Article
Computer Science, Interdisciplinary Applications
Pei-Liang Bian, Hai Qing
Summary: In this study, a new FEM framework was developed to simulate the mechanical responses of the Euler-Bernoulli beam with a two-phase local/nonlocal mixed model. The model showed efficient convergence, simplicity of expressions, and flexibility in handling various boundary conditions and external loads.
ENGINEERING WITH COMPUTERS
(2023)
Article
Acoustics
Farshid Farhadipour, Ahmad Mamandi
Summary: In this paper, the wave propagation analysis of a cantilever rotating nanobeam modeled as a thin beam based on the Euler-Bernoulli theory on a Pasternak foundation has been investigated using the nonlocal theory of elasticity. The governing partial differential equation of motion for a uniform rotating nanobeam is derived using the Hamilton principle considering the nonlocal parameter of small scale effect. The Spectrum and dispersion relations of non-dimensional wave number are obtained analytically. The effect of changes of different parameters including nonlocal scale parameter, non-dimensional rotational speed, non-dimensional rotational wave frequency ratio, and shear stiffness of the Pasternak foundation on the wave dispersion behavior of the non-dimensional wave number and phase and group speeds dispersions for the rotating nanotube have been studied. It is observed that the wave dispersion characteristics of the rotating nanobeam are extremely influenced by rotational speed, wave number, nonlocal length scale parameter, and shear stiffness of the Pasternak foundation. Moreover, the propagated flexural wave has been shown to exhibit non-dispersive behavior at very high rotational speeds.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Computer Science, Interdisciplinary Applications
Arash Rahmani, Babak Safaei, Zhaoye Qin
Summary: A novel model is developed to accurately describe wave propagation behavior of rotating viscoelastic nanobeams under thermal effects, considering particle interactions and size dependency effects. The study comprehensively discusses the effects of nonlocal parameter to length scale ratios, Winkler-Pasternak coefficients, thermal gradient, and other factors on wave propagation in viscoelastic nanobeams by analyzing different wave propagation patterns.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mathematics, Applied
A. Rahmani, S. Faroughi, M. Sari
Summary: The present research focuses on analyzing wave propagation on a rotating viscoelastic nanobeam supported on a viscoelastic foundation, taking into account thermal gradient effects. A comprehensive and accurate model of the viscoelastic nanobeam is constructed using a novel nonclassical mechanical model. The motion equations for the nanobeam are obtained based on the general nonlocal theory (GNT), Kelvin-Voigt model, and Timoshenko beam theory. The effects of various parameters on wave dispersion are illustrated and discussed in detail, including nonlocal parameters, damping, foundation coefficients, rotating speed, and thermal gradient.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2023)
Article
Mechanics
S. Ceballes, B. E. Saunders, A. Abdelkefi
Summary: The study focuses on extending the reliable reduced-order models of a carbon nanotube-based mass sensor using Timoshenko beam theory and Eringen's nonlocal theory. The discrepancies and limits of applicability between Timoshenko and Euler-Bernoulli models are deeply explored, showing that the nonlocal Timoshenko-based model is valuable for mass sensing applications, especially for short and stout structures. Researchers can utilize these findings for the design, modeling, and analysis of nanoscale sensors and resonators.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Engineering, Mechanical
Kun Huang, Benning Qu, Wei Xu, Ji Yao
Summary: This paper proposes two new nonlinear nonlocal Euler-Bernoulli theories to model the mechanical properties of nanobeams and investigates the static bending and forced vibrations of single-walled carbon nanotubes. The results show that both material nonlinearity and nonlocal effects have significant impacts on the mechanical properties of single-walled carbon nanotubes.
NONLINEAR DYNAMICS
(2022)
Article
Chemistry, Multidisciplinary
Kun Huang, Wei Xu
Summary: Although the individual effects of small-scale effect and thermal stress on nanobeams have been studied, their combined effects and the temperature dependence of elastic parameters have not been thoroughly investigated. In this paper, a new nonlocal nonlinear Euler-Bernoulli theory is proposed to model the mechanical properties of nanobeams, considering both small-scale effect and thermal stress, as well as the temperature dependence of Young's modulus. The study demonstrates that thermal stress and temperature dependence have a significant influence on the mechanical properties of slender nanobeams, compared to the small-scale effect induced by the nonlocal effect. Neglecting the temperature effect may lead to qualitative errors in the analysis of slender nanobeams.
Article
Mathematics, Applied
Omer Civalek, Busra Uzun, Mustafa Ozgur Yayli
Summary: This study investigates the size-dependent stability analysis of a restrained nanobeam with functionally graded material using nonlocal Euler-Bernoulli beam theory and Fourier series. The research highlights the influences of various parameters on the critical buckling load of the functionally graded nonlocal beam and provides an efficient analytical solution for the buckling response of the nanobeam.
COMPUTATIONAL & APPLIED MATHEMATICS
(2022)
Article
Engineering, Mechanical
Jianshi Fang, Bo Yin, Xiaopeng Zhang, Bin Yang
Summary: This study investigates the free vibration of rotating functionally graded nanobeams based on nonlocal elasticity theory, considering the thickness-wise material gradient variation of the nanobeam. By introducing a second-order axial shortening term, the governing equations of motion for the rotating nanobeams are derived and solved through the Galerkin method. Results show that rotating nanobeams with high angular velocity may have larger fundamental frequencies compared to stationary nanobeams, and demonstrate axial stretching-transverse bending coupled vibration characteristics.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2022)
Article
Multidisciplinary Sciences
Ramzy M. Abumandour, Mohammed A. El-Shorbagy, Islam M. Eldesoky, Mohamed H. Kamel, Hammad Alotaibi, Ahmed L. Felila
Summary: This paper investigates the bending behavior of nanobeams under different forces and boundary conditions. The results show that the deflection of the nanobeam is influenced by parameters such as the scaling effect, cross-sectional area variation, and the presence of elastic foundations. Several key deductions are made based on the analysis of these parameters.
Article
Materials Science, Multidisciplinary
Yishuang Huang, Peijun Wei, Yuqian Xu, Yueqiu Li
Summary: The study investigates flexural wave propagation in a microbeam using a nonlocal strain gradient model with fractional order derivatives, demonstrating the model's flexibility in capturing dispersive properties. Numerical comparisons with integer order models and molecular dynamic simulations validate the effectiveness of the fractional order nonlocal strain gradient model.
MATHEMATICS AND MECHANICS OF SOLIDS
(2021)
Article
Computer Science, Interdisciplinary Applications
Mahsa Najafi, Isa Ahmadi
Summary: In this paper, an efficient method based on nonlocal elasticity theory and Layerwise theory is proposed for the analysis of bending, buckling, and vibration of functionally graded nanobeam. The method takes into account the transverse shear and normal strains of nanobeam and the small-scale effect. The proposed theory is validated by comparing with other theories and shows accurate results in predicting vibration, buckling, and bending of nanobeams.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mechanics
Chinika Dangi, Roshan Lal, N. Sukavanam
Summary: A mathematical model for bi-directional functionally graded Euler-Bernoulli nanobeams has been developed, considering nonlocal strain gradient theory and Gurtin-Murdoch surface elasticity theory.
A parametric study shows that the surface effect has a significant impact on the frequencies of nanobeams, especially at lower thicknesses.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Mechanics
A. A. Pisano, P. Fuschi, C. Polizzotto
Summary: This paper presents a theory of Erigen's differential nonlocal beams of elastic material, independent of the original integral formulation. Concepts sparsely known from the literature are utilized within a more general context, showing the ability to predict softening behavior in a set of benchmark beam problems. Comparisons with other theories are also provided, demonstrating the effectiveness of the proposed theory.
Article
Nanoscience & Nanotechnology
Indronil Devnath, Mohammad Nazmul Islam, Minhaj Uddin Mahmood Siddique, Abdelouahed Tounsi
Summary: This paper presents explicit analytical equations for computing the static displacements of nanobeams using the nonlocal elasticity theory of Eringen within the framework of Euler Bernoulli and Timoshenko beam theories. The derived equations match exactly with those obtained by other analytical methods and the computed results are in excellent agreement with those obtained by other numerical methods, validating the accuracy of the proposed method.
ADVANCES IN NANO RESEARCH
(2022)
Article
Mechanics
Farzad Ebrahimi, Sepehr Bayrami Sedighi
Summary: In this paper, a sandwich composite plate with a tunable magneto-rheological (MR) fluid core was used to analyze wave propagation. The effects of magnetic field and core-to-top layer thickness ratio on the wave dispersion characteristics were investigated. The results showed that the magnetic field intensity was the most important factor in changing the wave dispersion characteristics, and increasing the core-to-top layer thickness ratio led to a decrease in wave frequency.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Reza Asrari, Farzad Ebrahimi, Mohammad Mahdi Kheirikhah, Keivan Hosseini Safari
Summary: This article investigates the buckling characteristics of a functionally graded magneto-electro-thermo-elastic nanoshell based on the nonlocal strain gradient theory. The nanoshell is subjected to external fields, and the governing equations are derived and solved using Galerkin's approach, exploring the dependence of buckling behavior on various factors.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This study investigates the nonlinear free vibrations of porous functionally graded annular spherical shell segments and highlights the factors affecting the vibration characteristics.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This article investigates the nonlinear vibration of variable thickness cylindrical panels made of multi-scale composite materials. The study defines the elastic properties of the materials and considers the changes in panel thickness. By using Jacobi elliptic functions to solve the governing equations, the exact frequency-amplitude curves of the panels are obtained. The study also examines the effects of various factors on the frequency-amplitude curves.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This research examines the nonlinear free vibration behavior of truncated conical shell segments made from multi-scale epoxy/carbon nanotube/fiberglass material. A 3D Mori-Tanaka micro-mechanic method is used to define the hybrid material properties by incorporating random dispersion of carbon nanotubes and parallel alignment of glass fibers. The study focuses on the effects of fiber volume, fiber directions, semi-vertex angle, CNT weight fraction, and CNT aspect ratio on the nonlinear free vibrations of the multi-scale truncated conical shell segments.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Dabbagh
Summary: This study conducts a free oscillation analysis on shells made of multi-scale hybrid nanocomposites, focusing on the destructive effect of nanofiller agglomeration on the system's dynamics. The equivalent material properties of the hybrid nanocomposite are obtained through a bi-level micromechanical procedure. The influence of agglomerated carbon nanotubes (CNTs) on the stiffness of the nanocomposite is considered using the Eshelby-Mori-Tanaka method. The governing equations for the system are derived, and the natural frequencies are obtained using Galerkin's method. The study reveals that hybrid nanocomposite shells may experience resonance phenomenon in low-frequency range, especially when the impact of CNTs' aggregation is neglected.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Seyfi
Summary: This paper investigates the wave propagation analysis of multi-scale hybrid nanocomposite plates, taking into account the influence of nanoparticle aggregation. Micromechanical methods are used to calculate the effective material properties, while a refined shear deformation theory is implemented for motion relations. The governing equations are derived using the principle of Hamilton and solved analytically. The effects of various parameters on phase velocity and wave frequency are examined, showing that the mechanical response decreases when nanotubes are covered by clusters.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Seyfi
Summary: This paper mainly focuses on analyzing the wave propagation of sigmoid functionally graded (SFG) piezoelectric nanobeams on an elastic foundation using the nonlocal elasticity theory. The small-scale effect is considered by employing Eringen's nonlocal elasticity theory (ENET). Zinc oxide and lithium niobate are assumed to be the constituent materials of the nanoscale structure. The nonlocal governing equations of the piezoelectric nanobeam are derived using Hamilton's principle and the Euler-Bernoulli beam theory, and then solved analytically. The effects of various parameters on the wave frequency and phase velocity of the SFG piezoelectric nanobeam are examined and presented in a series of illustrations.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
M. S. H. Al-Furjan, Mostafa Habibi, Farzad Ebrahimi, Kianoosh Mohammadi, Hamed Safarpour
Summary: This paper investigates the wave propagation behavior of a high-speed rotating laminated nanocomposite cylindrical shell using classic, strain gradient, nonlocal and nonlocal strain gradient theories. The results show that wave number, angular velocity, and different types of laminated composites have a significant impact on the phase velocity of the nanocomposite structure.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Mechanics
Farzad Ebrahimi, Ali Dabbagh, Abbas Rastgoo
Summary: This paper investigates the buckling problem of a multi-scale hybrid nanocomposite shell for the first time while the cylinder is supposed to be rested on an elastic substrate. The effects of nanofillers' agglomeration and the equivalent material properties of the carbon nanotube-reinforced (CNTR) nanocomposite are studied. The results provide insights into the failure behavior and propose strategies to enhance the buckling resistance of the nanocomposite structure.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Seyfi, Mostafa Nouraei, Parisa Haghi
Summary: The study investigates wave propagation in simply supported functionally graded beams exposed to magneto-thermal environments and embedded on two-parameter elastic foundation. The influence of various parameters on wave frequency and phase velocity of the beams is compared and thoroughly discussed to highlight key findings.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Computer Science, Interdisciplinary Applications
M. S. H. Al-Furjan, Seyedeh Yasaman Bolandi, Mostafa Habibi, Farzad Ebrahimi, Guojin Chen, Hamed Safarpour
Summary: This study presents critical angular velocity, critical velocity of fluid flow, and vibration control analysis of a rotating multi-hybrid nanocomposite reinforced cylindrical microshell. By utilizing a non-classical model, various factors such as Coriolis and centrifugal effects, strains and stresses, and external voltage are considered. The study also applies the rule of mixtures and a modified Halpin-Tsai theory for elasticity modulus, and utilizes a Proportional-Derivative (PD) controller for sensor output control.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Mohammad Reza Barati, Hossein Shahverdi
Summary: In this article, the nonlinear free/forced vibrations of a plate undergoing large deflection and moderate rotation were investigated using Jacobi elliptic functions. The results showed that the conventional approximate solutions based on single-harmonic assumption were inadequate, while the Jacobi elliptic function method considered higher-order harmonics and provided a more accurate solution.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Engineering, Chemical
Mohammad Reza Barati, Hossein Shahverdi, Behzad Hakimelahi
Summary: The research examines the nonlinear free/forced vibrational behavior of a sandwich plate with graphene platelet reinforced face sheets, proposing the use of GPL-reinforced nanocomposites to enhance mechanical performance. The study finds that the dispersion type, amount, and thickness of GPL in the face sheets can affect the free and forced vibrations of the honeycomb sandwich panel.
TRANSPORT IN POROUS MEDIA
(2022)
Article
Physics, Multidisciplinary
Mohammad Reza Barati, Hossein Shahverdi
Summary: This paper obtained the material properties of architected meta-material plates with different cell patterns through numerical calibration. An artificial neural network was developed to derive a meta-material shape factor for all possible cell geometries. Finite element simulations confirmed the theoretical model and parameter studies examined the influences of the periodic design patterns.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)