Reliability of Randomly Excited Hysteretic Structures

A. GENERAL REMARKS During the last century, probabilistic methods for design and analysis of engineering systems have assumed a prominent place as an engineering tool. No longer do engineers naively believe that all problems can be analyzed with deterministic methods; but rather, it has been recogni...

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Bibliographic Details
Main Author: Spencer, B.F.Jr
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1986, 1986
Edition:1st ed. 1986
Series:Lecture Notes in Engineering
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Introduction
  • A. General Remarks
  • B. Literature Review
  • C. Objective and Scope
  • II. Problem Definition and Formulation
  • A. The Modified-Bouc Hysteresis Model
  • B. Formulation of the First Passage Problem
  • III. Numerical Solution of the First Passage Problem
  • A. A Petrov-Galerkin Finite Element Method for Three-Dimensional Convection-Diffusion Problems
  • B. Solution of the Generalized Pontriagin-Vitt Equation for the Ordinary Moments of Time to First Passage
  • C. Solution of the Initial-Boundary Value Problem for Oscillator Reliability
  • IV. Validation of Results
  • A. Demonstration of the Consistency Between the Steady State and Transient First Passage Formulations
  • B. Monte Carlo Simulation of the Failure Process
  • C. Comparison of the Finite Element Results with the Simulation
  • V. Estimating Oscillator Reliability Using Ordinary Moments
  • A. The Maximum Entropy Distributions
  • B. Estimating Reliability of the Hysteretic Oscillator
  • VI. Conclusions and Recommendations
  • I. Derivative Moments
  • II. Derivation of the Finite Element Matrices
  • III. Derivation of Spectral Density for a Rectangular Pulse Excitation
  • IV. Maximum Entropy Distribution Algorithm
  • Appendices
  • References