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General theory of vibration of damped linear dynamic systems

Caughey, Thomas Kirk and O'Kelly, Michael Edmond James (1963) General theory of vibration of damped linear dynamic systems. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechEERL:1963.DYNL-63-01

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Abstract

The usual treatment of linearly damped lumped parameter systems assumes that the system equations may be transformed to a symmetrical set of equations. This assumption is justified in passive systems. However, in many problems of interest to aeronautical and electrical engineers the system equations cannot be transformed to a symmetric set of equations. One case in point is the analysis of an aircraft wing under flutter conditions. That non-symmetric systems are physically realizable will be understood when one remembers that it is possible to build any non-symmetric system using an active analog computer. It is the purpose of this report to give a comprehensive analysis of lumped parameter linearly damped second order vibrating systems having symmetric or non-symmetric matrices.


Item Type:Report or Paper (Technical Report)
Group:Dynamics Laboratory
Record Number:CaltechEERL:1963.DYNL-63-01
Persistent URL:http://resolver.caltech.edu/CaltechEERL:1963.DYNL-63-01
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26463
Collection:CaltechEERL
Deposited By: Imported from CaltechEERL
Deposited On:19 Feb 2008
Last Modified:26 Dec 2012 13:58

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