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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
Integration algorithm for covariance nonstationary dynamic analysis using equivalent stochastic linearization
TL;DR: A procedure to solve covariance analysis of stochastic linearized systems in the case of nonstationary excitation is proposed using a predictor-corrector procedure based on backward Euler method.
Journal ArticleDOI
Nonlinear dynamics of a floating offshore wind turbine platform via statistical quadratization — Mooring, wave and current interaction
TL;DR: In this article, the first and second-order responses of a floating offshore wind turbine platform due to forces from a catenary mooring system and wave-current coupled interaction were investigated.
Journal ArticleDOI
An original approximate method for estimating the invariant probability distribution of a large class of multi-dimensional nonlinear stochastic oscillators
H. Mosbah,M. Fogli +1 more
TL;DR: In this article, an original method for obtaining analytical approximations of the invariant probability density function of multi-dimensional Hamiltonian dissipative dynamic systems under Gaussian white noise excitations, with linear non-conservative parts and nonlinear conservative parts, was proposed.
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Efficient determination of nonlinear response of an array of Oscillating Water Column energy harvesters exposed to random sea waves
Giovanni Malara,Pol D. Spanos +1 more
TL;DR: In this article, an approximate solution scheme based on the concept of statistical linearization is developed for estimating the response of an array of Oscillating Water Columns (OWCs) installed in a vertical breakwater and exposed to the action of random waves.
Journal ArticleDOI
Efficient calculation of the response statistics of two-dimensional fractional diffusive systems
TL;DR: In this article, a statistical linearization based approach is proposed to calculate the response statistics of fractional nonlinear diffusion processes, which is based on a representation of the fractional Laplacian in conjunction with a mode expansion.