TY - JOUR
T1 - Comparison of Eigenmode-Based and random field-based imperfection modeling for the stochastic buckling analysis of I-Section Beam-Columns
AU - Stavrev, A.
AU - Stefanov, D.
AU - Schillinger, D.
AU - Rank, E.
PY - 2013/3/1
Y1 - 2013/3/1
N2 - The uncertainty of geometric imperfections in a series of nominally equal I-beams leads to a variability of corresponding buckling loads. Its analysis requires a stochastic imperfection model, which can be derived either by the simple variation of the critical eigenmode with a scalar random variable, or with the help of the more advanced theory of random fields. The present paper first provides a concise review of the two different modeling approaches, covering theoretical background, assumptions and calibration, and illustrates their integration into commercial finite element software to conduct stochastic buckling analyses with the Monte-Carlo method. The stochastic buckling behavior of an example beam is then simulated with both stochastic models, calibrated from corresponding imperfection measurements. The simulation results show that for different load cases, the response statistics of the buckling load obtained with the eigenmode-based and the random field-based models agree very well. A comparison of our simulation results with corresponding Eurocode 3 limit loads indicates that the design standard is very conservative for compression dominated load cases.
AB - The uncertainty of geometric imperfections in a series of nominally equal I-beams leads to a variability of corresponding buckling loads. Its analysis requires a stochastic imperfection model, which can be derived either by the simple variation of the critical eigenmode with a scalar random variable, or with the help of the more advanced theory of random fields. The present paper first provides a concise review of the two different modeling approaches, covering theoretical background, assumptions and calibration, and illustrates their integration into commercial finite element software to conduct stochastic buckling analyses with the Monte-Carlo method. The stochastic buckling behavior of an example beam is then simulated with both stochastic models, calibrated from corresponding imperfection measurements. The simulation results show that for different load cases, the response statistics of the buckling load obtained with the eigenmode-based and the random field-based models agree very well. A comparison of our simulation results with corresponding Eurocode 3 limit loads indicates that the design standard is very conservative for compression dominated load cases.
KW - Finite element analysis
KW - I-section beam-columns
KW - Random field-based imperfection modeling
KW - eigenmode-based imperfection modeling
KW - stochastic buckling analysis
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U2 - 10.1142/S0219455413500211
DO - 10.1142/S0219455413500211
M3 - Article
AN - SCOPUS:84876224313
VL - 13
JO - SPE Western Regional/AAPG Pacific Section Joint Meeting
JF - SPE Western Regional/AAPG Pacific Section Joint Meeting
SN - 0219-4554
IS - 2
M1 - 1350021
ER -