Premium
On‐line identification of non‐linear hysteretic structural systems using a variable trace approach
Author(s) -
Lin JengWen,
Betti Raimondo,
Smyth Andrew W.,
Longman Richard W.
Publication year - 2001
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.63
Subject(s) - trace (psycholinguistics) , parametric statistics , convergence (economics) , identification (biology) , diagonal , structural system , algorithm , variable (mathematics) , noise (video) , line (geometry) , interval (graph theory) , control theory (sociology) , system identification , sampling (signal processing) , estimation theory , computer science , mathematics , engineering , statistics , structural engineering , mathematical analysis , measure (data warehouse) , philosophy , filter (signal processing) , database , artificial intelligence , image (mathematics) , economic growth , linguistics , control (management) , computer vision , combinatorics , economics , biology , geometry , botany
In this paper, an adaptive on‐line parametric identification algorithm based on the variable trace approach is presented for the identification of non‐linear hysteretic structures. At each time step, this recursive least‐square‐based algorithm upgrades the diagonal elements of the adaptation gain matrix by comparing the values of estimated parameters between two consecutive time steps. Such an approach will enforce a smooth convergence of the parameter values, a fast tracking of the parameter changes and will remain adaptive as time progresses. The effectiveness and efficiency of the proposed algorithm is shown by considering the effects of excitation amplitude, of the measurement units, of larger sampling time interval and of measurement noise. The cases of exact‐, under‐, over‐parameterization of the structural model have been analysed. The proposed algorithm is also quite effective in identifying time‐varying structural parameters to simulate cumulative damage in structural systems. Copyright © 2001 John Wiley & Sons, Ltd.