Probabilistic Analysis of Nonlinear Structures Subjected to Transient Loads. Part 1

摘要

A technique for the analysis of reliability in linear and nonlinear systems that can be modeled as single-degree-of-freedom (SDF) structures is investigated and established. Transition probabilities are established using conditional probability and problems for stationary and nonstationary input are shown. Methods for computational enhancements are investigated. Multiple point failure analysis of multiple-degree-of-freedom (MDF) systems is addressed separately. Peak responses are expanded in a series involving the input and systems parameters and moments of the peak response are determined. Margins of survival are established using random failure levels and the probability of survival is computed. A second method using the equations of a numerical technique to form the joint probability density of the response measures is also presented. (Author)