Journal ArticleDOI
Equivalent linearization and Monte Carlo simulation in stochastic dynamics
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TLDR
In this article, the authors review the development and the state-of-the-art of EQL and MCS in stochastic structural dynamics and present the most important techniques in analyzing large nonlinear structural systems under random excitation.About:
This article is published in Probabilistic Engineering Mechanics.The article was published on 2003-01-01. It has received 133 citations till now. The article focuses on the topics: Monte Carlo method & Dynamic Monte Carlo method.read more
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Lifetime fatigue reliability evaluation of short to medium span bridges under site-specific stochastic truck loading
TL;DR: In this article, a computational framework for probabilistic modeling of the fatigue damage accumulation of short to medium span bridges under actual traffic loading was presented, where stochastic truck-load models were simulated based on site-specific weigh-in-motion measurements.
Journal ArticleDOI
An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators
TL;DR: In this paper, an approximate analytical technique for determining the non-stationary response probability density function (PDF) of a class of randomly excited nonlinear oscillators is developed, combining the concepts of statistical linearization and of stochastic averaging the evolution of the response amplitude of oscillators with nonlinear damping.
Journal ArticleDOI
Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems
Arvid Naess,Oleg Gaidai +1 more
TL;DR: In this article, the authors developed an efficient simulation-based method for estimating the extreme response distribution function by exploiting the regularity of the tail behavior of the mean level upcrossing rate function.
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Monte Carlo Principles and Neutron Transport Problems
TL;DR: In this paper, Monte Carlo principles and Neutron Transport Problems are used to solve transport problems in nuclear power plants, and the Monte Carlo principle is applied to the transport of neutrons.
References
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Book
Finite Element Procedures
TL;DR: The Finite Element Method as mentioned in this paper is a method for linear analysis in solid and structural mechanics, and it has been used in many applications, such as heat transfer, field problems, and Incompressible Fluid Flows.
Book
Stochastic Finite Elements: A Spectral Approach
Roger Ghanem,Pol D. Spanos +1 more
TL;DR: In this article, a representation of stochastic processes and response statistics are represented by finite element method and response representation, respectively, and numerical examples are provided for each of them.
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.
Book
Linear Optimal Control Systems
Huibert Kwakernaak,Raphael Sivan +1 more
TL;DR: In this article, the authors provide an excellent introduction to feedback control system design, including a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems.