No Access

Influences of External Magnetic Field on Thermo-Mechanical Vibration Analysis of Nanocomposite Beam using Higher-Order Strain Gradient Theory

Department of Manufacturing Engineering, Faculty of Engineering and Technology, Annamalai University, Annamalai Nagar, Tamilnadu, India

E-mail Address: tammiraju@srkrec.ac.in

Corresponding author.

Search for more papers by this author

V. Vembu

Department of Manufacturing Engineering, Faculty of Engineering and Technology, Annamalai University, Annamalai Nagar, Tamilnadu, India

E-mail Address: vembukishal@gmail.com

Search for more papers by this author

P. Ramamurty Raju

https://orcid.org/0000-0002-7652-5693

Department of Mechanical Engineering, SRKR Engineering College, Bhimavaram, Andhra Pradesh, India

E-mail Address: dr.prmraju@gmail.com

Search for more papers by this author

G. Ganesan

Department of Manufacturing Engineering, Faculty of Engineering and Technology, Annamalai University, Annamalai Nagar, Tamilnadu, India

E-mail Address: gg_au@rediffmail.com

Search for more papers by this author

, and

S. Narendar

https://orcid.org/0000-0002-6628-8727

Defence Research and Development Laboratory, Hyderabad, Telangana State, India

E-mail Address: narendar.drdl@gov.in

E-mail Address: nanduslns07@gmail.com

Search for more papers by this author

https://doi.org/10.1142/S021945542440008XCited by:0 (Source: Crossref)

This article is part of the issue:

Special issue on Computational Structural Dynamics
Guest Editors: Saikat Sarkar and Tarun Kant

Abstract

Composite nanobeams with carbon nanotube (CNT) reinforcement are crucial components in various applications due to their unique mechanical and thermal properties. The present work investigates the frequency–aspect ratio relationship in composite nanobeams with CNT reinforcement, particularly under varying temperatures, magnetic field strengths, and Winkler elastic stiffnesses. The non-dimensional frequency variation with aspect ratio, influenced by temperature differences, reveals distinct behavior patterns. The introduction of a magnetic field alters frequency characteristics, with uniform distribution (UD) nanobeams displaying higher frequencies. The impact of Winkler elastic stiffness, temperature differences, and magnetic field strengths on frequency elucidates differing responses between UD, $X$ -type distribution (XD), and $V$ -type distribution (VD) nanobeams. Nonlocal strain gradient theory proves essential in capturing dynamic characteristics influenced by CNT distribution. These findings shed light on the intricate dynamics of composite nanobeams, providing valuable insights for the design of future nano-devices employing CNT-reinforced composite beams as fundamental elements.

Keywords:

Remember to check out the Most Cited Articles!
Remember to check out the structures

References

1. D. Salvetat and A. Rubio , Mechanical properties of carbon nanotubes: Fibers digest for beginners, Carbon 40 (2002) 1729–1734. Crossref, Google Scholar
2. B. Fiedler, F. H. Gojny, M. H. G. Wichmann, M. C. M. Nolte and K. Schulte , Fundamental aspects of nano-reinforced composites, Comp. Sci. Technol. 66 (2006) 3115–3125. Crossref, Web of Science, Google Scholar
3. J. Wuite and S. Adali , Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis, Comp. Struct. 71 (2005) 388–396. Crossref, Google Scholar
4. N. Hu, H. Fukunaga, C. Lu, M. Kameyama and B. Yan , Prediction of elastic properties of carbon nanotube reinforced composites, Proc. Royal Soc. A 461 (2005) 1685–1710. Crossref, Google Scholar
5. H. Wan, F. Delale and L. Shen , Effect of CNT length and CNT-matrix interphase in carbon nanotube (CNT) reinforced composites, Mech. Res. Communicat. 32 (2005) 481–489. Crossref, Web of Science, Google Scholar
6. Y. Han and J. Elliott , Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Comput. Mat. Sci. 39 (2007) 315–323. Crossref, Web of Science, Google Scholar
7. A. C. Eringen and D. G. B. Edelen , On nonlocal elasticity, Int. J. Eng. Sci. 10(3) (1972) 233–248. Crossref, Web of Science, Google Scholar
8. A. C. Eringen , Linear theory of nonlocal elasticity and dispersion of plane waves, Int. J. Eng. Sci. 10(5) (1972) 425–435. Crossref, Web of Science, Google Scholar
9. F. Yang, A. C. M. Chong, D. C. C. Lam and P. Tong , Couple stress based strain gradient theory for elasticity, Int. J. Solids Struct. 39 (2002) 2731–2743. Crossref, Web of Science, Google Scholar
10. M. H. Yas and N. Samadi , Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation, Int. J. Pressure Vessels Pip. 98 (2012) 119–128. Crossref, Web of Science, Google Scholar
11. S. Hui-Shen , Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Comp. Struct. 91 (2009) 9–19. Crossref, Google Scholar
12. L. W. Zhang, Z. X. Lei, K. M. Liew and J. L. Yu , Static and dynamic of carbon nanotube reinforced functionally graded cylindrical panels, Comp. Struct. 111 (2014) 205–212. Crossref, Google Scholar
13. X. Xinli, Z. Chunwei, K. Afrasyab, A. S. Tamer and A. Mohammad , Free vibrations of rotating CNTRC beams in thermal environment, Case Stud. Therm. Eng. 28 (2021) 101355. Crossref, Google Scholar
14. A. D. Ahmed, S. A. H. Mohammed, O. B. Mohamed, C. Snehashish and A. E. Mohamed , Analysis of axially temperature-dependent functionally graded carbon nanotube reinforced composite plates, Eng. Comp. 38 (2022) 2533–2554. Crossref, Google Scholar
15. D. Hamid, D. Vahid, Mi. Abbas, T. Dwayne, E. L. Thomas Jr. and J. N. Reddy , Nonlocal bending and buckling of agglomerated CNT-Reinforced composite nanoplates, Comp. Part B 183 (2020) 107716. Crossref, Google Scholar
16. M. Mohammadimehr, A. A. Monajemi and H. Afshari , Free and forced vibration analysis of viscoelastic damped FG-CNT reinforced micro composite beams, Microsyst. Technol. 26 (2020) 3085–3099. Crossref, Web of Science, Google Scholar
17. A. Pourasghar and Z. Chen , Effect of hyperbolic heat conduction on the linear and nonlinear vibration of CNT reinforced size-dependent functionally graded microbeams, Int. J. Eng. Sci. 137 (2019) 57–72. Crossref, Web of Science, Google Scholar
18. E. Farzad and D. Ali , An analytical solution for static stability of multi-scale hybrid nanocomposite plates, Eng. Comp. 37 (2021) 545–559. Crossref, Google Scholar
19. R. Hassannejad and B. Alizadeh-Hamidi , Scale-dependent thermomechanical-forced noncircular torsional vibration of lipid supramolecular nanotubes via timoshenko-gere theory, Int. J. Struct. Stab. Dynam. 23(12) (2023) 2350143. Link, Web of Science, Google Scholar
20. Z. Li, B. Lin, B. Chen, X. Zhao and Y. Li , Free vibration, buckling and dynamical stability of timoshenko micro/nano-beam supported on winkler-pasternak foundation under a follower axial load, Int. J. Struct. Stab. Dynam. 22(09) (2022) 2250113. Link, Web of Science, Google Scholar
21. Y. Ren and H. Qing , Elastic buckling and free vibration of functionally graded piezoelectric nanobeams using nonlocal integral models, Int. J. Struct. Stab. Dynam. 22(05) (2022) 2250047. Link, Web of Science, Google Scholar
22. S. K. Singh, A. Baxy, A. Banerjee, D. Bhattacharya and R. K. Varma , Flexural wave propagation in periodic Micropolar-Cosserat panels: Spectral element formulation, Europ. J. Mech./A Solids 97 (2023) 104812. Crossref, Web of Science, Google Scholar
23. S. K. Singh, A. Banerjee, R. K. Varma and S. Adhikari , Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels, Mech. Mat. 160 (2021) 103898. Crossref, Web of Science, Google Scholar
24. S. K. Singh, A. Banerjee, R. K. Varma, S. Adhikari and S. Das , Static and dynamic analysis of homogeneous Micropolar-Cosserat panels, Mech. Adv. Mat. Struct. 29(19) (2022) 2757–2768. Crossref, Web of Science, Google Scholar
25. N. Satish, S. Narendar and K. Brahma Raju , Magnetic field and surface elasticity effects on thermal vibration properties of nanoplates, Comp. Struct. 180(1) (2017) 568–580. Crossref, Google Scholar