Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • I. P. Mitseas
  • P. Ni
  • V. C. Fragkoulis
  • F. Kong
  • M. Beer
  • M. Fragiadakis

Research Organisations

External Research Organisations

  • National Technical University of Athens (NTUA)
  • University of Leeds
  • Wuhan University of Technology
  • University of Liverpool
  • International Joint Research Center for Engineering Reliability and Stochastic Mechanics
  • Tongji University
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Details

Original languageEnglish
Title of host publicationEccomas Proceedia COMPDYN
Pages5367-5373
Number of pages7
Publication statusPublished - 2021
Event8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2021 - Athens, Greece
Duration: 28 Jun 202130 Jun 2021

Publication series

NameCOMPDYN 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

Cite this

Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations. / Mitseas, I. P.; Ni, P.; Fragkoulis, V. C. et al.
Eccomas Proceedia COMPDYN. 2021. p. 5367-5373 (COMPDYN Proceedings).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Mitseas, IP, Ni, P, Fragkoulis, VC, Kong, F, Beer, M & Fragiadakis, M 2021, Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations. in Eccomas Proceedia COMPDYN. COMPDYN Proceedings, pp. 5367-5373, 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2021, Athens, Greece, 28 Jun 2021. https://doi.org/10.7712/120121.8872.20780
Mitseas, I. P., Ni, P., Fragkoulis, V. C., Kong, F., Beer, M., & Fragiadakis, M. (2021). Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations. In Eccomas Proceedia COMPDYN (pp. 5367-5373). (COMPDYN Proceedings). https://doi.org/10.7712/120121.8872.20780
Mitseas IP, Ni P, Fragkoulis VC, Kong F, Beer M, Fragiadakis M. Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations. In Eccomas Proceedia COMPDYN. 2021. p. 5367-5373. (COMPDYN Proceedings). doi: 10.7712/120121.8872.20780
Mitseas, I. P. ; Ni, P. ; Fragkoulis, V. C. et al. / Stochastic nonlinear response of structural systems endowed with singular matrices subject to combined periodic and stochastic excitations. Eccomas Proceedia COMPDYN. 2021. pp. 5367-5373 (COMPDYN Proceedings).
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