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Vibration of three-phase hybrid viscoelastic nanocomposites beams

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Abstract

Because of the time-dependent characteristics of the polymers, carbon nanotube (CNT)-reinforced polymer nanocomposites exhibit great viscoelastic nature. Besides, it also has advantages in strength and stiffness. Therefore, a sufficient understanding of their rheological behavior is necessary if the materials are to be used in the aerospace industry. The paper’s objective is to track the vibrational responses of a multi-scale hybrid nanocomposite beam for the first time while accounting for the wavy form and the time dependency of the polymer. To do this, the homogenization process combines the mix-ture’s rule with the modified Halpin-Tsai model. The results demonstrate that assigning a large value to the polymer’s characteristic relaxation time may delay the structure’s vibration suppression. Furthermore, the results show that hybrid nanocomposites made of wavy CNTs are unable to offer optimal frequencies in comparison to those produced from straight CNTs.

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Abbreviations

E PM,E NCM,E F :

Young’s modulus

V PM,V NCM, V F :

Poisson’s ratio

ρ PM, ρ NCM, ρ F :

Mass densities

u :

Axial displacement

w b,w s :

Deflections of bending and shear modes

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Acknowledgments

This research is funded by the Grant number CN.22.11 of VNU Hanoi - University of Engineering and Technology. The authors are grateful for this support.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

    Farzad Ebrahimi & Reza Nopour

  2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

    Ali Dabbagh

  3. Faculty of Civil Engineering, VNU Hanoi - University of Engineering and Technology, 144 Xuan Thuy Street, Cau Giay, Ha Noi, Viet Nam

    Nguyen Dinh Duc

Authors
  1. Farzad Ebrahimi
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  2. Reza Nopour
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  3. Ali Dabbagh
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  4. Nguyen Dinh Duc
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Corresponding author

Correspondence to Nguyen Dinh Duc.

Additional information

Nguyen Dinh Duc is a Vice-President of Vietnamese Association in Mechanics, The Head of Laboratory of Advanced Materials and Structures, The Dean of the Faculty of Civil Engineering - VNU Hanoi, University of Engineering and Technology (UET), Program Director of Infrastructure Engineering Program of Vietnam-Japan University (VJU), and Director of Undergraduate and Postgraduate Academic Affairs Department, Vietnam National University, Hanoi. Professor Nguyen Dinh Duc is the one of the leading scientists in mechanical science and composite materials of Vietnam: https://uet.vnu.edu.vn/~ducnd/.

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Ebrahimi, F., Nopour, R., Dabbagh, A. et al. Vibration of three-phase hybrid viscoelastic nanocomposites beams. J Mech Sci Technol 37, 2311–2317 (2023). https://doi.org/10.1007/s12206-023-0407-8

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  • DOI: https://doi.org/10.1007/s12206-023-0407-8

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