Location
St. Louis, Missouri
Presentation Date
13 Mar 1991, 1:30 pm - 3:30 pm
Abstract
It is a known fact that any disturbance at the ground surface, like the one created by vibratory, compactors or by application of blast pressure on detonation of a foamed propellant, is transmitted into ground until it is weak enough to travel deeper and farther. The ground acceleration at various points, induces compaction. The transmission of vibrations due to such surface dynamic loads are governed by the equation of motion based on Newton's second law. The equation of motion is presented in Euiler's Coordinates using tensor notation and is solved for surface displacements due to surface dynamic loads. These loads are likely to be experienced over a half space due to movement of vehicles, compactors etc. The paper presents a finite difference iterative method for solving the above equation which permits the simultaneous solution of two partial differential equations in plane strain condition. Results of the present analysis have been compared with those available from theory of elasticity.
Department(s)
Civil, Architectural and Environmental Engineering
Meeting Name
2nd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics
Publisher
University of Missouri--Rolla
Document Version
Final Version
Rights
© 1991 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
Agarwal, K. B. and Ram, B. Siva, "A Numerical Solution of Wave Equation for Dynamic Compaction of Soil" (1991). International Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics. 1.
https://scholarsmine.mst.edu/icrageesd/02icrageesd/session11/1
Included in
A Numerical Solution of Wave Equation for Dynamic Compaction of Soil
St. Louis, Missouri
It is a known fact that any disturbance at the ground surface, like the one created by vibratory, compactors or by application of blast pressure on detonation of a foamed propellant, is transmitted into ground until it is weak enough to travel deeper and farther. The ground acceleration at various points, induces compaction. The transmission of vibrations due to such surface dynamic loads are governed by the equation of motion based on Newton's second law. The equation of motion is presented in Euiler's Coordinates using tensor notation and is solved for surface displacements due to surface dynamic loads. These loads are likely to be experienced over a half space due to movement of vehicles, compactors etc. The paper presents a finite difference iterative method for solving the above equation which permits the simultaneous solution of two partial differential equations in plane strain condition. Results of the present analysis have been compared with those available from theory of elasticity.