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Random vibration and statistical linearization
J.B. Roberts,Pol D. Spanos +1 more
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TLDR
In this paper, a comprehensive account of statistical linearization with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems is given, and the principal value of these methods is that they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.Abstract:
Interest in the study of random vibration problems using the concepts of stochastic process theory has grown rapidly due to the need to design structures and machinery which can operate reliably when subjected to random loads, for example winds and earthquakes. This is the first comprehensive account of statistical linearization - powerful and versatile methods with related techniques allowing the solution of a very wide variety of practical non-linear random vibration problems. The principal value of these methods is that unlike other analytical methods, they are readily generalized to deal with complex mechanical and structural systems and complex types of excitation such as earthquakes.read more
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A novel active learning-based Gaussian process metamodelling strategy for estimating the full probability distribution in forward UQ analysis
TL;DR: In this paper, an active learning-based Gaussian process (AL-GP) metamodeling method is proposed to estimate the cumulative as well as complementary cumulative distribution function (CDF/CCDF) for forward uncertainty quantification (UQ) problems.
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Fragility analysis of nonproportionally damped inelastic MDOF structural systems exposed to stochastic seismic excitation
TL;DR: A novel methodology for conducting efficiently fragility analysis considering nonproportionally damped inelastic multi degree-of-freedom structural systems subject to stochastic seismic excitations defined by an advanced stochastics model consistent with magnitude-epicentral distance earthquake properties is developed.
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Analysis of nonlinear oscillators under stochastic excitation by the Fokker-Planck-Kolmogorov equation
A. Baratta,G. Zuccaro +1 more
TL;DR: In this article, an approximate solution of the FPK equation is obtained for a system subjected to a stochastic force term, implemented with reference to a polynomial expansion of the restoring force function.
Posted ContentDOI
Approximate stochastic response of hysteretic system with fractional element and subjected to combined stochastic and periodic excitation
TL;DR: In this paper, a method based on statistical linearization is proposed, for determining the response of single-degree-of-freedom hysteretic systems endowed with fractional derivative element and subjected to combined periodic and white/colored excitation.
Reliability Problems in Earthquake Engineering
TL;DR: In this paper, a review of the most widely used reliability methods in the field of earthquake engineering is presented, with emphasis on Monte Carlo and solver surrogate techniques used in subsequent chapters.