Abstract
For the seismic design of structures in which the respective supports are located at long distances from each other, the assumption of uniform ground motion may be inadequate. In this study, an efficient time domain method is proposed to determine seismic structural response considering the effect of stochastic multiple-support excitation (MSE). This method improves the Markov vector method by considering the frequency-dependent coherence function of the excitations, proposing a new modeling framework and solving strategy. The location of the time-modulating function is studied theoretically, the and the calculation method of the time-modulating function for an arbitrary excitation envelope of the MSE is studied. A natural way of calculating support damping is given. Based on the principle that a model built in absolute coordinates should be consistent with a model built in relative coordinates, the formulation of a damping matrix in absolute coordinates was studied. The nonstationary response variances were obtained by solving the governing ordinary differential equations. The results were compared with extensive Monte Carlo simulation, demonstrating that the proposed method is efficient and accurate for analysis of stochastically structures considering multiple-support excitation.
| Original language | English (US) |
|---|---|
| Article number | 04019096 |
| Journal | Journal of Engineering Mechanics |
| Volume | 145 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 1 2019 |
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Keywords
- Balanced model reduction
- Lyapunov equation
- Monte Carlo simulation
- Multiple-support excitation
- Vector fitting
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
Cite this
Efficient Estimation of Seismic Response of Large-Span Structures Considering the Effect of Multiple-Support Excitation. / Qin, Han; Li, Luyu; Spencer, Billie F.
In: Journal of Engineering Mechanics, Vol. 145, No. 12, 04019096, 01.12.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Efficient Estimation of Seismic Response of Large-Span Structures Considering the Effect of Multiple-Support Excitation
AU - Qin, Han
AU - Li, Luyu
AU - Spencer, Billie F.
PY - 2019/12/1
Y1 - 2019/12/1
N2 - For the seismic design of structures in which the respective supports are located at long distances from each other, the assumption of uniform ground motion may be inadequate. In this study, an efficient time domain method is proposed to determine seismic structural response considering the effect of stochastic multiple-support excitation (MSE). This method improves the Markov vector method by considering the frequency-dependent coherence function of the excitations, proposing a new modeling framework and solving strategy. The location of the time-modulating function is studied theoretically, the and the calculation method of the time-modulating function for an arbitrary excitation envelope of the MSE is studied. A natural way of calculating support damping is given. Based on the principle that a model built in absolute coordinates should be consistent with a model built in relative coordinates, the formulation of a damping matrix in absolute coordinates was studied. The nonstationary response variances were obtained by solving the governing ordinary differential equations. The results were compared with extensive Monte Carlo simulation, demonstrating that the proposed method is efficient and accurate for analysis of stochastically structures considering multiple-support excitation.
AB - For the seismic design of structures in which the respective supports are located at long distances from each other, the assumption of uniform ground motion may be inadequate. In this study, an efficient time domain method is proposed to determine seismic structural response considering the effect of stochastic multiple-support excitation (MSE). This method improves the Markov vector method by considering the frequency-dependent coherence function of the excitations, proposing a new modeling framework and solving strategy. The location of the time-modulating function is studied theoretically, the and the calculation method of the time-modulating function for an arbitrary excitation envelope of the MSE is studied. A natural way of calculating support damping is given. Based on the principle that a model built in absolute coordinates should be consistent with a model built in relative coordinates, the formulation of a damping matrix in absolute coordinates was studied. The nonstationary response variances were obtained by solving the governing ordinary differential equations. The results were compared with extensive Monte Carlo simulation, demonstrating that the proposed method is efficient and accurate for analysis of stochastically structures considering multiple-support excitation.
KW - Balanced model reduction
KW - Lyapunov equation
KW - Monte Carlo simulation
KW - Multiple-support excitation
KW - Vector fitting
UR - http://www.scopus.com/inward/record.url?scp=85072644979&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85072644979&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)EM.1943-7889.0001667
DO - 10.1061/(ASCE)EM.1943-7889.0001667
M3 - Article
AN - SCOPUS:85072644979
VL - 145
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
SN - 0733-9399
IS - 12
M1 - 04019096
ER -