Location
St. Louis, Missouri
Presentation Date
13 Mar 1991, 1:30 pm - 3:30 pm
Abstract
A lumped-parameter model to represent a disk on the surface of a layer built-in at its base vibrating in horizontal, vertical, rocking or torsional motions is presented. Eight frequency-independent real coefficients determine the springs, dampers and the mass of the lumped-parameter model with two internal degrees of freedom. These coefficients are specified for various ratios of the radius of the disk to the depth of the layer and for various Poisson's ratios. To derive the mechanical properties of the lumped-parameter a systematic procedure of curve-fitting of the dynamic-stiffness coefficient up to at least twice the fundamental frequency of the layer is applied, capturing the fact that below the fundamental frequency in the horizontal direction no radiation of energy occurs. The lumped-parameter model can be used to represent the soil in a standard finite-element program for structural dynamics working in the time domain.
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
Wolf, John P. and Paronesso, Antonio, "Lumped-Parameter Model for Foundation on Layer" (1991). International Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics. 22.
https://scholarsmine.mst.edu/icrageesd/02icrageesd/session05/22
Included in
Lumped-Parameter Model for Foundation on Layer
St. Louis, Missouri
A lumped-parameter model to represent a disk on the surface of a layer built-in at its base vibrating in horizontal, vertical, rocking or torsional motions is presented. Eight frequency-independent real coefficients determine the springs, dampers and the mass of the lumped-parameter model with two internal degrees of freedom. These coefficients are specified for various ratios of the radius of the disk to the depth of the layer and for various Poisson's ratios. To derive the mechanical properties of the lumped-parameter a systematic procedure of curve-fitting of the dynamic-stiffness coefficient up to at least twice the fundamental frequency of the layer is applied, capturing the fact that below the fundamental frequency in the horizontal direction no radiation of energy occurs. The lumped-parameter model can be used to represent the soil in a standard finite-element program for structural dynamics working in the time domain.
