Uncertainty qualification for the free vibration of a functionally graded material plate with uncertain mass density

Hien, Ta Duy; Thanh, Bui Tien; Giang, Nguyen Thi Quynh

doi:10.1088/1755-1315/143/1/012021

Cited by 4 publications

(1 citation statement)

References 16 publications

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“…N.X Hoang et al [17] and T.D. Hien et al [18] developed stochastic isogeometric analysis for the eigenvalue problem of composite structures with uncertain material properties. Chensen et al [19] proposed the isogeometric generalized n-th order perturbation-based stochastic method for composite structures with random material parameters.…”

Section: Introductionmentioning

confidence: 99%

A static analysis of nonuniform column by stochastic finite element method using weighted integration approach

Hien

2020

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In general, the fluctuation of the elastic modulus of materials is crucial in structural analysis. This paper develops a stochastic finite element method (SFEM) for analyzing a nonuniform column considering the random process in elastic modulus. This random process of elastic modulus is assumed as a one-dimensional Gaussian random field. The weighted integration method is used to discretize the random field and establish the stochastic finite element formulation to compute the first and second moments of displacement fields. The results of the proposed approach are validated with those of the previous study. The response variability of displacement of column and effect of the parameter of the random field is investigated in detail.

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Section: Introductionmentioning

confidence: 99%

A static analysis of nonuniform column by stochastic finite element method using weighted integration approach

Hien

2020

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Investigation Into The Response Variability of A Higher-Order Beam Resting on A Foundation Using A Stochastic Finite Element Method

Hien

Thanh

Long

et al. 2019

Lecture Notes in Civil Engineering

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Stochastic Perturbation-Based Finite Element for Free Vibration of Functionally Graded Beams with an Uncertain Elastic Modulus

Thuan

Hien

2020

Mech Compos Mater

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Uncertainty qualification for the free vibration of a functionally graded material plate with uncertain mass density

Cited by 4 publications

References 16 publications

A static analysis of nonuniform column by stochastic finite element method using weighted integration approach

A static analysis of nonuniform column by stochastic finite element method using weighted integration approach

Investigation Into The Response Variability of A Higher-Order Beam Resting on A Foundation Using A Stochastic Finite Element Method

Stochastic Perturbation-Based Finite Element for Free Vibration of Functionally Graded Beams with an Uncertain Elastic Modulus

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