NEHRP Clearinghouse
- Title
- Dynamic Response of Structures with Uncertain Parameters.
- File
- PB91154187.pdf
- Author(s)
- Jensen, H. A.
- Source
- National Science Foundation, Washington, DC., cJanuary 1989, 179 p.
- Identifying Number(s)
- EERL-89-02
- Abstract
- The 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 the formulation to system satisfying the one-dimensional wave equation with uncertainty in their physical properties is described. A particular physical conceptualization of the equation is chosen for study, and some engineering application 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 excitationis random in time. Application of the 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. (Copyright (c) Hector Jensen 1990.)
- Keywords
- Wave equations; Finite element analysis; Covariance matrices; Earthquake engineering; Ground motion; Buildings; Theses; Excitation; Soil-structure interactions; Linear systems; Uncertainty; Dynamic structural analysis