TY - JOUR
T1 - Multiparametric shell eigenvalue problems
AU - Laaksonen, Mikael
AU - Hakula, Harri
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The eigenproblem for thin shells of revolution under uncertainty in material parameters is discussed. Here the focus is on the smallest eigenpairs. Shells of revolution have natural eigenclusters due to symmetries, moreover, the eigenpairs depend on a deterministic parameter, the dimensionless thickness. The stochastic subspace iteration algorithms presented here are capable of resolving the smallest eigenclusters. In the case of random material parameters, it is possible that the eigenmodes cross in the stochastic parameter space. This interesting phenomenon is demonstrated via numerical experiments. Finally, the effect of the chosen material model on the asymptotics in relation to the deterministic parameter is shown to be negligible.
AB - The eigenproblem for thin shells of revolution under uncertainty in material parameters is discussed. Here the focus is on the smallest eigenpairs. Shells of revolution have natural eigenclusters due to symmetries, moreover, the eigenpairs depend on a deterministic parameter, the dimensionless thickness. The stochastic subspace iteration algorithms presented here are capable of resolving the smallest eigenclusters. In the case of random material parameters, it is possible that the eigenmodes cross in the stochastic parameter space. This interesting phenomenon is demonstrated via numerical experiments. Finally, the effect of the chosen material model on the asymptotics in relation to the deterministic parameter is shown to be negligible.
KW - Shells of revolution
KW - Eigenvalue problems
KW - Uncertainty quantification
KW - Stochastic finite element methods
UR - http://www.scopus.com/inward/record.url?scp=85054004450&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2018.09.011
DO - 10.1016/j.cma.2018.09.011
M3 - Article
VL - 343
SP - 721
EP - 745
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -