Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements | Zendy

Pol D. Spanos | Zendy; Giovanni Malara | Zendy

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Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements

Author(s) -

Pol D. Spanos,

Giovanni Malara

Publication year - 2017

Publication title -

procedia engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.32

H-Index - 74

ISSN - 1877-7058

DOI - 10.1016/j.proeng.2017.09.144

Subject(s) - monte carlo method , nonlinear system , displacement (psychology) , mathematics , linearization , random vibration , boundary element method , mathematical analysis , fractional calculus , time domain , domain (mathematical analysis) , derivative (finance) , vibration , finite element method , computer science , structural engineering , physics , statistics , engineering , psychology , quantum mechanics , computer vision , financial economics , economics , psychotherapist

In this paper, two techniques are proposed for determining the large displacement statistics of random exciting continua endowed with fractional derivative elements: Boundary Element Method (BEM) based Monte Carlo simulation; and Statistical Linearization (SL). The techniques are applied to the problem of nonlinear beam and plate random response determination in the case of colored random external load. The BEM is implemented in conjunction with a Newmark scheme for estimating the system response in the time domain in conjunction with repeated simulations, while SL is used for estimating efficiently and directly, albeit iteratively, the response statistics

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