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A Spectral Formulation of Stochastic Finite Elements
1997Until recently, stochastic structural mechanics has addressed the issue of deterministic structures subjected to random loading. With the availability of more accurate analysis and design tools, however, quantifying the sensitivity of model predictions to uncertainty in the mechanical properties of structures has become possible.
R. G. Ghanem, P. D. Spanos
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A comparison of stochastic and interval finite elements
2003Abstract In this chapter, structural uncertainties are modeled by using both the stochastic and interval methods to quantify the uncertainties in the response quantities. Through a suitable discretization, stochastic and interval FEMs are constructed.
Isaac Elishakoff, Yongjian Ren
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Nonlinear Stochastic Finite Element Method
2022Considering the influence of random factors on the structure, three stochastic finite element methods for general nonlinear problems are proposed. They are Taylor expansion method, perturbation method and Neumann expansion method. The mean value of displacement is obtained by the tangent stiffness method or the initial stress method of nonlinear ...
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Recent Developments in Stochastic Finite Elements
1992Several recent developments in the stochastic finite element method are reviewed. Topics addressed include: the modeling and discretization of random fields, the weighted integral approach, computation of response gradients, and reliability analysis of components and systems by the first and second-order reliability methods (FORM and SORM).
A. Der Kiureghian, C.-C. Li, Y. Zhang
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Stochastic finite elements and experimental measurements
Probabilistic Engineering Mechanics, 1994Abstract Basic concepts and methods of random field theory, needed to characterize “distributed disordered systems”, are reviewed, extended and applied. Linking stochastic finite element analysis to experimental measurements enables updating of response and performance predictions and optimizing data acquisition. The case studies involve analysis and
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Stochastic finite element method based on point estimate and Karhunen–Loéve expansion
Archive of Applied Mechanics, 2021Ping Xiang, Ping Xiang, Li-zhong Jiang
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Structural stochastic responses determination via a sample-based stochastic finite element method
Computer Methods in Applied Mechanics and Engineering, 2021Zhibao Zheng, Hongzhe Dai
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