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ORIGINAL PAPER
Computer Analysis of Dynamic Reliability of Some Concrete Beam Structure Exhibiting Random Damping
1
Department of Structural Mechanics, Łódź University of Technology, Al. Politechniki 6, 90-924, Łódź, Poland
Online publication date: 2021-01-29
Publication date: 2021-03-01
International Journal of Applied Mechanics and Engineering 2021;26(1):45-64
KEYWORDS
reliability analysisStochastic Finite Element Methodgeneralized stochastic perturbation techniqueforced vibrationsRunge-Kutta-Fehlberg method
ABSTRACT
An efficiency of the generalized tenth order stochastic perturbation technique in determination of the basic probabilistic characteristics of up to the fourth order of dynamic response of Euler-Bernoulli beams with Gaussian uncertain damping is verified in this work. This is done on civil engineering application of a two-bay reinforced concrete beam using the Stochastic Finite Element Method implementation and its contrast with traditional Monte-Carlo simulation based Finite Element Method study and also with the semi-analytical probabilistic approach. The special purpose numerical implementation of the entire Stochastic perturbation-based Finite Element Method has been entirely programmed in computer algebra system MAPLE 2019 using Runge-Kutta-Fehlberg method. Further usage of the proposed technique to analyze stochastic reliability of the given structure subjected to dynamic oscillatory excitation is also included and discussed here because of a complete lack of the additional detailed demands in the current European designing codes.
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