thumbnail

Time-domain representation of frequency-dependent foundation impedance functions

Soil Dynamics and Earthquake Engineering

By:
DOI: 10.1016/j.soildyn.2005.08.004

Links

Abstract

Foundation impedance functions provide a simple means to account for soil-structure interaction (SSI) when studying seismic response of structures. Impedance functions represent the dynamic stiffness of the soil media surrounding the foundation. The fact that impedance functions are frequency dependent makes it difficult to incorporate SSI in standard time-history analysis software. This paper introduces a simple method to convert frequency-dependent impedance functions into time-domain filters. The method is based on the least-squares approximation of impedance functions by ratios of two complex polynomials. Such ratios are equivalent, in the time-domain, to discrete-time recursive filters, which are simple finite-difference equations giving the relationship between foundation forces and displacements. These filters can easily be incorporated into standard time-history analysis programs. Three examples are presented to show the applications of the method.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Time-domain representation of frequency-dependent foundation impedance functions
Series title:
Soil Dynamics and Earthquake Engineering
DOI:
10.1016/j.soildyn.2005.08.004
Volume
26
Issue:
1
Year Published:
2006
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
First page:
65
Last page:
70
Number of Pages:
6