Journal ArticleDOI
Design-point excitation for non-linear random vibrations
TLDR
In this article, it was shown that the design-point excitation is identical to the excitation that generates the mirror image of the free-vibration response when the oscillator is released from a target threshold.About:
This article is published in Probabilistic Engineering Mechanics.The article was published on 2005-04-01. It has received 104 citations till now. The article focuses on the topics: Random vibration & Iterative method.read more
Citations
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Journal ArticleDOI
A survey on approaches for reliability-based optimization
TL;DR: This contribution provides a survey on approaches for performing Reliability-based Optimization, with emphasis on the theoretical foundations and the main assumptions involved.
Journal ArticleDOI
Application of line sampling simulation method to reliability benchmark problems
TL;DR: In this paper, a line sampling procedure was developed for estimating the reliability of static and dynamical systems with random properties, and the efficiency and accuracy of the method was shown by application to the subset of the entire spectrum of the posed benchmark problems.
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Analytical derivation of the outcrossing rate in time-variant reliability problems
TL;DR: In this paper, the PHI2 method is applied to evaluate the reliability of a corroded steel beam submitted to a midspan random load, for which an analytical expression of the associated outcrossing rate exists.
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Geometric insight into the challenges of solving high-dimensional reliability problems
TL;DR: It is shown that for the general high-dimensional nonlinear reliability problems the selection of an appropriate fixed IS density is practically impossible.
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Tail equivalent linearization method for nonlinear random vibration
TL;DR: The Tail-Equivalent Linearization Method (TELM) as discussed by the authors is a non-parametric linearization method for nonlinear random vibration analysis, which employs a discrete representation of the stochastic excitation and concepts from the first-order reliability method, FORM.
References
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Dynamics of structures
Ray W. Clough,Joseph Penzien +1 more
TL;DR: In this article, a single-degree-of-freedom (SDF) dynamic system is considered, and the effect of different degrees of freedom on the dynamics of the system is investigated.
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Method for Random Vibration of Hysteretic Systems
TL;DR: In this paper, a new method of modeling and solution of a large class of hysteretic systems (softening or hardening, narrow or wideband) under random excitation is proposed.
Journal ArticleDOI
Optimization algorithms for structural reliability
TL;DR: In this paper, several optimization algorithms are evaluated for application in structural reliability, where the minimum distance from the origin to the limit-state surface in the standard normal space is required, and the objective is to determine the suitability of the algorithms for application to linear and nonlinear finite element reliability problems.