VIBRATION OF SANDWICH BEAMS REINFORCED BY CARBON NANOTUBES UNDER A MOVING LOAD

Authors

  • Thom Tran Institute of Mechanics
  • Hien Thi Trinh
  • Kien Dinh Nguyen

DOI:

https://doi.org/10.15625/2525-2518/59/5/15866

Keywords:

Sandwich beam, carbon nanotube reinforcement, third-order shear deformation theory, moving load, vibration analysis.

Abstract

This paper studies vibration of sandwich beams reinforced by carbon nanotubes (CNTs) under a moving point load. The core of the beams is homogeneous while their two faces are of carbon nanotube reinforced composite material. The effective properties of two face sheets are determined by extended rule of mixture.  A uniform distribution (UD) and four different types of functionally graded (FG) distributions, namely FG-X, FG-FG-V, FG-O, are considered. Based on a third-order shear deformation theory, a finite element formulation is derived and used to compute the vibration characteristics of the beams. 

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Author Biography

Thom Tran, Institute of Mechanics

Department of Solid Mechanic

References

Ke L. -L., Yang J. and Kitipornchai S. - Nonlinear free vibration of functionally graded carbon nanotubereinforced composite beams, Compos. Struct. 92 (2010) 676–683.

Ke L. -L., Yang J. and Kitipornchai S. - Dynamic stability of functionally graded carbon nanotube reinforced composite beams, Mech. Adv. Mater. Struct. 20 (2013) 28–37.

Yas M. H. and Heshmati M. - Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load, Appl. Math. Model. 36 (2012) 1371- 94.

Yas M. H. and Samadi N. - Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation, Int. J. Pressure Vessels Pip. 98 (2012) 119-128.

Shen H. -S. and Xiang Y. - Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments, Eng. Struct. 56 (2013) 698–708. doi:10.1016/j.engstruct.2013.06.002

Ansari R., Faghih Shojaei M., Mohammadi V., Gholami R. and Sadeghi F. - Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams, Compos. Struct. 13 (2014) 316–327.

Lin F. and Xiang Y. - Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories, Appl. Math. Model. 38 (2014) 3741–3754.

Nejati M., Eslampanah A. and Najafizadeh M. - Buckling and Vibration Analysis of Functionally Graded Carbon Nanotube-Reinforced Beam Under Axial Load, Int. J. Appl. Mech. 8(1) (2016) 1650008. https://doi.org/10.1142/S1758825116500083

Wu H. L., Yang J. and Kitipornchai S. - Nonlinear vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections, Compos. Part B: Eng. 90 (2016) 86–96. https://doi.org/https://doi.org/10.1016/j.compositesb.2015.12.007

Shafiei H. and Setoodeh A. R. - Nonlinear free vibration and post-buckling of FG-CNTRC beams on nonlinear foundation, Steel. Compos. Struct. 24 (2017) 65–77. https://doi.org/10.12989/scs.2017.24.1.065

Mohseni A. and Shakouri M. - Vibration and stability analysis of functionally graded CNT-reinforced composite beams with variable thickness on elastic foundation, Proc. IMechE. Part L: J. Materials: Design and Applications, 233(2) (2019) 1–12.

Wu H. and Kitipornchai S. - Free vibration and buckling analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets, Int. J. Struct. Stab. Dyn. 15(7) (2015) 1540011. DOI: 10.1142/S0219455415400118

Ebrahimi F. and Farazmandnia N. - Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory, Mech. Adv. Mater. Struct. 24 (2017). https://doi.org/10.1080/15376494.2016.1196786

Nguyen D.K., Nguyen Q.H., Tran T.T. and Bui V.T. - Vibration of bi-directional functionally graded Timoshenko beams excited by a moving load, Acta Mech. 228 (2017) 141-155.

Vu T.A.N, Le T.N.A. anf Nguyen D.K. – Vibration of two-directional functionally graded sandwich beams traversed by a harmonic load, Vietnam J. Sci. Tech. 58(6) (2020) 760-775.

Shi G. - A new simple third-order shear deformation theory of plates, Int. J. Solids Struct. 44 (2007) 4399-417.

Shi G., Lam K. Y. and Tay T. E. - On efficient finite element modeling of composite beams and plates using higher-order theories and an accurate composite beam element, Compos. Struct. 41 (1998) 159-165.

Han Y. and Elliott J. - Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Comp. Mater. Sci. 39(2) (2007) 315–323.

Olsson M. - On the fundamental moving load problem, J. Sound Vib. 145 (1991) 229–307.

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Published

2021-10-26 — Updated on 2021-11-08

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How to Cite

Tran, T., Trinh, H. T., & Nguyen, K. D. (2021). VIBRATION OF SANDWICH BEAMS REINFORCED BY CARBON NANOTUBES UNDER A MOVING LOAD. Vietnam Journal of Science and Technology, 59(5). https://doi.org/10.15625/2525-2518/59/5/15866 (Original work published October 26, 2021)

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Section

Mechanical Engineering - Mechatronics