On a Theory of Complex Damping
Item
- Title
- On a Theory of Complex Damping
- Report Number
- WL-TR-91-3078 Volume III, p. JCA-1 thru JCA-19
- Creator
- Liang, Z.
- Lee, G. C.
- Tong, M.
- Corporate Author
- State University of New York at Buffalo
- Date
- 1991
- Date Issued
- 1991-08
- Extent
- 19
- Identifier
- ADA241313
- Format
- 1 online resource
- 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. - Description
-
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. - Distribution Classification
- 1
- Distribution Conflict
- No
- DTIC Record Exists
- No
- Illinois Tech Related
- No
- Photo Quality
- Not Needed
- Report Availability
- Full text available
- Type
- article
- Media
articleJCA
Linked resources
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| Title | Class |
|---|---|
| Proceedings of Damping '91: 13-15 February 1991 San Diego, California (GCA-1 through JCB-17) |