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Finite Element Method for Stochastic Beams Based on Variational Principles
Journal of Applied Mechanics, 1997This paper proposes a new version (fundamentally different from the existing ones) of finite element method for the mean and covariance functions of the displacement for bending beams with spatially random stiffness. Apart from the conventional finite element method for stochastic problems, which utilizes either perturbation or series expansion ...
Ren, Y.-J. +2 more
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Stochastic seismic response of Keban dam by the finite element method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Akköse +3 more
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Stochastic Finite Element Method: Response Statistics
1991An important objective of a stochastic finite element analysis of an engineering system should be the determination of a set of design criteria which can be implemented in a probabilistic context. In other words, it is important that any method that is used for the numerical treatment of stochastic systems be compatible with some rationale that permits
Roger G. Ghanem, Pol D. Spanos
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Simulation of Fault Rupture Process by the Stochastic Finite Element Method
Probabilistic Engineering Mechanics, 1987It has been showed that the finite element method which utilizes the joint element for representing the fault plane is a promising tool to analyze the fault rupture process and to predict the near field ground motion. In such analyses, however, the spatial distribution of stress and strength along the fault must be known and has been assumed to be ...
Kenzo Toki +2 more
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1988
For structural analyses with uncertainties, stochastic finite element method (SFEM) has been developed by Nakagiri, etc.[1] Based on a perturbation method, derivatives by probabilistic variables, means and dispersions of responces can be obtained. In this paper, the application of SFEM to a heat transfer problem with radiative boundary conditions is ...
H. Noguchi +3 more
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For structural analyses with uncertainties, stochastic finite element method (SFEM) has been developed by Nakagiri, etc.[1] Based on a perturbation method, derivatives by probabilistic variables, means and dispersions of responces can be obtained. In this paper, the application of SFEM to a heat transfer problem with radiative boundary conditions is ...
H. Noguchi +3 more
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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
exaly
Stochastic finite element method based on point estimate and Karhunen–Loéve expansion
Archive of Applied Mechanics, 2021Xiang Liu, Lizhong Jiang, Ping Xiang
exaly