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Control strategy for variable damping element considering near‐future excitation influence
Author(s) -
Yamada Kazuhiko
Publication year - 2000
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 - 10.1002/1096-9845(200008)29:8<1199::aid-eqe966>3.0.co;2-y
Subject(s) - excitation , autoregressive model , state variable , euler equations , control theory (sociology) , stiffness , euler's formula , quadratic equation , moment (physics) , state vector , mathematics , mathematical analysis , physics , computer science , classical mechanics , engineering , control (management) , structural engineering , geometry , quantum mechanics , artificial intelligence , econometrics , thermodynamics
A control strategy is proposed for variable damping elements (VDEs) used together with auxiliary stiffness elements (ASEs) that compose a time‐varying non‐linear Maxwell (NMW) element, considering near‐future excitation influence. The strategy first composes a state equation for the structural dynamics and the mechanical balance in the NMW elements. Next, it establishes a cost function for estimating future responses by the weighted quadratic norms of the state vector, the controlled force and the VDEs' damping coefficients. Then, the Euler equations for the optimum values are introduced, and also approximated by the first‐order terms under the autoregressive (AR) model of excitation information. Thus, at each moment t k , the strategy conducts the following steps: (1) identify the obtained seismic excitation information to an AR model, and convert it to a state equation; and (2) determine VDEs' damping coefficients under the initial conditions at t k and the final state at t k + L , using the first‐order approximation of the Euler equations. The control effects are examined by numerical experiments. Copyright © 2000 John Wiley & Sons, Ltd.