Stochastic Buckling Analysis of Non-Uniform Columns Using Stochastic Finite Elements with Discretization Random Field by the Point Method

Hang, Do Thi; Nguyen, Xuan Tung; Tien, Dao Ngoc

doi:10.48084/etasr.4819

Cited by 7 publications

(2 citation statements)

References 27 publications

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“…MCs is a most general approach for the stochastic finite element method (SFEM) [18]. The deterministic FEM and the Monte Carlo simulation technique are merged in this methodology.…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

Dynamic Response and Reliability Analysis of Stochastic Multi-Story Frame Structures under Random Excitation

Noori¹,

Abbas²

2022

MMEP

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In earthquake engineering problems, uncertainty exists not only in the seismic excitations but also in the structure's parameters. This study investigates the influence of structural geometry, elastic modulus, mass density, and section dimension uncertainty on the stochastic earthquake response of a multi-story moment resisting frame subjected to random ground motion. The North-south component of the Ali Gharbi earthquake in 2012, Iraq, is selected as ground excitation. Using the power spectral density function (PSD), the two-dimensional finite element model of the moment resisting frame's base motion is modified to account for random ground motion. The probabilistic study of the moment resisting frame structure using stochastic finite element utilizing Monte Carlo simulation was presented using the finite element program ABAQUS. The dynamic reliability and probability of failure of the stochastic and deterministic structure based on the first passage failure were checked and evaluated. Results revealed that the probability of failure increased due to randomness in stiffness and mass of the structure. Generally, natural frequencies for the lower modes of vibration and relative displacements for the lower stories were more sensitive to the randomness in system parameters.

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“…MCs is a most general approach for the stochastic finite element method (SFEM) [18]. The deterministic FEM and the Monte Carlo simulation technique are merged in this methodology.…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

Dynamic Response and Reliability Analysis of Stochastic Multi-Story Frame Structures under Random Excitation

Noori¹,

Abbas²

2022

MMEP

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“…Authors in [33] investigated a beam on a random foundation using the SFEM. The stochastic buckling of non-uniform columns was analyzed using stochastic finite elements in [34].…”

Section: Introductionmentioning

confidence: 99%

Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus

Hien

Diem²,

Tan³

et al. 2023

Eng. Technol. Appl. Sci. Res.

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This paper deals with a continuous beam resting on elastic support with elastic modulus derived from a random process. Governing equations of the stochastic higher-order finite element method of the free vibration of the continuous beam were derived from Hamilton's principle. The random process of elastic modulus was discretized by averaging random variables in each element. A solution for the stochastic eigenvalue problem for the free vibration of the continuous beam was obtained by using the perturbation technique, in conjunction with the finite element method. Spectral representation was used to generate a random process and employ the Monte Carlo simulation. A good agreement was obtained between the results of the first-order perturbation technique and the Monte Carlo simulation.

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Reliability Analysis of an Uncertain Single Degree of Freedom System Under Random Excitation

Noori

Abbas²

2022

Eng. Technol. Appl. Sci. Res.

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In practical engineering problems, uncertainty exists not only in external excitations but also in structural parameters. This study investigates the influence of structural geometry, elastic modulus, mass density, and section dimension uncertainty on the stochastic earthquake response of portal frames subjected to random ground motions. The North-South component of the El Centro earthquake in 1940 in California is selected as the ground excitation. Using the power spectral density function, the two-dimensional finite element model of the portal frame’s base motion is modified to account for random ground motions. A probabilistic study of the portal frame structure using stochastic finite elements utilizing Monte Carlo simulation is presented using the finite element program ABAQUS. The dynamic reliability and probability of failure of stochastic and deterministic structures based on the first-passage failure were examined and evaluated. The results revealed that the probability of failure increases due to the randomness of stiffness and mass of the structure. The influence of uncertain parameters on reliability analysis depends on the extent of variance in structural parameters.

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Stochastic Buckling Analysis of Non-Uniform Columns Using Stochastic Finite Elements with Discretization Random Field by the Point Method

Cited by 7 publications

References 27 publications

Dynamic Response and Reliability Analysis of Stochastic Multi-Story Frame Structures under Random Excitation

Dynamic Response and Reliability Analysis of Stochastic Multi-Story Frame Structures under Random Excitation

Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus

Reliability Analysis of an Uncertain Single Degree of Freedom System Under Random Excitation

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