Stochastic dynamic analysis of fractional viscoelastic systems

Risultato della ricerca: Otherpeer review

Abstract

A method is presented to compute the non-stationary response of single-degree-of-freedom structural systemswith fractional damping. Based on an appropriate change of variable and a discretization of the fractional derivative operator,the equation of motion is reverted to a set of coupled linear equations involving additional half oscillators, the number of whichdepends on the discretization of the fractional derivative operator. In this context, it is shown that such a set of oscillators can begiven a proper fractal representation, with a Mandelbrot dimension depending on the fractional derivative order a. It is then seenthat the response second-order statistics of the derived set of coupled linear equations can be built, in a closed form, forstochastic inputs of relevant interest in engineering practice. For this a preliminary eigenvector expansion shall be pursued. Themethod applies for fractional damping of arbitrary order a (0£ a £1). Results are compared to Monte Carlo simulation dataobtained based on a standard discretization of the Caputo’s fractional derivative.
Lingua originaleEnglish
Numero di pagine7
Stato di pubblicazionePublished - 2011

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Computer Networks and Communications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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