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A method for fast simulation of seismically excited active controlled MDOF structures
Author(s) -
Agranovich G.,
Ribakov Y.,
Blostotsky B.
Publication year - 2004
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.52
Subject(s) - computation , discretization , numerical integration , stiff equation , differential equation , stiffness , computer science , control theory (sociology) , differential (mechanical device) , mathematics , scheme (mathematics) , algorithm , mathematical analysis , engineering , control (management) , structural engineering , artificial intelligence , aerospace engineering
Abstract A mathematical model of seismically excited structures, including executing devices of control systems, represents a system of differential equations. The main problem in numerical integration of these equations is the stiffness of the equations. The integration procedure for a stiff differential equation may give rise to a long computation time and, for conventional integration methods, the computation may be unstable. A stable method for fast integration is proposed in this paper. The continuous dynamic system is transformed into an equivalent discrete‐time system. The discretization yields a recurrent scheme, which enables to increase the computation speed and results in a stable computation procedure. The efficiency of the proposed method is demonstrated in numerical examples. Copyright © 2004 John Wiley & Sons, Ltd.