Free vibration analysis of the geometrically nonlinear functionally graded porous curved panels in deterministic and stochastic domains considering various boundary conditions

Amir, Mohammad; Kim, Sang-Woo; Lee, Soo-Yong

doi:10.1080/17455030.2024.2343100

Waves in Random and Complex Media

2024

DOI: 10.1080/17455030.2024.2343100

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Free vibration analysis of the geometrically nonlinear functionally graded porous curved panels in deterministic and stochastic domains considering various boundary conditions

Mohammad Amir,

Sang-Woo Kim,

Soo-Yong Lee

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2024

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Cited by 2 publications

References 57 publications

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An analytical modelling of free vibration in porous FG-CNTRC plate resting on elastic foundations

TAYEB,

Amir,

Kim

et al. 2024

Materials Today Communications

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An analytical modelling of free vibration in porous FG-CNTRC plate resting on elastic foundations

TAYEB,

Amir,

Kim

et al. 2024

Materials Today Communications

View full text Add to dashboard Cite

Comparative static analysis of functionally graded porous curved beams: Deterministic versus stochastic approaches

Amir,

Kim,

Choi

2024

The Journal of Strain Analysis for Engineering Design

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This study presents a comprehensive exploration of the comparative static analysis of functionally graded porous curved beams, examining deterministic versus stochastic approaches. The material randomness is incorporated using a stochastic finite element model. The formulation employed in this study utilizes three-noded elements and combines a higher-order shear deformation theory (HSDT) with the probabilistic first-order perturbation technique. The investigation focuses on an FGM curved beams incorporating various porosity models, including even, uneven, and sinusoidal distributions. The FGM porous curved beam is subjected to a uniform distributed load, and the study aims to determine the stochastic bending responses under these conditions. Additionally, various parameters influencing bending response, such as boundary conditions, geometric configurations, volume fraction indices, and porosity distributions, are examined. The uncertain bending responses are assessed in terms of material stochasticity using a stochastic finite element model, with validation through Monte Carlo simulation. Subsequent research endeavors within this field may investigate the impact of random fluctuations on both geometry and boundary conditions.

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Free vibration analysis of the geometrically nonlinear functionally graded porous curved panels in deterministic and stochastic domains considering various boundary conditions

Cited by 2 publications

References 57 publications

An analytical modelling of free vibration in porous FG-CNTRC plate resting on elastic foundations

An analytical modelling of free vibration in porous FG-CNTRC plate resting on elastic foundations

Comparative static analysis of functionally graded porous curved beams: Deterministic versus stochastic approaches

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