Shells with random geometric imperfections simulation — based approach

Bielewicz, E.; Górski, Jarosław

doi:10.1016/s0020-7462(01)00098-1

Cited by 45 publications

(26 citation statements)

References 6 publications

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“…Thus, direct MCS is today a powerful (and perhaps the only universal) tool for treating complex SFEM applications. This is why it is often used as a reference approach for validating the results of other methods [4,9,44,51,138,173,176,177,179].…”

Section: Direct Mcsmentioning

confidence: 99%

The stochastic finite element method: Past, present and future

Stefanou

2009

Computer Methods in Applied Mechanics and Engineering

871

407

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a b s t r a c tA powerful tool in computational stochastic mechanics is the stochastic finite element method (SFEM). SFEM is an extension of the classical deterministic FE approach to the stochastic framework i.e. to the solution of static and dynamic problems with stochastic mechanical, geometric and/or loading properties. The considerable attention that SFEM received over the last decade can be mainly attributed to the spectacular growth of computing power rendering possible the efficient treatment of large-scale problems. This article aims at providing a state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future.

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Section: Direct Mcsmentioning

confidence: 99%

The stochastic finite element method: Past, present and future

Stefanou

2009

Computer Methods in Applied Mechanics and Engineering

871

407

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“…Computer simulations of the state of the structure were performed in the FEM environment within the linear-elastic range of material and the geometrically nonlinear range of the structure with imperfections [1,3,4,7,8,10,17,18]. In the adopted FEM models (Fig.…”

Section: Fem Calculationsmentioning

confidence: 99%

The Effect of Fishing Basin Construction On the Behaviour of a Footbrdge Over the Port Channel

Pyrzowski

Miśkiewicz

Chróścielewski

2017

Polish Maritime Research

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“…The coefficients λ x 1 and λ x 2 are the parameters describing the range of the correlation in both directions, and the standard deviation s 2 w represents the variability of the field, as suggested in e.g. Bielewicz and Górski (2002), Górski and Mikulski (2008).…”

Section: Simulation Of Imperfections Using Random Fieldsmentioning

confidence: 99%

The use of response surface methodology for reliability estimation of composite engineering structures

Winkelmann

Górski

2014

jtam

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Stability loss is one of the key issues in the analysis of shells made of composite materials. This paper aims at finding the variation of the critical or limit value of the load resulting from geometric imperfections. An axially compressed 16-layer cylindrical panel model is considered. The imperfections of the panel are simulated as random fields. The parameters of these fields are used as the basic variables of the reliability problem of the model. The reliability analysis is based on the Response Surface Methodology (RSM). On the basis of the derived equation of the response surface, a reliability index of the model is determined using an author's program -both the Monte Carlo method (MC) and the Hasofer-Lind--Rackwitz-Fiessler (HLRF) reliability index formulation analyses.

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Shells with random geometric imperfections simulation — based approach

Cited by 45 publications

References 6 publications

The stochastic finite element method: Past, present and future

The stochastic finite element method: Past, present and future

The Effect of Fishing Basin Construction On the Behaviour of a Footbrdge Over the Port Channel

The use of response surface methodology for reliability estimation of composite engineering structures

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