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Energy density spectra in actively controlled inelastic structures—theory
Author(s) -
Wong Kevin K. F.,
Pang Miao
Publication year - 2007
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.157
Subject(s) - spectral line , energy (signal processing) , parametric statistics , stiffness , range (aeronautics) , displacement (psychology) , structural engineering , physics , materials science , engineering , mathematics , statistics , quantum mechanics , psychology , composite material , psychotherapist
A method of generating energy density spectra obtained from earthquake response in actively controlled structural models is proposed for practical application based on the definition of different energy forms. Both elastic and inelastic energy density spectra are generated to study the energy transfer among various energy components. In the parametric study of elastic spectra with active control, the control force restraint parameter is adopted as an additional parameter in addition to the two commonly used parameters (i.e. natural period and damping ratio), and the yield displacement is adopted as the additional parameter in the analysis of inelastic spectra. In this first part of the research, numerical studies are carried out for both elastic and inelastic controlled structures using optimal linear control and ad hoc control algorithms. The energy density spectra of the three main components of the input energy, i.e. damping energy, control energy, and plastic energy, of the inelastic structure are investigated using two methods: (1) by varying structural stiffness; and (2) by varying structural mass. These energy density spectra for structures with a range of periods are evaluated and compared to verify their engineering significance. Copyright © 2005 John Wiley & Sons, Ltd.