By Manolis Papadrakakis; et al
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The aim is to properly consider non-uniform spectral contents that happen in many real physical vibration phenomena. The main structural system is described as a single linear degree of freedom, and it is assumed that uncertainty affects the system model. The problem parameters treated are described as random uncorrelated variables known only by the estimation of their means and variances. Robustness is formulated as a multiobjective optimization problem in which both the mean and variance of a conventional objective function are minimized simultaneously.
His scientific interests include computational methods in structural and geotechnical earthquake engineering, structural optimization, probabilistic mechanics, structural assessment and the application of artificial intelligence methods in engineering. Dr. Tsompanakis has published many scientific papers and is the co-editor of several books in computational mechanics. He is involved in the organization of mini-symposia and special sessions in international conferences as well as special issues of scientific journals as guest editor.
E. with sufficient accuracy. Hence, the numerical costs involved in estimating probabilities of occurrence of rare events may be extremely high and even prohibitive, especially when a structural system is modeled using a large FE model. 4 L in e s am p l i n g As method of solution, the application of advanced simulation techniques is most instrumental. Line sampling (LS) for example serves this purpose. g. (Schuëller et al. 2004b)). The key issue in performing such transformation is to identify a so-called important direction (α), which is a unit vector pointing towards the failure region; candidates for such direction are (a) the direction of the design point vector and (b) the opposite of the direction of the gradient of the limit state function evaluated at the origin of the standard normal space.