Location

San Diego, California

Session Start Date

5-24-2010

Session End Date

5-29-2010

Abstract

In this paper a formulation has been presented to obtain the non-stationary response of a single degree of freedom system resting on a single layered soil medium and subjected to simultaneous horizontal and vertical seismic excitations. The wavelet based analytical technique using the modified Littlewood-Paley function has been adopted to characterize the seismic ground motions. Subsequently, the system equations have been solved in wavelet domain and closed form solutions for the response of the structure have been derived. The response has been calculated using wavelet based formulation and the traditional complex valued transfer function. A numerical example is also presented in which a number of parametric variations have been carried out to observe the effect of change of the shear wave velocity of the soil, the ratio of the mass of the structure to the mass of the foundation, the natural frequency of vibration of the structure and the radius of the footing on the responses of the structure. The present formulation would allow the geotechnical earthquake engineers to estimate accurately the response of the structure and the foundation and their nature due to the soil-structure interaction in cases where the seismic ground motions are active simultaneously in both horizontal and vertical directions.

Department(s)

Civil, Architectural and Environmental Engineering

Appears In

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

Meeting Name

Fifth Conference

Publisher

Missouri University of Science and Technology

Publication Date

5-24-2010

Document Version

Final Version

Rights

© 2010 Missouri University of Science and Technology, All rights reserved.

Document Type

Article - Conference proceedings

File Type

text

Language

English

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May 24th, 12:00 AM May 29th, 12:00 AM

Non-Stationary Soil-Structure Interaction Analysis of a SDOF System Subjected to Joint Horizontal and Vertical Seismic Excitations

San Diego, California

In this paper a formulation has been presented to obtain the non-stationary response of a single degree of freedom system resting on a single layered soil medium and subjected to simultaneous horizontal and vertical seismic excitations. The wavelet based analytical technique using the modified Littlewood-Paley function has been adopted to characterize the seismic ground motions. Subsequently, the system equations have been solved in wavelet domain and closed form solutions for the response of the structure have been derived. The response has been calculated using wavelet based formulation and the traditional complex valued transfer function. A numerical example is also presented in which a number of parametric variations have been carried out to observe the effect of change of the shear wave velocity of the soil, the ratio of the mass of the structure to the mass of the foundation, the natural frequency of vibration of the structure and the radius of the footing on the responses of the structure. The present formulation would allow the geotechnical earthquake engineers to estimate accurately the response of the structure and the foundation and their nature due to the soil-structure interaction in cases where the seismic ground motions are active simultaneously in both horizontal and vertical directions.