Analytical and numerical investigation of free vibration of nanoparticle-reinforced composite cylindrical shells
1
Ministry of Higher Education and Scientific Research, Studies & Planning & Follow-Up Directorate, Baghdad, Iraq
2
Department of Mechanical Engineering, Faculty of Engineering, University of Kufa, Iraq
3
Ministry of Industry and Minerals, State Company for Rubber and Tires Industries, Iraq
4
Prosthetics and Orthotics Engineering Department, College of Engineering and Technologies, Al-Mustaqbal University, Hillah, 51001, Iraq
5
Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun 248002, Uttarakhand, India
Submission date: 2024-06-07
Final revision date: 2024-10-15
Acceptance date: 2025-02-11
Online publication date: 2025-02-12
Publication date: 2025-02-12
Corresponding author
Emad Kadum Njim
Ministry of Industry and Minerals. State Company for Rubber and Tires Industries. Iraq
Ministry of Industry and Minerals. State Company for Rubber and Tires Industries. Iraq
KEYWORDS
TOPICS
ABSTRACT
This study focuses on the characterization of free vibration of composite shell structures strengthened by different volume fractions of nanoparticles analytically and numerically. Using simply supported boundary conditions, the governing differential equation of motion for the shell was formulated based on the Donnell-Mushtari-Vlasov (DMV) shell theory. For different design parameters, the natural frequency was investigated by employing the Orthogonality method. Four different layers of material, namely Perlon, Carbon, Kevlar, and Kenaf, of thickness 30 mm, were made. Nanoparticles Alumina (Al2O3) and Silica (SiO2) were chosen and mixed in varying volume fractions (0.5%, 1%, 1.5%, 2%, and 2.5%) for the sample fabrication. Two types of samples, A and B, were created based on the arrangement of layers. The tensile tests were performed on the fabricated specimens to identify the longitudinal Young’s modulus of specimens. The two groups that consist of different layers of materials were made and named as group A and group B. The results indicate an increase in Young’s modulus of 33.9% increase for nano Al2O3 and a 42.25% increase for nano SiO2 at a volume fraction of 2.5% for group A, while for group B, the enhancement was 37.96% and 47.39% for Al2O3 and SiO2 nanoparticles, respectively. The results indicate that as the volume fraction of nanomaterial is increased, the natural frequency increases. The experimental results are used to validate both analytical and numerical solution conducted by the finite element method (FEM) under various loading conditions. The maximum difference between the analytical and numerical prediction of the natural frequency results was within 5%.
FUNDING
This research received no external funding.
REFERENCES (45)
1.
Njim EK, Bakhy SH, Al-Waily M. Experimental and numerical flexural analysis of porous functionally graded beams reinforced by (Al/Al2O3) nanoparticles. International Journal of Nanoelectronics and Materials. 2022;15:91-106.
2.
Jawad K. Oleiwi, Nesreen Dakhel Fahad, Marwah Mohammed Abdulridha, Muhannad Al-Waily, Emad Kadum Njim, Laser Treatment Effect on Fatigue Characterizations for Steel Alloy Beam Coated with Nanoparticles, International Journal of Nanoelectronics and Materials. 2023;16:105-119.
3.
Al-Shablle M, Al-Waily M, Njim EK, Analytical evaluation of the influence of adding rubber layers on free vibration of sandwich structure with the presence of nano-reinforced composite skins," Archives of Materials Science and Engineering. 2023;116(2): 57-70. https://doi.org/10.5604/01.300....
4.
Zhang H, Li M, Hu W, An X, Fan H. Nondestructive parameter identification technique of ultra-light CFRC corrugated sandwich cylinder, NDT & E International. 2021;124:102520. https://doi.org/10.1016/j.ndte....
5.
Zhang D et al. Lower-bound axial buckling load prediction for isotropic cylindrical shells using probabilistic random perturbation load approach. Thin-Walled Structures. 2020;155:106925. https://doi.org/10.1016/j.tws.....
6.
Licai Yang, Ying Luo, Tian Qiu, Hao Zheng, Peng Zeng, A novel analytical study on the buckling of cylindrical shells subjected to arbitrarily distributed external pressure. Eur. J. Mech. Solid. 2022. https://doi.org/10.1016/j.euro....
7.
Li M, Fan H. Free vibration behaviors and vibration correlation technique of hierarchical Isogrid stiffened composite cylinders. Thin-Walled Structures. 2021; 159: 107321. https://doi.org/10.1016/j.tws.....
8.
Al-Waily M, Al-Shammari, MA, Jweeg MJ, An analytical investigation of thermal buckling behavior of composite plates reinforced by carbon nano particles. Engineering Journal. 2020;24(3):11–21. https://doi.org/10.4186/ej.202....
9.
Raad H, Njim E, Jweeg M, Al-Waily M, Hadji L, Madan R. Vibration analysis of sandwich plates with hybrid composite cores combining porous polymer and foam structures. JCAM 2024;55(3). https://doi.org/10.22059/jcame....
10.
Al-Shablle M, Njim EK, Jweeg MJ, Al-Waily M. Free vibration analysis of composite face sandwich plate strengthens by Al2O3 and SiO2 nanoparticles materials. Diagnostyka. 2023;24(2):1–9. https://doi.org/10.29354/diag/....
11.
Javed S, Viswanathan KK, Aziz ZA. Free vibration analysis of composite cylindrical shells with non-uniform thickness walls. Steel and Composite Structures. 2016;20(5):1087-1102. https://doi.org/10.12989/scs.2....
12.
Helloty AE. Dynamic response of laminated composite shells subjected to impulsive loads. IOSR Journal of Mechanical and Civil Engineering. 2017;14 (3):108-113. https://doi.org/10.9790/1684-1....
13.
Chaubey AK, Kumar A, Chakrabarti A. Vibration of laminated composite shells with cutouts and concentrated mass. AIAA Journal. 2018;56(4):1662–1678. https://doi.org/10.2514/1.J056....
14.
Haichao Li, Fuzhen Pang, Hailong Chen, Yuan D. Vibration analysis of functionally graded porous cylindrical shell with arbitrary boundary restraints by using a semi analytical method, Composites Part B: Engineering. 2019;164:249–264. https://doi.org/10.1016/j.comp....
15.
Wang YQ, Ye C, Zu JW. Vibration analysis of circular cylindrical shells made of metal foams under various boundary conditions, International Journal of Mechanics and Materials in Design. 2019;15(2):333–344. https://doi.org/10.1007/s10999....
16.
Dongze He, Dongyan Shi, Qingshan Wang, Cijun Shuai. Wave based method (WBM) for free vibration analysis of cross-ply composite laminated cylindrical shells with arbitrary boundaries. Composite Structures. 2019;213:284–298. https://doi.org/10.1016/j.comp....
17.
Ghasemi AR, Mohandes M. Free vibration analysis of micro and nano fiber-metal laminates circular cylindrical shells based on modified couple stress theory, Mechanics of Advanced Materials and Structures. 2018;27(1):43–54. https://doi.org/10.1080/153764....
18.
Trung Thanh Tran, Van Ke Tran, Pham Binh Le, Van Minh Phung, Van Thom Do and Hoang Nam Nguyen, Forced Vibration Analysis of Laminated Composite Shells Reinforced with Graphene Nanoplatelets Using Finite Element Method. Advances in Civil Engineering 2020;1–17. http://dx.doi.org/10.1155/2020....
19.
Zhang C, et al. Vibration analysis of a sandwich cylindrical shell in hygrothermal environment, Nanotechnology Reviews. 2021;10(1):414–430. https://doi.org/10.1515/ntrev-....
20.
Shibai Guo, Ping Hu, Sheng Li. The walsh series discretization method for free vibration analysis of composite spherical shells based on the shear deformation theory. Composite Structures. 2022;288: 115408. https://doi.org/10.1016/j.comp....
21.
Wu MQ, Zhang W, Niu Y. Experimental and numerical studies on nonlinear vibrations and dynamic snap-through phenomena of bistable asymmetric composite laminated shallow shell under center foundation excitation. European Journal of Mechanics - A/Solids. 2021;89. https://doi.org/10.1016/j.euro....
22.
Chen W, Luo WM, Chen SY, Peng LX, A FSDT meshfree method for free vibration analysis of arbitrary laminated composite shells and spatial structures. Composite Structures. 2022;279. https://doi.org/10.1016/j.comp....
23.
Mohammadi H, Setoodeh AR, Vassilopoulos AP. Isogeometric Kirchhoff–Love shell patches in free and forced vibration of sinusoidally corrugated FG carbon nanotube-reinforced composite panels. Thin-Walled Structures. 2022;171:108707. https://doi.org/10.1016/j.tws.....
24.
Melaibari A. et al. A dynamic analysis of randomly oriented functionally graded carbon nanotubes/fiber-reinforced composite laminated shells with different geometries. Mathematics. 2022;10(3):408. https://doi.org/10.3390/math10....
25.
Tian K, Huang L, Sun Y, Zhao L, Gao T, Wang B. Combined approximation based numerical vibration correlation technique for axially loaded cylindrical shells. European Journal of Mechanics - A/Solids. 2022;93:104553. https://doi.org/10.1016/j.euro....
26.
Lin G, et al. Dynamic instability of fiber composite cylindrical shell with metal liner subjected to internal pulse loading. Composite Structures. 2022;280: 114906. https://doi.org/10.1016/j.comp....
27.
Li H, Pang F, Miao X, Gao S, Liu F. A semi analytical method for free vibration analysis of composite laminated cylindrical and spherical shells with complex boundary conditions. Thin-Walled Structures. 2019;136:200–220. https://doi.org/10.1016/j.tws.....
28.
Sandipan Nath Thakur, Chaitali Ray, Static and free vibration analyses of moderately thick hyperbolic paraboloidal cross ply laminated composite shell structure. Structures 2021;32:876–888. https://doi.org/10.1016/j.istr....
29.
Zamani HA. Free vibration of rotating graphene-reinforced laminated composite conical shells. Composites Part C: Open Access 2021;5:100153. https://doi.org/10.1016/j.jcom....
30.
Kim K, Jon Y, An K, Kwak S, Han Y. A solution method for free vibration analysis of coupled laminated composite elliptical-cylindrical-elliptical shell with elastic boundary conditions. Journal of Ocean Engineering and Science 2022;7(2):112–130. https://doi.org/10.1016/j.joes....
31.
Guo C, Liu T, Wang Q, Qin B, Wang A. A unified strong spectral Tchebychev solution for predicting the free vibration characteristics of cylindrical shells with stepped-thickness and internal-external stiffeners. Thin-Walled Structures. 2021;68:108307. https://doi.org/10.1016/j.tws.....
32.
Logesh K, Vel VM, Seikh AH, Hebbale AM, Nagabhooshanam SANA, Subbiah R, Siddique MH, Praveen Kumar S. Investigations of nanoparticles (Al2O3-SiO2) addition on the mechanical properties of blended matrix polymer composite. Journal of Nanomaterials. 2022(1):4392371.https://doi.org/10.1155/2022/4....
33.
Sobhani E, Masoodi AR. A Comprehensive shell approach for vibration of porous nano-enriched polymer composite coupled spheroidal-cylindrical shells. Composite Structures. 2022;289:115464. https://doi.org/10.1016/j.comp....
34.
Aurélien C, Juvé V, Mongin D, Maioli P, Fatti ND, Vallée F. Vibrations of spherical core-shell nanoparticles. Phys. Rev. 2011;B83(20):205430. https://doi.org/10.1103/PhysRe....
35.
Jweeg Muhsin J, Njim EK, Abdullah OS, Al-Shammari MA, Al-Waily M, Bakhy SH. Free vibration analysis of composite cylindrical shell reinforced with silicon nano-particles: Analytical and FEM approach. Physics and Chemistry of Solid State. 2023;24(1):26–33. https://doi.org/10.15330/pcss.....
36.
Bhattacharyya M, Kapuria S, Kumar AN. On the stress to strain transfer ratio and elastic deflection behavior for Al/SiC functionally graded material. Mechanics of Advanced Materials and Structures. 2007;14(4):295–302. https://doi.org/10.1080/153764....
37.
Madan Royal, Shubhankar Bhowmick. Modeling of functionally graded materials to estimate effective thermo-mechanical properties. World Journal of Engineering ahead-of-print (ahead-of-print). 2021. https://doi.org/10.1108/WJE-09....
38.
Pershin V. et al, Simulation of graphene-containing viscous fluid motion in the gap between static and rotating discs. Journal of Physics: Conference Series 2019;1278(1):012025. https://doi.org/10.1088/1742-6....
39.
Pershin VF, et al. Production of few-layer and multilayer graphene by shearing exfoliation of graphite in liquids. IOP Conference Series: Materials Science and Engineering. 2019;693(1):012023. https://doi.org/10.1088/1757-8....
40.
Shakouri M. Free vibration analysis of functionally graded rotating conical shells in thermal environment. Compos Part B-Eng. 2019;163:574-584. https://doi.org/10.1016/j.comp....
41.
Singiresu S. Rao. Vibration of continuous systems. John Wiley & Sons, Inc. 2007. https://doi.org/10.1002/978047....
42.
Raad H, Al-Waily M, Njim EK. Free vibration analysis of sandwich plate-reinforced foam core adopting micro aluminum powder. Physics and Chemistry of Solid State. 2022;23(4):659–668. https://doi.org/10.15330/pcss.....
43.
Jebur QH, Hamzah MN, Jweeg MJ, Njim EK, Al-Waily M, Resan KK. Modeling hyperplastic elastomer materials used in tire compounds: Numerical and experimental stud. Jurnal Teknologi, 2024;86(5). https://doi.org/10.11113/jurna....
44.
Rahmani A, Faroughi S, Friswell MI. The vibration of two-dimensional imperfect functionally graded (2D-FG) porous rotating nanobeams based on general nonlocal theory. Mechanical Systems, and Signal Processing. 2020;144. https://doi.org/10.1016/j.ymss....
45.
Neamah RA, Al-Raheem SK, Njim EK, Abboud Z, Al-Ansari LS. Experimental and numerical investigation of the natural frequency for the intact and cracked laminated composite beam. Journal of Aerospace Technology and Management. 2024;16. https://doi.org/10.1590/jatm.v....
| eISSN: | 2449-5220 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
