A Precise and Stiffly Stable Time Integration Method for Vibration Equations

A Precise and Stiffly Stable Time Integration Method for Vibration Equations

A precise and stiffly stable time integration method with numerical dissipation is presented for solving MCK type equations of motion. Its algorithm is assumed that acceleration during time step is expressed as a quadratic function. Stability and accuracy are investigated by numerical analysis to fi...

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Veröffentlicht in:TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 2001/04/25, Vol.67(656), pp.929-934
Hauptverfasser: FUJIKAWA, Takeshi, IMANISHI, Etsujiro
Format: Artikel
Sprache:eng ; jpn
Schlagworte:
Numerical Analysis
Numerical Damping
Time History Analysis
Time Integration
Transient Response
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container_title TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
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creator FUJIKAWA, Takeshi
IMANISHI, Etsujiro
description A precise and stiffly stable time integration method with numerical dissipation is presented for solving MCK type equations of motion. Its algorithm is assumed that acceleration during time step is expressed as a quadratic function. Stability and accuracy are investigated by numerical analysis to find out the best parameter values of the algorithm. Characteristics of this method are compared with other methods such as Newmark, Wilson, HHT-α method, etc, which showed that this method has much better accuracy for low frequency modes, and strong dissipation for high frequency modes. Some calculation examples are shown.
doi_str_mv 10.1299/kikaic.67.929
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language eng ; jpn
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source J-STAGE (Free - Japanese); Free E-Journal (出版社公開部分のみ）
subjects Numerical Analysis
Numerical Damping
Time History Analysis
Time Integration
Transient Response
title A Precise and Stiffly Stable Time Integration Method for Vibration Equations
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