Article
Mechanics
Yu-fang Zheng, De-yong Qu, Li-chuan Liu, Chang-ping Chen
Summary: In this study, a nonlinear bending model of the nonlocal three-layer magneto-electro-elastic (MEE) laminated nanobeam resting on elastic foundation is established using Reddy's third-order shear deformation theory (RTSDT) and nonlocal elasticity theory. The model considers the geometrically nonlinear equations proposed by von Karman and also takes into account the effects of electric and magnetic potentials in the laminated nanobeam through Maxwell's magnetic-electro equations and boundary conditions. The governing equations are re-expressed in a dimensionless form and simplified using the Galerkin method. The study explores the effects of foundation parameters, nonlocal parameter, stacking sequence, external electric voltage and external magnetic potential on the bending behaviors of MEE laminated nanobeams.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2023)
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
Mohammad Arefi, Marco Amabili
Summary: This paper investigates the three-dimensional magneto-electro-elastic bending and buckling analyses of three-layered doubly curved nanoshells based on nonlocal elasticity theory. The kinematic relations and governing equations are developed, and a parametric analysis is performed to examine the influence of various factors on the responses of the nanoshells.
COMPOSITE STRUCTURES
(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
Engineering, Mechanical
Yousef Gholami, Reza Ansari, Raheb Gholami, Fatemeh Sadeghi
Summary: This paper develops a size-dependent nanoplate model to describe the free vibration and buckling behaviors of magneto-electro-thermo-elastic (METE) rectangular nanoplates. The model considers external electric voltage, external magnetic potential, and uniform temperature rise. The model has the advantages of not requiring a correction factor and being applicable to thick nanoplates. Numerical results show that the frequency and critical buckling load of nanoplates are mainly influenced by magneto-electro-mechanical loadings, while they are less affected by thermal loading.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2022)
Article
Mechanics
Mohamed-Ouejdi Belarbi, Mohammed-Sid-Ahmed Houari, Ahmed Amine Daikh, Aman Garg, Tarek Merzouki, H. D. Chalak, Hicham Hirane
Summary: An efficient nonlocal finite element model was developed to study the bending and buckling behavior of functionally graded nanobeams. The new theory provides accurate transverse shear stress distribution without the need for correction factors, showing high accuracy and convergence rate. Detailed numerical studies validated the performance and reliability of the proposed model.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Xianhui Wang, Yaohui Chen, Jiangong Yu, Yanwei Liu, Bo Zhang, Hongliang Zhou
Summary: This paper investigates the propagation of plane waves and energy dissipation in sandwiched FGM nanoplates using the extended Legendre polynomial series approach. It is found that the nonlocal effect has consistent reflection and transmission behavior for P waves, but opposite reflection behavior for SV waves, while also increasing the dissipation.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
Hamid Reza Analooei, Mojtaba Azhari, Hamzeh Salehipour
Summary: In this study, thermo-electro-mechanical analysis of quadrilateral and triangular piezoelectric nanoplates was conducted using nonlocal theory and Kirchhoff plate theory. It was found that small-scale effect plays a significant role in the buckling and vibration behavior of piezoelectric nanoplates.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mathematics, Applied
Hayri Metin Numanoglu, Hakan Ersoy, Bekir Akgoz, Omer Civalek
Summary: This study investigates the size-dependent thermo-mechanical vibration analysis of nanobeams by implementing Hamilton's principle and the stress equation of nonlocal elasticity theory. The finite element method is used to solve the eigenvalue problem and derive stiffness and mass matrices. Nonlocal finite element method is emphasized for analyzing the vibration behavior of nanobeams under different boundary conditions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Chemistry, Multidisciplinary
Masoumeh Soltani, Farzaneh Atoufi, Foudil Mohri, Rossana Dimitri, Francesco Tornabene
Summary: This study addresses the flexural-torsional stability of functionally graded nonlocal thin-walled beam-columns with a tapered I-section, using numerical methods to determine the buckling loads and influence of various parameters on the structural system. The results could serve as valid benchmarks for further computational validations of similar nanosystems.
Article
Mathematics, Applied
Rajendran Selvamani, Francesco Tornabene, Dumitru Baleanu
Summary: The present study investigates the two phase local/nonlocal deformation and dynamics of thermo electrical composite nanobeam reinforced with graphene oxide powder (GOP). The results highlight the significant effects of GOP weight fraction, two phase parameter, external electric voltage, and temperature difference on the frequency of the composite beam.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Mechanics
H. M. Numanoglu, H. Ersoy, O. Civalek, A. J. M. Ferreira
Summary: This article examines the free thermal vibration analysis of nanobeams surrounded by an elastic matrix using nonlocal elasticity and Timoshenko beam theories. The equation of motion for free vibration is solved by analytical method, and a weighted residue-based finite element formulation is developed for boundary conditions other than simply supported nano beams. Numerical results show the high accuracy of the nonlocal finite element formulation and the effects of size dependency and environmental factors on the dynamic behavior of nanobeams are discussed in detail.
COMPOSITE STRUCTURES
(2021)
Article
Acoustics
M. Ghassabi, F. Motaharifar, R. Talebitooti
Summary: This paper investigates the sound propagation through a two-layer sandwich plate coated with carbon nanotubes and a thin layer of magneto-electro-elastic materials. The governing equations for each layer are derived based on the three-dimensional elasticity theory, and the relationship between the motion equations and electric and magnetic potentials is established. The effective properties of the nanocomposite layer are determined using the rule of mixture. The results show that the addition of a thin coating layer significantly improves the sound insulation in the sandwich plate, and considering electromagnetic boundary conditions enhances the sound transmission loss in the stiffness region.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Multidisciplinary
Yu-fang Zheng, Li-Chuan Liu, De-yong Qu, Chang-ping Chen
Summary: This article presents the nonlinear postbuckling behavior of magneto-electro-thermo-elastic (METE) laminated microbeams. Based on the modified couple stress theory and Reddy's three-order shear deformation theory, along with the von Karman geometric nonlinearity, the nonlinear static model of METE laminated microbeam is established. The nonlinear governing equations and boundary conditions are derived using the principle of virtual work principle. An analytical method is then used to describe the nonlinear postbuckling behavior of METE laminated microbeam with simple supported and clamped boundary conditions. Numerical examples are provided to reveal the effects of various parameters on the critical buckling load and postbuckling response, as well as the distribution of magneto-electric potential through the thickness direction of the microbeam with different lay-up modes.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Multidisciplinary
Yiwen Ni, Jiabin Sun, Junlin Zhang, Zhenzhen Tong, Zhenhuan Zhou, Xinsheng Xu
Summary: An accurate buckling model is proposed for the MEE composite cylindrical shell under HTMEE loads, considering non-uniform pre-buckling effects. Nonlinear governing equations involving HTMEE multi-physical coupling effects are derived based on HSDT and von Karman geometrical nonlinearity. The critical buckling stresses and analytical buckling modes for both axisymmetric and non-axisymmetric buckling are obtained through the Galerkin method.
APPLIED MATHEMATICAL MODELLING
(2023)
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
Ali Shokrgozar, Aria Ghabussi, Farzad Ebrahimi, Mostafa Habibi, Hamed Safarpour
Summary: In this study, the stability of a cylindrical microshell reinforced by graphene nanoplatelets under axial load is investigated, taking into account the viscoelastic foundation and nonlocal strain gradient theory. The research considers the effects of various boundary conditions and explores the impact of viscoelasticity, strain-stress size-dependent parameters, and other factors on the stability of the microshell. The results provide valuable insights for the design and fabrication of microactuators and microsensors.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Computer Science, Interdisciplinary Applications
Ali Dabbagh, Abbas Rastgoo, Farzad Ebrahimi
Summary: This paper analyzes the post-buckling behaviors of multi-scale hybrid nanocomposite beam-type structures manufactured from carbon fibers and carbon nanotubes, considering the influences of agglomeration phenomenon and initial deflection. Nonlinear governing equations are derived based on the combination of the virtual work's principle, von Karman hypothesis, and Euler-Bernoulli beam theory, solved analytically using Galerkin's method under different boundary conditions to show the significant impact of tailoring agglomeration parameters on stability response.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Ali Shariati, Farzad Ebrahimi, S. Hamed S. Hosseini, Ali Toghroli, S. Sedighi Bayrami
Summary: This article investigates the effect of nanoflow on the nonlinear dynamic instability of graphene sheets under parametric excitation. By combining nonlocal elasticity and nonlinear von Karman theories, the governing equation of motion is derived, and a nonlinear Mathieu-Hill equation is established to determine the bifurcations and regions of dynamic instability. The main conclusion is that nanoflow directly influences the amplitude response of the system. This study provides valuable information for future research in the field of nano electromechanical systems.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Computer Science, Interdisciplinary Applications
Saeedeh Qaderi, Farzad Ebrahimi
Summary: In this paper, the vibration behavior of a composite plate reinforced with graphene platelets on a viscoelastic foundation in a thermal environment is examined using a higher-order shear deformation theory. The material properties of the composite plate reinforced with graphene platelets are determined using the Halpin-Tsai model. The Euler-Lagrange equations of the composite plate are obtained using Hamilton's principle and Navier's method is used to analyze and solve the problem. The effects of various parameters on the vibrational reaction of the structure, such as geometry, graphene platelet weight fraction, temperature changes, and viscoelastic foundation, are analyzed.
ENGINEERING WITH COMPUTERS
(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
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)
