Free vibration of functionally graded sandwich plates in thermal environments

Li, Dongdong; Deng, Zongquan; Chen, Guoping

doi:10.1002/msd2.12063

Cited by 8 publications

(2 citation statements)

References 36 publications

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“…This research has implications for the design and analysis of microelectromechanical systems and other similar devices that show nonlinear and stochastic behavior. Li et al 39 investigated the free vibration behavior of FG sandwich plates in thermal environments. The sandwich plate consisted of two face sheets made of isotropic materials and a FG core layer.…”

Section: Introductionmentioning

confidence: 99%

A complex solution on the dynamic response of sandwich graphene‐reinforced aluminum‐based composite beams with copper face sheets under two moving constant loads on an elastic foundation

Eghbali,

Hosseini

2023

Int Journal of Mech Sys Dyn

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An analytical solution was used to investigate the elastic response of a sandwich beam with a graphene‐reinforced aluminum‐based composite (GRAC) on an elastic foundation using copper as the face layer of the functionally graded composite beam and a simply supported boundary condition. Mantari's higher‐order shear deformation theory was utilized to derive the equations, which were solved in Laplace space and then converted into space–time using Laplace inversion. The exact response of the GRAC sandwich beam was obtained by considering the displacement at the mid‐span of the sandwich beam. Two moving loads with different speed ratios were applied at a single point, and the effect of various parameters, including the spring constant, the speed ratio, the percentage of graphene, the moving load speed, and the distribution pattern, was investigated. This study aimed to eliminate any overlap and improve the accuracy of the results. The exact solving method presented has not been reported in other articles so far. Additionally, due to the difficulty of solving mathematical equations, this method is only applicable to simple boundary conditions.

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Section: Introductionmentioning

confidence: 99%

A complex solution on the dynamic response of sandwich graphene‐reinforced aluminum‐based composite beams with copper face sheets under two moving constant loads on an elastic foundation

Eghbali,

Hosseini

2023

Int Journal of Mech Sys Dyn

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“…Alnujaie et al [13] studied buckling and free vibration analysis of multi-directional functionally graded sandwich plates. Li et al [14] examined free vibration of functionally graded sandwich plates in thermal environments.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the vibration problem of sandwich heterogeneous orthotropic plates

Bozkurt,

Dilmaç,

Sofiyev

2023

UNEC j. eng. appl. sci.

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In this study, the solution of the free vibration problem of sandwich plates consisting of heterogeneous orthotropic layers is presented. First, the Kirchhoff-Love theory (KLT) for homogeneous plates is extended to sandwich plates composed of heterogeneous orthotropic layers. Within the framework of Donnell theory, after establishing the basic relations of multilayer plates, governing equations are derived based on Airy stress and deflection functions. The solution of the governing equations is carried out by the Galerkin method and the analytical expression is found for the linear frequency of sandwich plates consisting of heterogeneous orthotropic layers. Finally, the effects of various factors such as heterogeneity, number of layers and their arrangement on the free vibration frequency of sandwich plates are examined.

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Perforated plate ventilation system and dynamics of infectious respiratory particle transmission

Song,

Cheng,

Kong

et al. 2024

Int Journal of Mech Sys Dyn

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With the removal of indoor pollutants and the assurance of air quality emerging as critical research topics, the optimization of the internal environment in offices, where people stay for extended periods, is essential for controlling the spread of infectious respiratory particles. Frequent movements of personnel and the operation of doors and windows within offices significantly impact the mechanisms of droplet transmission, warranting further investigation. This study employs computational fluid dynamics simulations to explore the droplet dispersion characteristics and pollutant removal efficiency of the simplified model of perforated plate ventilation system (PPVS) (the diameter of the air supply openings has been reasonably simplified and uniformly set to 0.02 m) in office settings, as well as the impact of dynamic door operation scenarios on droplet spread and concentrations in breathing zones. To optimize the ventilation system's pollutant removal efficiency, airflow velocities (2.86, 3.18, and 5.00 m/s) are varied, with simulations conducted at the optimal velocity of 3.18 m/s. The effects of continuous door operations, door‐opening directions (towards the office and towards the isolation room), and opening speeds (π/4, π/6, π/8, and π/10 rad/s) are also examined, revealing significant impacts on droplet spread. Results indicate that PPVS effectively reduces indoor pollutant concentrations at all tested airflow velocities, with the optimal speed identified as 3.18 m/s. Additionally, door‐opening direction and speed can significantly influence droplet spread. Opening doors towards isolation rooms at smaller angles (less than 30°) effectively reduces droplet concentrations in personnel breathing zones, thereby mitigating the risk of droplet transmission. Faster door‐opening speeds also contribute to lower droplet concentrations in these zones. This innovative study explores the impacts of PPVS and dynamic door operation dynamics on droplet transmission during respiratory disease outbreaks, providing valuable theoretical insights and technical support for disease prevention and indoor air quality improvement.

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Free vibration of functionally graded sandwich plates in thermal environments

Cited by 8 publications

References 36 publications

A complex solution on the dynamic response of sandwich graphene‐reinforced aluminum‐based composite beams with copper face sheets under two moving constant loads on an elastic foundation

A complex solution on the dynamic response of sandwich graphene‐reinforced aluminum‐based composite beams with copper face sheets under two moving constant loads on an elastic foundation

Investigation of the vibration problem of sandwich heterogeneous orthotropic plates

Perforated plate ventilation system and dynamics of infectious respiratory particle transmission

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