Premium
Data‐based model‐free representation of complex hysteretic MDOF systems
Author(s) -
F. Masri S.,
Tasbihgoo F.,
P. Caffrey J.,
W. Smyth A.,
G. Chassiakos A.
Publication year - 2006
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.147
Subject(s) - restoring force , control theory (sociology) , parametric statistics , eigenvalues and eigenvectors , modal , hysteresis , linear system , system identification , robustness (evolution) , nonlinear system , engineering , mathematics , structural engineering , computer science , mathematical analysis , artificial intelligence , physics , quantum mechanics , biochemistry , statistics , chemistry , control (management) , software engineering , data modeling , polymer chemistry , gene
A general approach is presented for developing data‐based, model‐free representations of complex non‐linear (including hysteretic) multi‐degree‐of‐freedom ( MDOF ) systems under arbitrary dynamic loads. Only the excitation forces and corresponding response is needed to implement the procedure: the system mass need not be known. The approach utilizes a two‐stage procedure: in the first stage, least‐squares techniques are used to identify the system matrices of an equivalent linear MDOF system; in the second stage, the non‐linear system restoring force vector is determined, and transformed into the ‘modal space’ associated with the eigenvectors of the linearized system. Subsequently, non‐parametric identification techniques are used to represent the transformed restoring force surface in terms of suitable state variables. The robustness of the method is illustrated by means of a 3 DOF system incorporating non‐linear features associated with friction, hysteresis, and limited‐slip phenomena, as typically encountered in ‘joints.’ Copyright © 2005 John Wiley & Sons, Ltd.