Damped Properties and Noether Symmetries of Damped Free Vibration
Publication: Practice Periodical on Structural Design and Construction
Volume 15, Issue 1
Abstract
This paper focuses on studying the damped properties of damped free vibration for single-degree-of-freedom system by using the Noether symmetries. Based on the Noether theorem, the damping coefficient and amplitude of the damped free vibration system were derived. It is shown that this method of symmetries is useful in studying damped vibration of dynamics of structure. An example is presented to illustrate these results.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China Research Grant No. UNSPECIFIED10672143
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Published In
Practice Periodical on Structural Design and Construction
Volume 15 • Issue 1 • February 2010
Pages: 50 - 53
Copyright
© 2010 ASCE.
History
Received: Oct 8, 2008
Accepted: Feb 13, 2009
Published online: Jan 15, 2010
Published in print: Feb 2010
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