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Title
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On a Theory of Complex Damping
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Report Number
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WL-TR-91-3078 Volume III, p. JCA-1 thru JCA-19
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Creator
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Liang, Z.
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Lee, G. C.
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Tong, M.
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Corporate Author
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State University of New York at Buffalo
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Date
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1991
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Date Issued
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1991-08
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Extent
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19
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Identifier
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ADA241313
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Format
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1 online resource
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Abstract
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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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Description
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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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Distribution Classification
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1
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Distribution Conflict
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No
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DTIC Record Exists
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No
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Illinois Tech Related
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No
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Photo Quality
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Not Needed
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Report Availability
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Full text available
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Type
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article