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Dynamic Response of Structures with Uncertain Parameters


Jensen, Hector A. (1990) Dynamic Response of Structures with Uncertain Parameters. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5970-fp02.


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:Thesis (Dissertation (Ph.D.))
Subject Keywords:Dynamic response of structures ; earthquake engineering
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.
Group:Earthquake Engineering Research Laboratory
Thesis Committee:
  • Unknown, Unknown
Defense Date:28 September 1989
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Record Number:CaltechThesis:03112014-155226390
Persistent URL:
Related URLs:
URLURL TypeDescription DocumentTechnical Report EERL 89-02 in CaltechAUTHORS
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8126
Deposited By: Kathy Johnson
Deposited On:12 Mar 2014 21:51
Last Modified:20 Aug 2021 00:03

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