Location
St. Louis, Missouri
Presentation Date
05 Apr 1995, 1:30 pm - 3:30 pm
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
Meeting Name
3rd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics
Publisher
University of Missouri--Rolla
Document Version
Final Version
Rights
© 1995 University of Missouri--Rolla, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Document Type
Article - Conference proceedings
File Type
text
Language
English
Recommended Citation
Náprstek, J., "Dispersion of Longitudinal Waves Propagating in a Continuum with Randomly Perturbated Parameters" (1995). International Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics. 9.
https://scholarsmine.mst.edu/icrageesd/03icrageesd/session10/9
Included in
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.
