Assessment of New Quasi-3D Finite Element Model for Free Vibration and Stability Behaviors of Thick Functionally Graded Beams

Mesbah, Abdelhak; Belabed, Zakaria; Tounsi, Abdelouahed; Ghazwani, Mofareh Hassan; Alnujaie, Ali; Aldosari, Salem Mohammed

doi:10.1007/s42417-023-00976-8

Cited by 8 publications

(2 citation statements)

References 53 publications

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“…The modeling and design of such macro-and micromechanical structures require the utilization of complicated geometrically and physically nonlinear models that account for the elastic deformation of continuous systems [13]. A substantial number of references in the current literature are dedicated to addressing such issues and challenges [11,[14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Structural Analysis of MEMS Shallow Arch Assuming Multimodal Initial Curvature Profiles

Alneamy,

Ouakad

2024

Mathematics

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The present investigation focuses on the design and mathematical modeling of a microelectromechanical (MEMS) mode-localized based sensor/actuator system. This device incorporates a sensitive clamped–clamped shallow arch microbeam with an initial curvature shaped to resemble one of the first two symmetric and asymmetric modes of free oscillations of a clamped–clamped beam. The analysis reveals that with a suitable arrangement of the initial shape of the device flexible electrode and a proper tuning of the maximum initial rise and the actuating dc load enables the transition to display certain bistable behavior. This could be a better choice to build a device with a large stroke. Furthermore, the generated data showed the occurrence of mode-veering, indicating a coupling between the concerned symmetric and asymmetric modes of vibrations, and offering the possibility for such a device to be used as a mode-localized MEMS-based sensor utilizing veering and crossing phenomena. Indeed, where a certain energy is exchanged between symmetric and asymmetric modes of a microbeam, it can be utilized to serve as a foundation for the development of a new class of highly precise resonant sensors that can capture, with a certain level of precision, any of the sensed signal amplitudes.

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Section: Introductionmentioning

confidence: 99%

Modeling and Structural Analysis of MEMS Shallow Arch Assuming Multimodal Initial Curvature Profiles

Alneamy,

Ouakad

2024

Mathematics

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“…In fact, due to the lack of preparation methods and processes, the prepared functionally graded materials often have many tiny pores [6,7]. Some scholars have studied the static and dynamic response of porous functionally graded materials based on porous volume fraction, functional gradient index, and porosity distribution patterns [8][9][10][11]. According to fractal geometry, a layered structure or porous media can be seen as a fractal medium [12].…”

Section: Introductionmentioning

confidence: 99%

Evolution Analysis of Strain Waves for the Fractal Nonlinear Propagation Equation of Longitudinal Waves in a Rod

Fan,

Liu,

Wang

et al. 2023

Fractal Fract

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Based on the layered and porous characteristics of functionally graded materials and the finite deformation assumption of solids, the fractal nonlinear propagation equation of longitudinal waves in a functionally graded rod is derived. A large number of exact displacement gradient traveling wave solutions of the fractal equation are obtained by using an equivalent simplified extended (G′/G) expansion method. Three sets of existing and different displacement gradient solutions are obtained by analyzing these exact solutions, and then three corresponding fractal dimension strain waves are derived. The results of numerical simulation of the evolution of these three strain waves with fractal dimension show that when the strain wave propagates in the rod, the smaller the fractal dimension or, the larger the radius of the rod, the higher the tensile strength of the material.

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Effect of Friction Stir Process on Mechanical Properties and Bottom Section Ultimate Strength of Ship Steel

Sekban

2024

J. of Materi Eng and Perform

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Assessment of New Quasi-3D Finite Element Model for Free Vibration and Stability Behaviors of Thick Functionally Graded Beams

Cited by 8 publications

References 53 publications

Modeling and Structural Analysis of MEMS Shallow Arch Assuming Multimodal Initial Curvature Profiles

Modeling and Structural Analysis of MEMS Shallow Arch Assuming Multimodal Initial Curvature Profiles

Evolution Analysis of Strain Waves for the Fractal Nonlinear Propagation Equation of Longitudinal Waves in a Rod

Effect of Friction Stir Process on Mechanical Properties and Bottom Section Ultimate Strength of Ship Steel

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