Mid-frequency structural dynamics with parameter uncertainty

By Abhijit Sarkar, Roger G. Ghanem. 2001

137 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f30ceab0a80dd24827db96ae63f5f7366f67f3c9

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In Civil and Structural Engineering

In Statistics and Probability

Citations in the corpus

Weighted stochastic response surface method considering sample weights (2011, methodology): “polynomials based PCE model, developed by Ghanem and Spanos (1991), successfully expands the application of PCE to various fields, from finite deforming problem (Acharjee and Zabaras 2006, 2007) environment and acoustics problems (Finette 2006), stochastic differential equations (Xiu and Karniadakis”
Sparse grid collocation schemes for stochastic natural convection problems (2007, background): “Ghanem and co-workers subsequently applied it to transport in random media [8], structural dynamics applications [9] and heat conduction problems [10].”
Dynamically orthogonal field equations for continuous stochastic dynamical systems (2009, methodology): “The method has been applied to a series of applications including fluid mechanics [45–49], structural mechanics [41,50,51], and wave propagation in random media [52].”
Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations (2015, methodology): “PCEs have been previously used in UP studies in a variety of fields, such as structural dynamics (Sarkar and Ghanem, 2002), heat conduction (Xiu and Karniadakis, 2003b), air pollution dispersion (Konda et al., 2010) and fluid dynamics problems (Knioa and Le Maître, 2006).”
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”
Model order reduction based on proper generalized decomposition for the propagation of uncertainties in structural dynamics (2012, unknown): “For the mid-frequencies, adapted frequency-domain model reduction techniques have been developed (see e.g. [30]).”