On a Theory of Complex Damping
Report Number: WL-TR-91-3078 Volume III, p. JCA-1 thru JCA-19
Author(s): Liang, Z., Lee, G. C., Tong, M.
Corporate Author(s): State University of New York at Buffalo
Date of Publication: 1991-08
Pages: 19
DoD Task:
Identifier: This paper is part of a conference proceedings. See ADA241313
Abstract:
In non-proportionally damped structures, both energy dlsslpatl.on and energy transformation exist . To characterize such aspects, ln this paper, a new concept of complex damping ratio is introduced by means of generalizing the concept of Rayleigh quotient . The real part of this new quantity is the traditionally defined damping ratio, which reflects the modal energy dissipation per cycle; whereas, the imaginary part describes a ratio of energy transformation of a virtual mode per cycle. With this new concept, modal equations are set up and other relevant theoretical results are developed. Such a theory of complex damping ls not only an alternativeway to describe the phenomena of complex modes, but also a useful tool, with strong physical meaning, for solving many theoretical and engineering problems of non-proportionally damped systems.
Author(s): Liang, Z., Lee, G. C., Tong, M.
Corporate Author(s): State University of New York at Buffalo
Date of Publication: 1991-08
Pages: 19
DoD Task:
Identifier: This paper is part of a conference proceedings. See ADA241313
Abstract:
In non-proportionally damped structures, both energy dlsslpatl.on and energy transformation exist . To characterize such aspects, ln this paper, a new concept of complex damping ratio is introduced by means of generalizing the concept of Rayleigh quotient . The real part of this new quantity is the traditionally defined damping ratio, which reflects the modal energy dissipation per cycle; whereas, the imaginary part describes a ratio of energy transformation of a virtual mode per cycle. With this new concept, modal equations are set up and other relevant theoretical results are developed. Such a theory of complex damping ls not only an alternativeway to describe the phenomena of complex modes, but also a useful tool, with strong physical meaning, for solving many theoretical and engineering problems of non-proportionally damped systems.
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This report is part of the following conference:
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Proceedings of Damping '91: 13-15 February 1991 San Diego, California (GCA-1 through JCB-17)
WL-TR-91-3078 Volume III