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Volume 9, Number 4, November 2020

The following composition establishes a nonlocal strain gradient plate model that is essentially related to mass sensors laying on Winkler-Pasternak medium for the vibrational analysis from graphene sheets. To achieve a seemingly accurate study of graphene sheets, the posited theorem actually accommodates two parameters of scale in relation to the gradient of the strain as well as non-local results. Model graphene sheets are known to have double variant shear deformation plate theory without factors from shear correction. By using the principle of Hamilton, to acquire the governing equations of a non-local strain gradient graphene layer on an elastic substrate, Galerkin's method is therefore used to explicate the equations that govern various partition conditions. The influence of diverse factors like the magnetic field as well as the elastic foundation on graphene sheet's vibration characteristics, the number of nanoparticles, nonlocal parameter, nanoparticle mass as well as the length scale parameter had been evaluated.

Key Words
vibration; mass sensor; refined plate theory; graphene sheets; nonlocal strain gradient

(1) Sadok Mehrez:
College of Engineering at Al Kharj, Prince Sattam bin Abdulaziz University, 11942, Saudi Arabia
(2) Saeed Ali Karati:
Department of Civil Engineering, Faculty of Engineering, Universiti Malaysia, 50603, Kuala Lumpur, Malaysia
(3) Parnia Taheri DolatAbadi:
Department of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montreal, QC, H3G 1M8, Canada
(4) S.N.R. Shah:
Department of Civil Engineering, Mehran University of Engineering and Technology, SZAB Campus, Pakistan
(5) Sikander Azam:
Division of Computational Physics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
(6) Sikander Azam:
Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
(7) Majid Khorami:
Facultad de Arquitectura y Urbanismo, Universidad UTE, Quito, Ecuador
(8) Hamid Assilzadeh:
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam

An accurate plate theory for assessing sandwich structures is of interest in order to provide precise results. Hence, this paper develops Layer-Wise (LW) theory for reaching precise results in terms of buckling and vibration behavior of Functionally Graded Carbon Nanotube-Reinforced Composite (FG-CNTRC) annular nanoplates. Furthermore, for simulating the structure much more realistic, its edges are elastically restrained against in-plane and transverse displacement. The nano structure is integrated with piezoelectric layers. Four distributions of Single-Walled Carbon Nanotubes (SWCNTs) along the thickness direction of the core layer are investigated. The Differential Quadrature Method (DQM) is utilized to solve the motion equations of nano structure subjected to the electric field. The influence of various parameters is depicted on both critical buckling load and frequency of the structure. The accuracy of solution procedure is demonstrated by comparing results with classical edge conditions. The results ascertain that the effects of different distributions of CNTs and their volume fraction are significant on the behavior of the system. Furthermore, the amount of in-plane and transverse spring coefficients plays an important role in the buckling and vibration behavior of the nano-structure and optimization of nano-structure design.

Key Words
buckling; free vibration; FG-CNTRC; sandwich annular nanoplate; elastically restrained edges

(1) Farzad Kolahdouzan:
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
(2) Mohammad Mosayyebi, Faramarz Ashenai Ghasemi:
Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
(3) Reza Kolahchi:
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
(4) Seyed Rouhollah Mousavi Panah:
Faculty of Electronic Engineering, Shamsipour Technical and Vocational College, Tehran, Iran

In this article, vibration attributes of single walled carbon nanotubes based on Galerkin's method have been investigated. The influence of power law index subjected to different end supports has been overtly examined. Application of the Hamilton's variational principal leads to the formation of partial differential equations. The effects of different physical and material parameters on the fundamental frequencies are investigated for armchair and zigzag carbon nanotubes with clamped-clamped, simply supported and clamped-free boundary conditions. By using volume fraction for power law index, the fundamental natural frequency spectra for two forms of Single-Walled Carbon Nanotubes (SWCNTs) are calculated. The influence of frequencies against length-to-diameter ratios with varying power law index are investigated in detail for these tubes. MATLAB software package has been utilized for extracting tube frequency spectra. The obtained results are confirmed by comparing with available literature.

Key Words
frequency spectra; volume fraction; polynomial law; clamped support

(1) Mohamed A. Khadimallah:
Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 11942, Saudi Arabia
(2) Mohamed A. Khadimallah:
Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
(3) Muzamal Hussain, Muhammad Nawaz Naeem:
Department of Mathematics, Government College Universit Faisalabad, Punjab, Pakistan
(4) Khaled Mohamed Khedher:
Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
(5) Khaled Mohamed Khedher:
Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, Tunisia
(6) Souhail Mohamed Bouzgarrou:
Civil Engineering Department, Faculty of Engineering, Jazan University, Kingdom of Saudi Arabia
(7) Abdullah F. Al Naim:
Department of Physics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
(8) Muhammad Taj:
Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
(9) Zafar Iqbal:
Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan
(10) Zafar Iqbal:
Department of Mathematics, University of Mianwali, Punjab, Pakistan
(11) Abdelouahed Tounsi:
YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
(12) Abdelouahed Tounsi:
Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

In this article, the acoustic responses of free vibrated natural fibre-reinforced polymer nanocomposite structure have been investigated first time with the help of commercial package (ANSYS) using the multiphysical modelling approach. The sound relevant data of the polymeric structure is obtained by varying weight fractions of the natural nanofibre within the composite. Firstly, the structural frequencies are obtained through a simulation model prepared in ANSYS and solved through the static structural analysis module. Further, the corresponding sound data within a certain range of frequencies are evaluated by modelling the medium through the boundary element steps with adequate coupling between structure and fluid via LMS Virtual Lab. The simulation model validity has been established by comparing the frequency and sound responses with published results. In addition, sets of experimentation are carried out for the eigenvalue and the sound pressure level for different weight fractions of natural fibre and compared with own simulation data. The experimental frequencies are obtained using own impact type vibration analyzer and recorded through LABVIEW support software. Similarly, the noise data due to the harmonically excited vibrating plate are recorded through the available Array microphone (40 PH and serial no: 190569). The numerical results and subsequent experimental comparison are indicating the comprehensiveness of the presently derived simulation model. Finally, the effects of structural design parameters (thickness ratio, aspect ratio and boundary conditions) on the acoustic behaviour of the natural-fibre reinforced nanocomposite are computed using the present multiphysical model and highlighted the inferences.

Key Words
layered composite; multiphysics (FE/BE) modelling; radiated sound power; experimental validation

(1) Rajesh Kumar Satankar, Prashik Malhari Ramteke, Subtra Kumar Panda, Siba Shankar Mahapatra:
Department Mechanical Engineering, NIT Rourkela, Rourkela-769008, Sundergarh, Odisha, India
(2) Nitin Sharma:
School of Mechanical Engineering, KIIT Bhubaneswar, Bhubaneswar-751024, Odisha, India

In current paper, nonlocal (NLT), nonlocal strain gradient (NSGT) and Gurtin-Murdoch surface/interface (GMSIT) theories with classical theory (CT) are utilized to investigate vibration and stability analysis of Double Walled Piezoelectric Nanosensor (DWPENS) based on cylindrical nanoshell. DWPENS simultaneously subjected to direct electrostatic voltage DC and harmonic excitations, structural damping, two piezoelectric layers and also nonlinear van der Waals force. For this purpose, Hamilton's principle, Galerkin technique, complex averaging and with arc-length continuation methods are used to analyze nonlinear behavior of DWPENS. For this work, three nonclassical theories compared with classical theory CT to investigate Dimensionless Natural Frequency (DNF), pull-in voltage, nonlinear frequency response and stability analysis of the DWPENS considering the nonlocal, material length scale, surface/interface (S/I) effects, electrostatic and harmonic excitation.

Key Words
double walled piezoelectric nanosensor; Gurtin-Murdoch surface/interface; nonlocal strain gradient theory; nonlinear frequency response; complex averaging method; arc-length continuation

(1) Sayyid H. Hashemi Kachapi:
Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O. Box 484, Shariati Street, Babol, Mazandaran47148-71167, Iran

The vibrational characteristics of Multi-Phase Nanocomposite (MPC) reinforced annular/circular plate under initially stresses are presented using the state-space formulation based on three-dimensional elasticity theory (3D-elasticity theory) and Differential Quadrature Method (DQM). The MPC reinforced annular/circular plate is under initial lateral stress and composed of multilayers with Carbon Nanotubes (CNTs) uniformly dispersed in each layer, but its properties change layer-by-layer along the thickness direction. The State-Space based Differential Quadrature Method (SS-DQM) is presented to examine the frequency behavior of the current structure. Halpin-Tsai equations and fiber micromechanics are used in the hierarchy to predict the bulk material properties of the multi-scale composite. A singular point is investigated for modeling the circular plate. The CNTs are supposed to be randomly oriented and uniformly distributed through the matrix of epoxy resin. Afterward, a parametric study is done to present the effects of various types of sandwich circular/annular plates on frequency characteristics of the MPC reinforced annular/circular plate using 3D-elasticity theory.

Key Words
3D-elasticity theory; SS-DQM; singular point; MPC reinforced annular/circular plate

(1) Changlin Zhou, Ji Zhang:
School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China
(2) Yi Zhao, Yuan Fang:
China Construction Third Engineering Co., Ltd, Wuhan, Hubei, 430064, China
(3) Mostafa Habibi:
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
(4) Mostafa Habibi:
Faculty of Electrical – Electronic Engineering, Duy Tan University, Da Nang 550000, Vietnam

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