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
Is Part Of
Proceedings of Damping '91: 13-15 February 1991 San Diego, California (EAA-1 through GBC-16)
Media
WLTR91-3078volume02articleECA.pdf

Linked resources

Items with "Has Part: A Mathematical Framework for the Study of Indirect Damping Mechanisms"
Title Class
Proceedings of Damping '91: 13-15 February 1991 San Diego, California (EAA-1 through GBC-16)