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Effect of uncertain parameters on the deflection of beams
Author(s) -
Reppel Thomas,
Korzeniowski Tim Fabian,
Weinberg Kerstin
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900318
Subject(s) - cantilever , deflection (physics) , monte carlo method , bernoulli's principle , beam (structure) , random variable , mathematics , physics , structural engineering , statistical physics , classical mechanics , engineering , statistics , thermodynamics
In the classical Euler‐Bernoulli cantilever beam theory the deflection w depends on different parameters. On the one hand we have material and geometric parameters, like the Young's Modulus E , the second moment of area I and the length of the beam L . On the other hand there are different loading types like point loads F , distributed loads, or varying loads. All these parameters are usually modeled in a deterministic way. In this contribution we analyze the distribution of the maximum beam deflection of a cantilever beam w max depending on uncertain parameters. To this end we model the input parameters as random variables ( X F , X L , X E ) or different random fields ( E i ). For the random fields Monte‐Carlo simulations are used to calculate the resulting distribution.