A method for fast simulation of seismically excited active controlled MDOF structures | Zendy

Agranovich G. | Zendy; Ribakov Y. | Zendy; Blostotsky B. | Zendy

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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

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.

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