Journal ArticleDOI
Response of linear systems to quadratic gaussian excitations
Reads0
Chats0
TLDR
The proposed methodology is applied to estimate structural response to wind loads and the mean failure rate of systems subjected to bivariate Gaussian stress processes.Abstract:
Probability density functions, mean crossing rates, and other descriptors are developed for the response of linear systems to squares of Gaussian excitations. The analysis is based on discrete approximations of the spectrum of the Gaussian excitation. Accordingly, the response can be expressed as a finite quadratic form in Gaussian variables, whose characteristic function has a closed form. The characteristic function can be inverted by Fast Fourier Transform algorithms to find the first order probability of the response. Several approximations are applied to determine crossing and peak characteristics of the response. The proposed methodology is applied to estimate structural response to wind loads and the mean failure rate of systems subjected to bivariate Gaussian stress processes.read more
Citations
More filters
Journal ArticleDOI
On the cumulant-neglect closure method in stochastic dynamics
TL;DR: In this paper, an algorithm was developed and presented for the efficient and automated generation of the moment equations for dynamical systems with an arbitrary number of states and closed at an arbitrary level (limited only by available computational resources).
Journal ArticleDOI
Emerging issues and new frameworks for wind loading on structures in mixed climates
TL;DR: In this paper, a general discussion on some emerging issues and new frameworks for wind loading on structures in mixed climates is provided, including the use of the response spectrum technique, not only as a potentially efficient tool for calculating the structural response to thunderstorms, but also as a mean for revisiting the whole wind-excited response in a more general and comprehensive framework.
Journal ArticleDOI
Modeling and analysis of quadratic term in the wind effects on structures
TL;DR: In this paper, the contribution of the quadratic drag term containing the square of the fluctuating velocity component has been considered in analyses of wind-excited structures, and a technique to model the contributions of this term to the system response extremes is presented.
Journal ArticleDOI
Crossing rate statistics of quadratic transformations of Gaussian processes
TL;DR: In this paper, the authors developed a numerical procedure for calculating the average crossing rates of a stochastic process that can be expressed as a sum of a linear and a nonlinear, quadratic transformation of a Gaussian process.
Journal ArticleDOI
Non-Gaussian along-wind response analysis in time and frequency domains
TL;DR: In this paper, the power spectral density of the wind force was used to estimate the peak value distribution of a steel lattice broadcasting antenna, and the comparison with suited time domain analyses of the response allowed to evaluate the reliability of the spectral methods.
References
More filters
Book
Continuous univariate distributions
TL;DR: Continuous Distributions (General) Normal Distributions Lognormal Distributions Inverse Gaussian (Wald) Distributions Cauchy Distribution Gamma Distributions Chi-Square Distributions Including Chi and Rayleigh Exponential Distributions Pareto Distributions Weibull Distributions Abbreviations Indexes
Journal ArticleDOI
Mathematical analysis of random noise
TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.
Book
An introduction to the theory of random signals and noise
TL;DR: The aim of this book is to clarify the role of noise in the development of linear and nonlinear systems and to provide a procedure forormalising the noise generated by these systems.
Journal ArticleDOI