Post-buckling range of plates in axial compression with uncertain initial geometric imperfections
Applications of Mathematics (2002)
- Volume: 47, Issue: 1, page 25-44
- ISSN: 0862-7940
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topHlaváček, Ivan. "Post-buckling range of plates in axial compression with uncertain initial geometric imperfections." Applications of Mathematics 47.1 (2002): 25-44. <http://eudml.org/doc/33101>.
@article{Hlaváček2002,
abstract = {The method of reliable solutions alias the worst scenario method is applied to the problem of von Kármán equations with uncertain initial deflection. Assuming two-mode initial and total deflections and using Galerkin approximations, the analysis leads to a system of two nonlinear algebraic equations with one or two uncertain parameters-amplitudes of initial deflections. Numerical examples involve (i) minimization of lower buckling loads and (ii) maximization of the maximal mean reduced stress.},
author = {Hlaváček, Ivan},
journal = {Applications of Mathematics},
keywords = {elastic plates; Kármán equations; uncertain initial deflections; worst scenario; elastic plates; Kármán equations; worst scenario},
language = {eng},
number = {1},
pages = {25-44},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Post-buckling range of plates in axial compression with uncertain initial geometric imperfections},
url = {http://eudml.org/doc/33101},
volume = {47},
year = {2002},
}
TY - JOUR
AU - Hlaváček, Ivan
TI - Post-buckling range of plates in axial compression with uncertain initial geometric imperfections
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 1
SP - 25
EP - 44
AB - The method of reliable solutions alias the worst scenario method is applied to the problem of von Kármán equations with uncertain initial deflection. Assuming two-mode initial and total deflections and using Galerkin approximations, the analysis leads to a system of two nonlinear algebraic equations with one or two uncertain parameters-amplitudes of initial deflections. Numerical examples involve (i) minimization of lower buckling loads and (ii) maximization of the maximal mean reduced stress.
LA - eng
KW - elastic plates; Kármán equations; uncertain initial deflections; worst scenario; elastic plates; Kármán equations; worst scenario
UR - http://eudml.org/doc/33101
ER -
References
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