition analysis and the finite element method based on correlation method.

Department(s)

Civil, Architectural and Environmental Engineering

Appears In

International Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics

Meeting Name

Third Conference

Publisher

University of Missouri--Rolla

Publication Date

4-2-1995

Document Version

Final Version

Rights

© 1995 University of Missouri--Rolla, All rights reserved.

Document Type

Article - Conference proceedings

File Type

text

Language

English

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Apr 2nd, 12:00 AM Apr 7th, 12:00 AM

Dispersion of Longitudinal Waves Propagating in a Continuum with Randomly Perturbated Parameters

St. Louis, Missouri

The author investigates the propagation of wave motion in a continuum the material parameters of which are random functions of longitudinal coordinate. The analysis is based on the theory of Markov processes and the subsequent solution on the respective Fokker-Planck-Kolmogorov equation. The fully deterministic response in the excitation point transforms into nonhomogeneous random process in the longitudinal coordinate with the growing distance. The quota of the deterministic component in overall response drops until it disappears completely. The model of uncorrelated imperfections (white noise) of the continuum is inacceptable, because it is at variance with the energy equilibrium law. The results are compared with the conclusions resulting from the application of the integral spectral decomposition analysis and the finite element method based on correlation method.