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Uncertain vibration characteristics of Bi-directional functionally graded sandwich nanoplate subjected to dynamic load
https://orcid.org/0000-0001-6316-3120
https://orcid.org/0000-0002-3762-4226
Highlights Isogeometric Analysis based on HSDT is developed for dynamic responses of BFGSW nanoplates subjected to dynamic loading. Monte Carlo Simulation is employed to capture distribution characteristics of vibration responses of BFGSW nanoplates with random input parameters. The nonlocal theory is used to take into account the small-scale effect that appears in BFGSW nanoplates. Effects of geometrical parameters and material properties on dynamic responses of BFGSW nanoplates are investigated as new numerical results. The proposed method can be developed to be the FEM standard solution for predicting the behavior of BFGSW nanoplates with random input parameters.
Abstract In this paper, we present a novel approach that combines isogeometric analysis (IGA) with the higher-order shear deformation theory (HSDT) and Monte Carlo simulation (MCS). Our objective is to investigate uncertain vibration characteristics of bi-functionally graded sandwich (BFGSW) nanoplates under dynamic loading. The small-scale effect observed in nanostructures is achieved by employing the nonlocal elasticity theory. This theory allows for the consideration of the mechanical behavior that arises at the nanoscale level. Within the stochastic design approach, the state function for design conditions is commonly formulated by incorporating input random variables, assumed distribution functions, and random responses obtained from computational models. This work primarily focuses on investigating vibrational characteristics of BFGSW nanoplates when the model parameters are considered as random quantities. The obtained results show that distribution characteristics of vibration of the BFGSW nanoplate depend significantly on the standard deviation of input parameters.
Uncertain vibration characteristics of Bi-directional functionally graded sandwich nanoplate subjected to dynamic load
https://orcid.org/0000-0001-6316-3120
https://orcid.org/0000-0002-3762-4226
Highlights Isogeometric Analysis based on HSDT is developed for dynamic responses of BFGSW nanoplates subjected to dynamic loading. Monte Carlo Simulation is employed to capture distribution characteristics of vibration responses of BFGSW nanoplates with random input parameters. The nonlocal theory is used to take into account the small-scale effect that appears in BFGSW nanoplates. Effects of geometrical parameters and material properties on dynamic responses of BFGSW nanoplates are investigated as new numerical results. The proposed method can be developed to be the FEM standard solution for predicting the behavior of BFGSW nanoplates with random input parameters.
Abstract In this paper, we present a novel approach that combines isogeometric analysis (IGA) with the higher-order shear deformation theory (HSDT) and Monte Carlo simulation (MCS). Our objective is to investigate uncertain vibration characteristics of bi-functionally graded sandwich (BFGSW) nanoplates under dynamic loading. The small-scale effect observed in nanostructures is achieved by employing the nonlocal elasticity theory. This theory allows for the consideration of the mechanical behavior that arises at the nanoscale level. Within the stochastic design approach, the state function for design conditions is commonly formulated by incorporating input random variables, assumed distribution functions, and random responses obtained from computational models. This work primarily focuses on investigating vibrational characteristics of BFGSW nanoplates when the model parameters are considered as random quantities. The obtained results show that distribution characteristics of vibration of the BFGSW nanoplate depend significantly on the standard deviation of input parameters.
Uncertain vibration characteristics of Bi-directional functionally graded sandwich nanoplate subjected to dynamic load
https://orcid.org/0000-0001-6316-3120
https://orcid.org/0000-0002-3762-4226
Highlights Isogeometric Analysis based on HSDT is developed for dynamic responses of BFGSW nanoplates subjected to dynamic loading. Monte Carlo Simulation is employed to capture distribution characteristics of vibration responses of BFGSW nanoplates with random input parameters. The nonlocal theory is used to take into account the small-scale effect that appears in BFGSW nanoplates. Effects of geometrical parameters and material properties on dynamic responses of BFGSW nanoplates are investigated as new numerical results. The proposed method can be developed to be the FEM standard solution for predicting the behavior of BFGSW nanoplates with random input parameters.
Abstract In this paper, we present a novel approach that combines isogeometric analysis (IGA) with the higher-order shear deformation theory (HSDT) and Monte Carlo simulation (MCS). Our objective is to investigate uncertain vibration characteristics of bi-functionally graded sandwich (BFGSW) nanoplates under dynamic loading. The small-scale effect observed in nanostructures is achieved by employing the nonlocal elasticity theory. This theory allows for the consideration of the mechanical behavior that arises at the nanoscale level. Within the stochastic design approach, the state function for design conditions is commonly formulated by incorporating input random variables, assumed distribution functions, and random responses obtained from computational models. This work primarily focuses on investigating vibrational characteristics of BFGSW nanoplates when the model parameters are considered as random quantities. The obtained results show that distribution characteristics of vibration of the BFGSW nanoplate depend significantly on the standard deviation of input parameters.
Uncertain vibration characteristics of Bi-directional functionally graded sandwich nanoplate subjected to dynamic load
Pham, Quoc-Hoa (author) / Tran, Trung Thanh (author) / Nguyen, Phu-Cuong (author)
Thin-Walled Structures ; 193
2023-09-17
Article (Journal)
Electronic Resource
English
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