Details
| Original language | English |
|---|---|
| Number of pages | 8 |
| Publication status | Published - 2019 |
| Event | 13th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2019 - Seoul, South Korea, Seoul, Korea, Republic of Duration: 26 May 2019 → 30 May 2019 Conference number: 13 |
Conference
| Conference | 13th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2019 |
|---|---|
| Abbreviated title | ICASP13 |
| Country/Territory | Korea, Republic of |
| City | Seoul |
| Period | 26 May 2019 → 30 May 2019 |
Abstract
An efficient stochastic modal decomposition method for random vibration analysis of non-classically damped nonlinear multi-degree-of-freedom (MDOF) systems is proposed in accordance with contemporary aseismic code provisions (e.g., EC8). Specifically, relying on statistical linearization and state-variable formulation, the complex eigenvalue problem considering inelastic MDOF structural systems subject to stochastic seismic processes is formulated and solved. To this aim, equivalent linear modal properties (EMPs), i.e., natural frequencies and damping ratios, are appropriately defined and evaluated based on an iterative scheme involving the determination of the system response covariance matrix as well. Note that the stochastic excitations are characterized by power spectra compatible in a stochastic sense with a given elastic response uniform hazard spectrum (UHS) of specified modal damping ratio. Next, the system EMPs are utilized in conjunction with the response elastic UHS for determining peak nonlinear responses in modal coordinates. Further, modal participation factors are evaluated for the complex-valued mode shapes and the generalized complete-quadratic-combination (CQC) is employed as the modal combination rule for determining the peak total responses. The reliability of the proposed framework is assessed by considering a 3-storey nonlinear frame structure exposed to the Eurocode 8 elastic response spectrum. Nonlinear response time-history analysis (RHA) involving a large ensemble of Eurocode 8 spectrum compatible accelerograms is conducted to assess the accuracy of the proposed approach.
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Statistics and Probability
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2019. Paper presented at 13th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2019, Seoul, Korea, Republic of.
Research output: Contribution to conference › Paper › Research › peer review
}
TY - CONF
T1 - An efficient complex modal decomposition method for inelastic stochastic design spectrum-based analysis
AU - Mitseas, Ioannis P.
AU - Kougioumtzoglou, Ioannis A.
AU - Beer, Michael
N1 - Conference code: 13
PY - 2019
Y1 - 2019
N2 - An efficient stochastic modal decomposition method for random vibration analysis of non-classically damped nonlinear multi-degree-of-freedom (MDOF) systems is proposed in accordance with contemporary aseismic code provisions (e.g., EC8). Specifically, relying on statistical linearization and state-variable formulation, the complex eigenvalue problem considering inelastic MDOF structural systems subject to stochastic seismic processes is formulated and solved. To this aim, equivalent linear modal properties (EMPs), i.e., natural frequencies and damping ratios, are appropriately defined and evaluated based on an iterative scheme involving the determination of the system response covariance matrix as well. Note that the stochastic excitations are characterized by power spectra compatible in a stochastic sense with a given elastic response uniform hazard spectrum (UHS) of specified modal damping ratio. Next, the system EMPs are utilized in conjunction with the response elastic UHS for determining peak nonlinear responses in modal coordinates. Further, modal participation factors are evaluated for the complex-valued mode shapes and the generalized complete-quadratic-combination (CQC) is employed as the modal combination rule for determining the peak total responses. The reliability of the proposed framework is assessed by considering a 3-storey nonlinear frame structure exposed to the Eurocode 8 elastic response spectrum. Nonlinear response time-history analysis (RHA) involving a large ensemble of Eurocode 8 spectrum compatible accelerograms is conducted to assess the accuracy of the proposed approach.
AB - An efficient stochastic modal decomposition method for random vibration analysis of non-classically damped nonlinear multi-degree-of-freedom (MDOF) systems is proposed in accordance with contemporary aseismic code provisions (e.g., EC8). Specifically, relying on statistical linearization and state-variable formulation, the complex eigenvalue problem considering inelastic MDOF structural systems subject to stochastic seismic processes is formulated and solved. To this aim, equivalent linear modal properties (EMPs), i.e., natural frequencies and damping ratios, are appropriately defined and evaluated based on an iterative scheme involving the determination of the system response covariance matrix as well. Note that the stochastic excitations are characterized by power spectra compatible in a stochastic sense with a given elastic response uniform hazard spectrum (UHS) of specified modal damping ratio. Next, the system EMPs are utilized in conjunction with the response elastic UHS for determining peak nonlinear responses in modal coordinates. Further, modal participation factors are evaluated for the complex-valued mode shapes and the generalized complete-quadratic-combination (CQC) is employed as the modal combination rule for determining the peak total responses. The reliability of the proposed framework is assessed by considering a 3-storey nonlinear frame structure exposed to the Eurocode 8 elastic response spectrum. Nonlinear response time-history analysis (RHA) involving a large ensemble of Eurocode 8 spectrum compatible accelerograms is conducted to assess the accuracy of the proposed approach.
UR - http://www.scopus.com/inward/record.url?scp=85083952375&partnerID=8YFLogxK
U2 - 10.22725/ICASP13.208
DO - 10.22725/ICASP13.208
M3 - Paper
T2 - 13th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2019
Y2 - 26 May 2019 through 30 May 2019
ER -