Jensen, Hector A. (1989) Dynamic response of structures with uncertain parameters. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechEERL:1989.EERL-89-02
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This thesis presents a technique for obtaining the response of linear structural systems with parameter uncertainties subjected to either deterministic or random excitation. The parameter uncertainties are modeled as random variables or random fields, and are assumed to be time-independent. The new method is an extension of the deterministic finite element method to the space of random functions. First, the general formulation of the method is developed, in the case where the excitation is deterministic in time. Next, the application of this formulation to systems satisfying the one-dimensional wave equation with uncertainty in their physical properties is described. A particular physical conceptualization of this equation is chosen for study, and some engineering applications are discussed in both an earthquake ground motion and a structural context. Finally, the formulation of the new method is extended to include cases where the excitation is random in time. Application of this formulation to the random response of a primary-secondary system is described. It is found that parameter uncertainties can have a strong effect on the system response characteristics.
|Item Type:||Report or Paper (Technical Report)|
|Additional Information:||PhD, 1990: PB-91-154195|
|Group:||Earthquake Engineering Research Laboratory|
|Usage Policy:||You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.|
|Deposited By:||Imported from CaltechEERL|
|Deposited On:||15 Oct 2001|
|Last Modified:||11 Mar 2014 23:06|
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