Time-domain representation of frequency-dependent foundation impedance functions
Soil Dynamics and Earthquake Engineering
By: E. Safak
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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.
Suggested Citation
Safak, E., 2006, Time-domain representation of frequency-dependent foundation impedance functions: Soil Dynamics and Earthquake Engineering, v. 26, no. 1, p. 65-70, https://doi.org/10.1016/j.soildyn.2005.08.004.
| 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 |
| Larger Work Title | Soil Dynamics and Earthquake Engineering |
| First page | 65 |
| Last page | 70 |