Semi-numerical simulation for vibrational responses of the viscoelastic imperfect annular system with honeycomb core und
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ORIGINAL ARTICLE
Semi‑numerical simulation for vibrational responses of the viscoelastic imperfect annular system with honeycomb core under residual pressure Yu Bai1 · Bandar Alzahrani2 · Shahrizan Baharom3 · Mostafa Habibi4,5 Received: 3 August 2020 / Accepted: 1 October 2020 © Springer-Verlag London Ltd., part of Springer Nature 2020
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. Keywords Dynamic · Sandwich viscoelastic disk · Honeycomb core · FG · Graphene nano-platelets · GDQM
1 Introduction * Bandar Alzahrani [email protected] * Mostafa Habibi [email protected] Yu Bai [email protected] Shahrizan Baharom [email protected] 1
School of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, China
2
Department of Mechanical Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al kharj 11942, Saudi Arabia
3
Department of Civil Engineering, Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, UKM, 43600 Bangi, Selangor, Malaysia
4
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
5
Faculty of Electrical–Electronic Engineering, Duy Tan University, Da Nang 550000, Vietnam
As a matter of fact, alongside improving the performance of the applicable structures [1–5], systems [6–10], and materials [11–15] through employing the complex structures, in the last decades, researchers have discerned a novel and excellent method for enhancing the static and dynamic responses of the low-density [16] plate, beam, shell, and disk [17–22]. Drawing on this matter, honeycombed structures are presented for use in the related industry [17, 23–29]. Mukhopadhyay et al. investigated vibrational characteristics of the sandwich panel with Honeycomb
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