Abstract
This paper aims to obtain a method capable of generating a random signal that has a specific Power Density Function and a predefined Power Density Function. Modeling these signals is essential for civil engineering purposes. Indeed, it is indispensable when we consider, for example, the reliability and the ergonomics of bridges and offshore platforms that are subjected to wind.
Highlights
There is a great deal of mechanical problems that can be associated to the vibratory response of mechanical systems under random solicitations
We were able to generate a random signal with desired Power Spectral Density and Laplace Probability Distribution using the Autoregressive Random Coefficients (ARRC) method
We analyzed two different methods that are able to generate a Gaussian signal with predefined Power Spectral Density: the Random Spectral Phase [1] and the Source-Filter
Summary
There is a great deal of mechanical problems that can be associated to the vibratory response of mechanical systems under random solicitations. Many of these solicitations have a non-Gaussian distribution. The models we possess nowadays end generating signals that end up following a Gaussian distribution. The model does not perfectly match the reality, what causes the construction of overpriced structures such as the Olympic stadium in São Paulo.
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