Details
| Original language | English |
|---|---|
| Title of host publication | Eccomas Proceedia COMPDYN |
| Pages | 5367-5373 |
| Number of pages | 7 |
| Publication status | Published - 2021 |
| Event | 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2021 - Athens, Greece Duration: 28 Jun 2021 → 30 Jun 2021 |
Publication series
| Name | COMPDYN Proceedings |
|---|---|
| ISSN (Print) | 2623-3347 |
Abstract
A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear complex multi-body systems with singular parameter matrices subject to combined periodic and stochastic loads. The singular parameter matrices are due to adopting redundant coordinates for modeling the system governing equations of motion. Considering that the system response has a periodic as well as a stochastic component, a harmonic balance methodbased scheme is used for treating the deterministic component, followed by the application of the generalized statistical linearization method, in conjunction with an averaging treatment to account for the stochastic component. The validity of the proposed technique is demonstrated by pertinent numerical examples.
Keywords
- Combined periodic and stochastic excitations, Moore-penrose inverse matrix, Nonlinear system, Singular matrix, Statistical linearization
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Computers in Earth Sciences
- Earth and Planetary Sciences(all)
- Geotechnical Engineering and Engineering Geology
- Mathematics(all)
- Computational Mathematics
- Engineering(all)
- Civil and Structural Engineering
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Eccomas Proceedia COMPDYN. 2021. p. 5367-5373 (COMPDYN Proceedings).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations
AU - Mitseas, I. P.
AU - Ni, P.
AU - Fragkoulis, V. C.
AU - Kong, F.
AU - Beer, M.
AU - Fragiadakis, M.
N1 - Funding Information: The research work herein was supported by the Hellenic Foundation for Research and Innovation under Grant/Project No. 1261. This support is gratefully acknowledged.
PY - 2021
Y1 - 2021
N2 - A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear complex multi-body systems with singular parameter matrices subject to combined periodic and stochastic loads. The singular parameter matrices are due to adopting redundant coordinates for modeling the system governing equations of motion. Considering that the system response has a periodic as well as a stochastic component, a harmonic balance methodbased scheme is used for treating the deterministic component, followed by the application of the generalized statistical linearization method, in conjunction with an averaging treatment to account for the stochastic component. The validity of the proposed technique is demonstrated by pertinent numerical examples.
AB - A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear complex multi-body systems with singular parameter matrices subject to combined periodic and stochastic loads. The singular parameter matrices are due to adopting redundant coordinates for modeling the system governing equations of motion. Considering that the system response has a periodic as well as a stochastic component, a harmonic balance methodbased scheme is used for treating the deterministic component, followed by the application of the generalized statistical linearization method, in conjunction with an averaging treatment to account for the stochastic component. The validity of the proposed technique is demonstrated by pertinent numerical examples.
KW - Combined periodic and stochastic excitations
KW - Moore-penrose inverse matrix
KW - Nonlinear system
KW - Singular matrix
KW - Statistical linearization
UR - http://www.scopus.com/inward/record.url?scp=85126129643&partnerID=8YFLogxK
U2 - 10.7712/120121.8872.20780
DO - 10.7712/120121.8872.20780
M3 - Conference contribution
AN - SCOPUS:85126129643
T3 - COMPDYN Proceedings
SP - 5367
EP - 5373
BT - Eccomas Proceedia COMPDYN
T2 - 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2021
Y2 - 28 June 2021 through 30 June 2021
ER -