- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP) (12th : 2015) /
- A stochastic dynamics approach for response spectrum...
Open Collections
International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP) (12th : 2015)
A stochastic dynamics approach for response spectrum analysis of bilinear systems using time-dependent equivalent linear properties Giaralis, Agathoklis; Kougioumtzoglou, Ioannis A.
Abstract
A stochastic averaging approach is used in conjunction with non-stationary response spectrum compatible random processes to derive time-varying effective linear properties (ELPs), namely damping ratio and natural frequency, for bilinear hysteretic oscillators subject to seismic excitation specified by an elastic response spectrum. It is shown numerically that the peak response of linear oscillators defined by these ELPs at the time instant for which the variance of either the excitation process or the estimated non-linear response process approximates well the peak inelastic response of a given bilinear oscillator. This is demonstrated by considering a uniformly modulated random process compatible with the Eurocode 8 (EC8) elastic response spectrum to derive ELPs from bilinear oscillators of various properties, and an ensemble of 40 artificial EC8 compatible non-stationary accelerograms to obtain peak responses of the same oscillators in a Monte Carlo based analysis. The reported numerical data suggest that peak response of bilinear hysteretic systems can be reliably estimated by the peak response of surrogate linear systems without the need to undertake nonlinear response history analysis for seismic excitation represented by appropriate non-stationary random processes.
Item Metadata
Title |
A stochastic dynamics approach for response spectrum analysis of bilinear systems using time-dependent equivalent linear properties
|
Creator | |
Contributor | |
Date Issued |
2015-07
|
Description |
A stochastic averaging approach is used in conjunction with non-stationary response
spectrum compatible random processes to derive time-varying effective linear properties (ELPs),
namely damping ratio and natural frequency, for bilinear hysteretic oscillators subject to seismic
excitation specified by an elastic response spectrum. It is shown numerically that the peak response of
linear oscillators defined by these ELPs at the time instant for which the variance of either the
excitation process or the estimated non-linear response process approximates well the peak inelastic
response of a given bilinear oscillator. This is demonstrated by considering a uniformly modulated
random process compatible with the Eurocode 8 (EC8) elastic response spectrum to derive ELPs from
bilinear oscillators of various properties, and an ensemble of 40 artificial EC8 compatible non-stationary
accelerograms to obtain peak responses of the same oscillators in a Monte Carlo based
analysis. The reported numerical data suggest that peak response of bilinear hysteretic systems can be
reliably estimated by the peak response of surrogate linear systems without the need to undertake nonlinear
response history analysis for seismic excitation represented by appropriate non-stationary
random processes.
|
Genre | |
Type | |
Language |
eng
|
Notes |
This collection contains the proceedings of ICASP12, the 12th International Conference on Applications of Statistics and Probability in Civil Engineering held in Vancouver, Canada on July 12-15, 2015. Abstracts were peer-reviewed and authors of accepted abstracts were invited to submit full papers. Also full papers were peer reviewed. The editor for this collection is Professor Terje Haukaas, Department of Civil Engineering, UBC Vancouver.
|
Date Available |
2015-05-25
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
|
DOI |
10.14288/1.0076259
|
URI | |
Affiliation | |
Citation |
Haukaas, T. (Ed.) (2015). Proceedings of the 12th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP12), Vancouver, Canada, July 12-15.
|
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada