Titlebook: Reliability-based Structural Design; Seung-Kyum Choi,Robert A. Canfield,Ramana V. Grand Book 2007 Springer-Verlag London 2007 Chaos.Fundam

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Stochastic Expansion for Probabilistic Analysis,rgence properties. This chapter discusses two stochastic expansions that are used to represent random processes: the PCE and the KL expansion. Basic properties of PCE and the KL transform are illustrated with simple problems. In addition, a new stochastic approximation procedure is presented that us

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Probabilistic Analysis Examples via Stochastic Expansion,ut of random fields. The technique is applied to both basic problems and practical engineering problems. Geometrically nonlinear structural models of a joined-wing aircraft and a supercavitating torpedo are considered to demonstrate the efficiency and applicability of the procedure. In addition, the

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Probabilistic Analysis,derlying Monte Carlo simulation and Latin Hypercube sampling are demonstrated, with intuitive illustrations of simple problems. A brief introduction of the stochastic finite element method, including the perturbation method, the Neumann expansion method, and the weighted integral method, is also presented.

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Stochastic Expansion for Probabilistic Analysis,roperties of PCE and the KL transform are illustrated with simple problems. In addition, a new stochastic approximation procedure is presented that uses PCE and the KL transform. In the latter part of the chapter, the roles of both expansions in the spectral stochastic finite element method are also discussed.

鄙视读作

Probabilistic Analysis Examples via Stochastic Expansion,a joined-wing aircraft and a supercavitating torpedo are considered to demonstrate the efficiency and applicability of the procedure. In addition, the stochastic simulation procedure is incorporated into stochastic optimization problems. Implementation of the method is demonstrated for a three-bar truss structure and a joined-wing aircraft.

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Reliability-based Structural Optimization,istance from the origin to the limit-state boundary in a standard normal space. This optimization loop provides just the β value. At a higher level, the design engineer would like to modify the geometries, shapes, sizes, material properties, and topology to reduce the failure probability for the critical limit states.

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Book 2007alysis of practical engineering problems is also examined throught the use of examples of practical engineering applications...This book will be of value to graduates and post graduates studying in this field as well as engineers, researchers, and technical managers. .

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