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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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Journal ArticleDOI
A new equivalent nonlinearization method for random vibrations of nonlinear systems
Plenary lecture III: the effect of structural degradation on the dynamic behaviour of buildings
TL;DR: In this paper, an analysis of buildings behavior during strong earthquakes, considering the modifications of the structural dynamic characteristics due to strong earthquake generated damages, is presented, where the authors focus on the difference in a building behavior, function of the mode the structure is situated relative to the seismic ground motion from the spectral point of view.
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PDEM-Based Response Analysis of Nonlinear Systems with Double Uncertainties
TL;DR: The probability density evolution method is adopted and extended to reduce the dimension of parametric FPK equation of an uncertain-parameter structure subjected to additively white noise process.
Journal ArticleDOI
Resonance characteristics of stochastic dual Duffing oscillators with coupled APHC
TL;DR: In this article, the resonance manifestation of a stochastically driven system consisting of dual Duffing oscillators with coupled active-passive hybrid control (APHC) is analyzed in both deterministic and stochastic modes.
Posted Content
Statistical linearizations for stochastically quantized fields
TL;DR: The statistical linearization method known in nonlinear mechanics and random vibrations theory has been applied to stochastically quantized fields in finite temperature and has been shown that even in its simplest form the method yields convenient implicit equations for the self-energy, equivalent to the Dyson-Schwinger equations resulting from the summation of infinite number of perturbative diagrams as discussed by the authors.