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Semi-numerical simulation for vibrational responses of the viscoelastic imperfect annular system with honeycomb core under residual pressure

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Abstract

This composition investigates the frequency analysis of sandwich imperfect viscoelastic disks with graphene nano-platelets (GPLs)-reinforced viscoelastic composite (GPLRVC) face sheets and honeycomb core. The honeycomb core is made of aluminum because of its high stiffness and low weight. The modified Halpin–Tsai model and rule of the mixture have been utilized to provide the effective material constant of the composite layers. Through employing Hamilton’s principle, the governing equations of the structure are accordingly discerned and resolved by utilizing the Generalized Differential Quadrature Method (GDQM). Throughout this investigation, viscoelastic properties have been modeled in accordance with Kelvin–Voigt viscoelasticity. The deflection as the function of time is capable of being resolved through employing the fourth-order Runge–Kutta numerical method. Afterwards, a parametric study is conducted to discern the effects of the FG patterns, outer to inner radius ratio, hexagonal core angle, thickness to length ratio of the GPLs, the weight fraction of GPLs, FG face sheet thickness ratio, the thickness of honeycomb core to inner radius ratio, tensile, imperfect coefficient, and in-plane force on the frequency of the sandwich viscoelastic disk with honeycomb core and FG-GPLRVC face sheet.

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Acknowledgements

This paper is supported by Shaanxi Innovation Capability Support Plan (Grant: 2020PT-027) of Shaanxi Provincial Key Research and Development Program.

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Authors and Affiliations

  1. School of Mechatronic Engineering, Xi’an Technological University, Xi’an, 710021, China

    Yu Bai

  2. Department of Mechanical Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al kharj, 11942, Saudi Arabia

    Bandar Alzahrani

  3. Department of Civil Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, UKM, 43600, Bangi, Selangor, Malaysia

    Shahrizan Baharom

  4. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Mostafa Habibi

  5. Faculty of Electrical–Electronic Engineering, Duy Tan University, Da Nang, 550000, Vietnam

    Mostafa Habibi

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  1. Yu Bai
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Bai, Y., Alzahrani, B., Baharom, S. et al. Semi-numerical simulation for vibrational responses of the viscoelastic imperfect annular system with honeycomb core under residual pressure. Engineering with Computers 38 (Suppl 5), 3699–3724 (2022). https://doi.org/10.1007/s00366-020-01191-9

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