Vibrations of Multi-Layer Beam with Nanocomposite Face Sheets Reinforced with Graphene Platelets and Porous Core

Subject Areas : Mechanics of Solids

A Mihankhah ¹ , Zahra Khoddami Maraghi ² , Ali Ghorbanpour Arani ³ , Shahriar Niknejad ⁴

1 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
2 - Faculty of Engineering, Mahallat Institute of Higher Education, Mahallat, Iran
3 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran-----Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, Iran
4 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

Received: 2023-03-30 Accepted : 2023-05-26 Published : 2023-09-01

Keywords: Graphene nanoplatelets reinforced composites, Three-layer beam, Porous materials, Vibration,

Abstract :

The current article investigates the free vibrations of a three-layer beam. The middle layer of this structure is selected from porous material. For modeling the porous layer, linear pro-elasticity relationships are applied, while Young's modulus and its density vary along the thickness. The upper and lower layers of the structure are reinforced with graphene nanoplates and can take different configurations as Parabolic, linear, and uniform. In this study, with the help of Halpin-Tsai modified theory, equivalent composite coefficients will be extracted. The equations of motion in three layers are derived with the help of third order shear theory, energy method and Hamilton's Principle. Among the significant results of this article, we can mention the effect of amplifiers in improving the vibration behavior of the beam, the effect of pore pressure and volume fraction of reinforcement on the frequency of vibrations. The results of this research can be applied in marine, aerospace, and civil industries.

References:

1. Ghorbanpour Arani A., Zarei M., 2015, Nonlocal vibration of Y-shaped CNT conveying nano-magnetic viscous fluid under magnetic field, Ain Shams Engineering Journal 6(2): 565-575.


2. Choi J.D., Park S.B., Kim Y.K., 1993, Vibration characteristics of hollow cantilevered beams containing an electro-rheological fluid, International Journal of Mechanical Sciences 35(9): 757-768.


3. Yeh J.Y., Chen L.W., Wang C.C., 2004, Dynamic stability of a sandwich beam with a constrained layer and electrorheological sluid core, Composite Structures 64: 47-


4. Wei S., Meng K., Zhang G., Zhou W., 2007, Vibration characteristics of rotating sandwich beams filled with electrorheological fluids, The Journalof Intelligent Materials Systems and Structures 18(11): 1165-


5. Allahverdizadeh A., Mahjoob M.J., Maleki M., Nasrollahzadeh N., Naei M.H., 2013, Structural modeling, vibration analysis and optimal viscoelastic layer characterization of adaptive sandwich beams with electrorheological fluid core, Mechanics Research Communications 51: 15-


6. Rezaeepazhand J., Pahlavan L., 2009, Transient response of sandwich beams with electrorheological core, J The Journalof Intelligent Materials Systems and Structures 20(2): 171-


7. Ramkumar K., Ganesan N., 2009, Vibration and damping of composite sandwich box column with viscoelastic/electrorheological fluid core and performance comparison, Materials and Design30(8): 2981-


8. Asgari M.A., Kouchakzadeh M., 2016, Acroclastic characteristics of magneto rheological fluid sandwich beams in supersonic airflow, Composite Structures 143: 93-102.


9. Keshtegar B., Motezaker M., Kolahchi M., Nguyen-Thoi T., 2020, Wave propagation and vibration responses in porous smart nanocomposite sandwich beam resting on Kerr foundation considering structural damping, Thin-Walled Structures 154:


10. Chen D., Kitipornchai S., Yang J., 2016, Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core, Thin-Walled Structures 107: 39-48.


11. Asemi K., Babaei , Kiarasi F., 2020, Static natural frequency and dynamic analyses of functionally graded porous annular sector plates reinforced by graphene platelets, Mechanics Based Design of Structures and Machines 50(11): 3853-3881.


12. Kiarasi F., Babaei M., Sarvi P., Asemi K., Hosseini M., Omidi Bidgoli M., 2021, A review on functionally graded porous structures reinforced by graphene platelets, Journal of Computational Applied Mechanics 52(4): 731-750.


13. Kiarasi F., Babaei M., Mollaei S., Mohammadi M., Asemi K., 2021 Free vibration analysis of FG porous joined truncated conical-cylindrical shell reinforced by graphene platelets, Advances in Nano Research 11(4): 361-380.


14. Babaei M., Asemi K., Kiaras F., 2021, Dynamic analysis of functionally graded rotating thick truncated cone made of saturated porous materials, Thin Walled Structures 164:


15. Rajamohan V., Sundararaman V., Govindarajan B., 2013, Finite element vibration analysis of a magnetorheological fluid sandwich beam, Procedia Engineering 64: 603-


16. Amir S., Arshid E., Khoddami Maraghi Z., Loghman A., Ghorbanpour Arani A., 2020, Vibration analysis of magnetorheological fluid circular sandwich plates with magnetostrictive facesheets exposed to monotonic magnetic field located on visco-Pasternak substrate, Journalof Vibration and Control 26(17-18): 1523-


17. Zhong R., Wang Q., Ang J.T., Shuai C., Qin B., 2018, Vibration analysis of functionally graded carbon nanotube reinforced composites (FG-CNTRC) circular, annular and sector plates, Composite Structures 194: 49-


18. Akhavan Alavi S.M., Mohammadimehr M., Edjtahed S.H., 2019, Active control of micro Reddy beam integrated with functionally graded nanocomposite sensor and actuator based on linear quadratic regulator method, European Journalof Mechanics; A/Solids 74: 449-


19. Yue Y.M., Xu K.Y., Chen T., 2016, A micro scale Timoshenko beam model for piezoelectricity with flexoelectricity and surface effects, Composite Structures 136: 278-


20. Ghorbanpour Arani A., Zamani M.H., 2018, Nonlocal free vibration analysis of FG-Porous shear and normal deformable sandwich nanoplate with piezoelectric face sheets resting on silica aerogel foundation, Arabian Journal for Science and Engineering 43(9): 4675-


21. Amir S., 2019, Orthotropic patterns of visco-Pasternak foundation in nonlocal vibration of orthotropic graphene sheet under thermo-magnetic fields based on new first-order shear deformation theory, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 233(2): 197-


22. Sahmani S., Safaei B., 2021, Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect, Applied MathematicalModelling 89: 1792-


23. Ych L., Chen J.Y., 2004, Vibration of a sandwich plate with a constrained layer and electrorheological fluid core, Composite Structures 65(2): 251-


24. Asemi, S.R., 2014,, Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM, Physica E: Low-Dimensional Systems and Nanostructures 63: 169-179.


25. Ych L., Chen J.Y., 2004, Free and forced vibrations of shear deformable functionally graded porous beams, International Journal of Mechanical Sciences 108-109: 14-22.