Elimination of Overshoot in Forced Vibration Responses for Chang Explicit Family Methods
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Volume 144, Issue 2
Abstract
An unusual overshooting behavior might be experienced in the forced response of a high-frequency mode for a structure-dependent integration method. This unusual overshooting is different from that found in the free vibration response and can be detected by examining an alternative form of the local truncation error derived from a forced vibration response rather than a free vibration response. In addition, this local truncation error can be applied to develop an effective remedy to remove the adverse overshoot behavior. This remedy can be obtained by introducing a load-dependent term into the difference equation for displacement increment for structure-dependent integration methods, such as the first and second Chang family methods. All the analytical findings are numerically verified.
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Acknowledgments
The author is grateful to acknowledge that this study is financially supported by the National Science Council, Taiwan, R.O.C., under Grant No. NSC-100-2211-E-027-012.
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 2 • February 2018
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©2017 American Society of Civil Engineers.
History
Received: May 19, 2016
Accepted: Aug 2, 2017
Published online: Dec 7, 2017
Published in print: Feb 1, 2018
Discussion open until: May 7, 2018
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