Time-domain response of damped stochastic multiple-degree-of-freedom systems

Jacquelin, E., Brizard, D., Adhikari, S. and Friswell, M.I. (2020) Time-domain response of damped stochastic multiple-degree-of-freedom systems. Journal of Engineering Mechanics, 146(1), 06019005. (doi: 10.1061/(ASCE)EM.1943-7889.0001705)

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Abstract

Characterizing the time-domain response of a random multiple-degree-of-freedom dynamical system is challenging and often requires Monte Carlo simulation (MCS). Differential equations must therefore be solved for each sample, which is time-consuming. This is why polynomial chaos expansion (PCE) has been proposed as an alternative to MCS. However, it turns out that PCE is not adapted to simulate a random dynamical system for long-time integration. Recent studies have shown similar issues for the frequency response function of a random linear system around the deterministic eigenfrequencies. A Padé approximant approach has been successfully applied; similar interesting results were also observed with a random mode approach. Therefore, the latter two methods were applied to a random linear dynamical system excited by a dynamic load to estimate the first two statistical moments and probability density function at a given instant of time. Whereas the random modes method has been very efficient and accurate to evaluate the statistics of the response, the Padé approximant approach has given very poor results when the coefficients were determined in the time domain. However, if the differential equations were solved in the frequency domain, the Padé approximants, which were also calculated in the frequency domain, provided results in excellent agreement with the MCS results.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Adhikari, Professor Sondipon
Authors: Jacquelin, E., Brizard, D., Adhikari, S., and Friswell, M.I.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Journal of Engineering Mechanics
Publisher:American Society of Civil Engineers
ISSN:0733-9399
ISSN (Online):1943-7889
Published Online:14 November 2019
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