A Mathematical Framework for the Study of Indirect Damping Mechanisms
Report Number: WL-TR-91-3078 Volume II, page ECA-1
Author(s): Russell, David L.
Corporate Author(s): Virginia Polytechnic Institute and State University
Laboratory: Wright Laboratory
Date of Publication: 1991-08
Pages: 1
DoD Project: 2401
DoD Task: 240104
Identifier: This paper is part of a conference proceedings. See ADA241312
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.
Provenance: University of Colorado Colorado Springs, Kraemer Family Library
Author(s): Russell, David L.
Corporate Author(s): Virginia Polytechnic Institute and State University
Laboratory: Wright Laboratory
Date of Publication: 1991-08
Pages: 1
DoD Project: 2401
DoD Task: 240104
Identifier: This paper is part of a conference proceedings. See ADA241312
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.
Provenance: University of Colorado Colorado Springs, Kraemer Family Library
Other options for obtaining this report:
Via the Defense Technical Information Center (DTIC): Identifier: This paper is part of a conference proceedings. Access a record for the conference proceedings, and possibly a pdf download of the report, at DTIC Via National Technical Report Library: This report may be available for download from NTRL. Use the Title from this record to locate the item in DTIC Online Indications of Public Availability No digital image of an index entry indicating public availability is currently available There has been no verification of an indication of public availability from an inside cover statementRelated report(s)
This report is part of the following conference:
-
Proceedings of Damping '91: 13-15 February 1991 San Diego, California (EAA-1 through GBC-16)
WL-TR-91-3078 Volume II