A Mathematical Framework for the Study of Indirect Damping Mechanisms
Item
- Title
- A Mathematical Framework for the Study of Indirect Damping Mechanisms
- Description
- Indirect damping, as it applies to a linear oscillator ẋ = Ax, induces energy decay through coupling of this system with an auxiliary dissipative system, rather than through insertion of dissipative terms in the original equation. Familiar physical examples lead one to distinguish (at least) two types of indirect damping; the velocity coupled dissipator and the displacement coupled dissipator. While these induce energy decay through quite distinct physical processes, we are able to show that they are mathematically equivalent. We go on to develop the mathematical properties of these models and to explore sufficient conditions under which frequency proportional damping rates may be expected. A number of examples, taken from familiar physical contexts, are cited.
- Creator
- Russell, David L.
- Publisher
- Wright-Patterson Air Force Base, OH : Wright Laboratory, Flight Dynamics Directorate, Air Force Systems Command
- Date
- 1991
- Format
- 1 online reousrce (1 page)
- Type
- article
- Abstract
- Indirect damping, as it applies to a linear oscillator ẋ = Ax, induces energy decay through coupling of this system with an auxiliary dissipative system, rather than through insertion of dissipative terms in the original equation. Familiar physical examples lead one to distinguish (at least) two types of indirect damping; the velocity coupled dissipator and the displacement coupled dissipator. While these induce energy decay through quite distinct physical processes, we are able to show that they are mathematically equivalent. We go on to develop the mathematical properties of these models and to explore sufficient conditions under which frequency proportional damping rates may be expected. A number of examples, taken from familiar physical contexts, are cited.
- Date Issued
- 1991-08
- Extent
- 1
- Corporate Author
- Virginia Polytechnic Institute and State University
- Laboratory
- Wright Laboratory
- Report Number
- WL-TR-91-3078 Volume II, page ECA-1
- DoD Project
- 2401
- DoD Task
- 240104
- Distribution Conflict
- No
- Index Abstract
- Contrails only
- Photo Quality
- Not Needed
- Report Availability
- Full text available
- Provenance
- University of Colorado Colorado Springs, Kraemer Family Library
- Identifier
- ADA241312
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| Title | Class |
|---|---|
| Proceedings of Damping '91: 13-15 February 1991 San Diego, California (EAA-1 through GBC-16) |