Name
Abstract | ||
|---|---|---|
Practical structural engineering problems often exhibit a significant degree of uncertainty in the material properties being used, the dimensions of the modeled structures, etc. In this paper, we consider a cantilever beam and a beam clamped at both ends, both subjected to a static and a dynamic load. The material uncertainty resides in the Youngu0027s modulus, which is modeled by means of one random variable, sampled from a univariate Gamma distribution, or with multiple random variables, sampled from a Gamma random field. Three different responses are considered: the static elastic, the dynamic elastic and the static elastoplastic response. In the first two cases, we simulate the spatial displacement of a concrete beam and its frequency response in the elastic domain. The third case simulates the spatial displacement of a steel beam in the elastoplastic domain. In order to compute the statistical quantities of the static deflection and frequency response function, Multilevel Monte Carlo (MLMC) is combined with a Finite Element solver. In this paper, the computational costs and run times of the MLMC method are compared with those of the classical Monte Carlo method, demonstrating a significant speedup of up to several orders of magnitude for the studied cases. |
Year | Venue | Field |
|---|---|---|
2018 | arXiv: Computational Engineering, Finance, and Science | Deflection (engineering),Monte Carlo method,Random variable,Random field,Uncertainty quantification,Dynamic load testing,Beam (structure),Gamma distribution,Mathematics,Structural engineering |
DocType | Volume | Citations |
Journal | abs/1808.10680 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Philippe Blondeel | 1 | 0 | 0.68 |
| Pieterjan Robbe | 2 | 0 | 0.68 |
| Cédric van hoorickx | 3 | 0 | 0.34 |
| Geert Lombaert | 4 | 0 | 0.68 |
| Stefan Vandewalle | 5 | 501 | 62.63 |