An efficient algorithm for simultaneous identification of time-varying structural parameters and unknown excitations of a building structure

Q. Huang, You Lin Xu, H. J. Liu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

13 Citations (Scopus)

Abstract

When a structure is being damaged under unknown excitations, structural parameters of the damaged elements are actually varying with time. Hence, the simultaneous identification of time-varying structural parameters and unknown excitations is an important task in structural health monitoring. Although some analytical methods for such identifications are available in the literature, they are complicated, time-consuming, or restrained by special requirements. This paper presents an efficient algorithm for identifying time-varying structural parameters of a building structure under unknown excitations. By projecting on to the column space of influence matrix of unknown excitations, the observation equation of the structural system with unknown excitations is transformed from a multiple linear regression equation to a simple linear regression equation. By further introducing a time-varying correction factor matrix, an analytical recursive least-squares estimation algorithm is developed for identifying unknown excitations and time-varying structural parameters such as stiffness and damping. The feasibility and accuracy of the proposed algorithm are finally demonstrated through numerical examples and comparison with the existing methods. The results clearly exhibit that the proposed algorithm can simultaneously identify unknown excitations and time-varying structural parameters efficiently and accurately.
Original languageEnglish
Pages (from-to)29-37
Number of pages9
JournalEngineering Structures
Volume98
DOIs
Publication statusPublished - 1 Sep 2015

Keywords

  • Least-squares estimation
  • Projection matrix
  • Simultaneous identification
  • Time-varying correction factor
  • Time-varying structural parameters
  • Unknown excitations

ASJC Scopus subject areas

  • Civil and Structural Engineering

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