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Stochastic Response of Beams Equipped with Tuned Mass Dampers Subjected to Poissonian Loads

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Authors
Dunn, Iain; Di Matteo, Alberto; Failla, Giuseppe; Pirrotta, Antonina; Russillo, Andrea Francesco
Issue Date
2019-05-26
Citation
13th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP13), Seoul, South Korea, May 26-30, 2019
Abstract
This contribution deals with the vibrational response of Euler-Bernoulli beams equipped with tuned mass dampers, subjected to random moving loads. The theory of generalised functions is used to capture the discontinuities of the response variables at the positions of the tuned mass dampers, which involves deriving exact complex eigenvalues and eigenfunctions from a characteristic equation built as the determinant of a 4 x 4 matrix, regardless of the number of tuned mass dampers. Building pertinent orthogonality conditions for the deflection eigenfunctions, the stochastic responses, under Poissonian white noise, are evaluated. In a numerical application, a beam with multiple tuned mass dampers, acted upon by random moving loads, is considered
Language
English
URI
https://hdl.handle.net/10371/153311
DOI
https://doi.org/10.22725/ICASP13.098
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Civil & Environmental Engineering (건설환경공학부)ICASP13
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