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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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1986, 1986
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| Edition: | 1st ed. 1986 |
| Series: | Lecture Notes in Engineering
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| Subjects: | |
| 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