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Stationary random response of multidegree-of-freedom systems

Yang, I-Min (1970) Stationary random response of multidegree-of-freedom systems. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechEERL:1970.DYNL-100

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Abstract

An approximate approach is presented for determining the stationary random response of a general multidegree-of-freedom nonlinear system under stationary Gaussian excitation. This approach relies on defining an equivalent linear system for the nonlinear system. Two particular systems which possess exact solutions have been solved by this approach, and it is concluded that this approach can generate reasonable solutions even for systems with fairly large nonlinearities. The approximate approach has also been applied to two examples for which no exact or approximate solutions were previously available. Also presented is a matrix algebra approach for determining the stationary random response of a general multidegree-of-freedom linear system. Its derivation involves only matrix algebra and some properties of the instantaneous correlation matrices of a stationary process. It is therefore very direct and straightforward. The application of this matrix algebra approach is in general simpler than that of commonly used approaches.


Item Type:Report or Paper (Technical Report)
Additional Information:PhD, 1970
Group:Dynamics Laboratory
Record Number:CaltechEERL:1970.DYNL-100
Persistent URL:http://resolver.caltech.edu/CaltechEERL:1970.DYNL-100
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:26447
Collection:CaltechEERL
Deposited By: Imported from CaltechEERL
Deposited On:03 May 2002
Last Modified:26 Dec 2012 13:58

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