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. Technical Report: CaltechEERL:1963.DYNL-63-01. California Institute of Technology.

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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.

EPrint Type:	Monograph (Technical Report)
Subjects:	All Records > Dynamics Laboratory
ID Code:	263
Deposited By:	Jim O'Donnell
Deposited On:	19 February 2008
Record Number:	CaltechEERL:1963.DYNL-63-01
Official Persistent URL:	http://resolver.caltech.edu/CaltechEERL:1963.DYNL-63-01
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