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Stationary Random Response of Multidegree-of-Freedom Systems


Yang, I-Min (1970) Stationary Random Response of Multidegree-of-Freedom Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ZX37-5J02.


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 matricies 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:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Applied Mechanics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Iwan, Wilfred D.
Thesis Committee:
  • Unknown, Unknown
Defense Date:10 March 1970
Additional Information:Author's name transliterated to Yimin Yang in Pinyin.
Funding AgencyGrant Number
Garret-AiResearch CompanyUNSPECIFIED
Francis J. Cole Memorial FoundationUNSPECIFIED
Record Number:CaltechTHESIS:09012015-113504472
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9130
Deposited On:03 Sep 2015 21:07
Last Modified:22 May 2024 21:41

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