Buckling analysis of cylindrical shells with random geometric imperfections

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The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview (2005, background): “The POD now enjoys various applications in structural dynamics such as active control [28], aeroelastic problems [29, 30], damage detection [31–33], dynamic characterization [34–41], finite element model updating [42, 43], modal analysis [44, 45], multibody systems [46], model order reduction [47–52”
Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007, methodology): “There exist also some cases where the K–L expansion has been implemented in the framework of MCS [25,35].”
The stochastic finite element method: Past, present and future (2009, background): “To the author’s knowledge, there are very few publications in the literature where use is made of two really independent meshes in conjunction with a general mapping procedure of the random field realization onto the finite element mesh [20,157].”
Computational stochastic statics of an uncertain curved structure with geometrical nonlinearity in three-dimensional elasticity (2012, methodology): “The parametric probabilistic approach is particularly adapted to take into account system-parameter uncertainties as shown in [14,15] i n the context of post-buckling of cylindrical shells.”