Article
Mechanics
Somnath Karmakar, S. Chakraverty
Summary: This paper aims to investigate the influence of different elastic foundations on the free vibrations of piezoelectric sandwich Euler nanobeam with flexoelectricity based on nonlocal strain gradient theory. Three different types of elastic foundations: constant, linear, and quadratic, were considered. The vibration frequencies under three different classical boundary conditions (S-S, C-S, and C-C) were obtained using the Adomian decomposition method. Additionally, the effects of piezoelectricity and flexoelectricity on the vibrations were discussed in detail.
Article
Mathematics, Applied
Kang-Jia Wang, Guo-Dong Wang
Summary: This paper investigates the time-space fractional Drinfeld-Sokolov-Wilson system and solves its solitary solutions using He's variational method and the two-scale transform. The applicability and efficiency of the approach are demonstrated through numerical results. The main advantage of the variational approach is its ability to simplify the differential equation.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Materials Science, Multidisciplinary
Pengfei Yu, Weifeng Leng, Liming Peng, Yaohong Suo, Jinquan Guo
Summary: This study investigates the dynamic flexoelectric effect in functional gradient piezoelectric nanobeams, showing that it plays a significant role in the investigation of higher-order vibration modes. The gradient index affects the dimensionless frequency of each mode, and the effective stiffness is influenced by factors such as the gradient index, piezoelectricity, and flexoelectricity. The modified electric field equilibrium equation provides valuable insights for designing energy harvesting devices at the nanometer scale.
RESULTS IN PHYSICS
(2021)
Article
Engineering, Mechanical
Hossein Vaghefpour
Summary: This study investigates the nonlinear vibration and tracking of cantilever nanoactuators made of isotropic nanodielectric materials. By deriving equations and employing control algorithms, it is demonstrated that the sliding mode controller performs better than linear controllers at the nanoscale level.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING
(2021)
Article
Thermodynamics
Hamdy M. Youssef, Eman A. N. Al-Lehaibi
Summary: In this paper, analysis was conducted on thermoelastic homogeneous isotropic nanobeams using a generalized model of viscothermoelasticity theory. The study revealed that the thickness of nanobeams and the variability of thermal conductivity have significant effects on the studied state functions.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2021)
Article
Multidisciplinary Sciences
Xue Ji
Summary: This study investigates the flexoelectric responses of intelligent components of the circular plate type in MEMS/NEMS, revealing the flexoelectric effect and stiffening effect of strain gradient. The nonlinear static bending and free vibration behaviors of the simply supported axisymmetric flexoelectric circular plate under different loads are analyzed, providing insights for promoting the application of flexoelectric intelligent components commonly encountered in engineering.
SCIENTIFIC REPORTS
(2021)
Article
Computer Science, Interdisciplinary Applications
Farzad Ebrahimi, Mahsa Karimiasl, Abhinav Singhal
Summary: This article investigates the bending of magneto-electric-elastic nanobeams using nonlocal elasticity theory and parametric analysis. The study shows that boundary conditions, nonlocal parameters, and beam geometrical parameters significantly affect the deflection of nanoscale beams.
ENGINEERING WITH COMPUTERS
(2021)
Article
Engineering, Civil
Fateme Shayestenia, Majid Ghadiri
Summary: This study presents a size-dependent electromechanical Euler-Bernoulli micro/nanobeam based on nonlocal strain gradient theory and von-Karman hypothesis. The results show that the flexoelectric and piezoelectric parameters have a significant influence on the amplitude response and dynamic instability regions.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Mathematics, Applied
Kottakkaran Sooppy Nisar, Shami Ali Mohammed Alsallami, Mustafa Inc, Muhammad Sajid Iqbal, Muhammad Zafarullah Baber, Muhammad Akhtar Tarar
Summary: In this article, the existence and exact solutions of the extended Fisher-Kolmogorov (EFK) equation are investigated. The variational method proposed by He is used to construct soliton and periodic wave solutions for the extended EFK equation, reducing the equation's order and simplifying it. The results obtained through this approach are simple and straightforward, with the graphics behavior of these solutions also being sketched in 3D, 2D, and corresponding contour representations with different parameter choices.
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
Physics, Multidisciplinary
Ahmad Haghani, Mehdi Jahangiri, Reza Ghaderi
Summary: Due to the introduction of particular responses not present in linear systems, properties of nonlinear systems can lead to inaccurate or misleading results from linear models. Therefore, studying nonlinear vibrations is crucial in structural vibration analysis. This study utilized the stress driven nonlocal theory (SDM) and the strain gradient theory (SGT) to analyze the nonlinear vibrations of a Timoshenko nanobeam. By solving the nonlinear equations of motion using the homotopy analysis method, it was found that the nonlinear natural frequency increased as the dimensionless characteristic parameter increased. The results also showed a high level of agreement with previous research using a linear frequency of Timoshenko beam model based on the SGT.
Article
Physics, Applied
Kang-Le Wang
Summary: In this paper, the shallow water wave with unsmooth boundaries is described using fractal calculus, and its exact fractal solitary wave solution is found using the variational method proposed by He. The numerical examples demonstrate the simplicity, efficiency, and convenience of the method. Additionally, the physical properties of the fractal solitary solution are elaborated through graphs, providing new insights into the fractal soliton theory.
MODERN PHYSICS LETTERS B
(2022)
Article
Engineering, Multidisciplinary
Mohammad Rezaiee-Pajand, Niloofar Rajabzadeh-Safaei
Summary: A nonlocal stress-driven model is proposed in this paper to describe the geometrically nonlinear behavior of a shallow arch under radial pressure. By considering the effects of nanoscale and geometry parameters, the nonlocal loads associated with the limit-load and bifurcation instabilities are accurately calculated. The geometric limits determining when and how the arch bifurcates are found.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2022)
Article
Multidisciplinary Sciences
Jiao Shi, Likui Yang, Jianhu Shen, Kun Cai
Summary: This study investigates the potential use of nanotubes as mass sensors by analyzing the vibration properties of a cantilever nanobeam subjected to high-speed collisions. The results demonstrate various vibrational modes and potential applications for evaluating the mass of nanoparticles.
SCIENTIFIC REPORTS
(2021)
Article
Mechanics
S. El-Borgi, P. Rajendran, M. Trabelssi
Summary: This paper investigates the free and forced vibration of a graded geometrically nonlinear Timoshenko nanobeam supported by a nonlinear foundation. By combining nonlocal and surface elasticity and using the physical neutral axis method, a new formulation for the dynamic response of the beam is proposed. The effects of various parameters on the vibration response are thoroughly studied.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Engineering, Mechanical
Farzad Ebrahimi, Mohammad Reza Barati
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING
(2019)
Article
Engineering, Electrical & Electronic
Farzad Ebrahimi, Mohammad Reza Barati
MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS
(2019)
Article
Mechanics
Seyed Sajad Mirjavadi, Behzad Mohasel Afshari, Mohammad Reza Barati, A. M. S. Hamouda
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2019)
Article
Engineering, Mechanical
Seyed Sajad Mirjavadi, Behzad Mohasel Afshari, Mohammad Reza Barati, A. M. S. Hamouda
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2020)
Article
Physics, Multidisciplinary
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Nikookar, Mohammad Reza Barati, A. M. S. Hamouda
EUROPEAN PHYSICAL JOURNAL PLUS
(2019)
Article
Physics, Multidisciplinary
Masoud Forsat, Salman Badnava, Seyed Sajad Mirjavadi, Mohammad Reza Barati, A. M. S. Hamouda
EUROPEAN PHYSICAL JOURNAL PLUS
(2020)
Article
Engineering, Mechanical
Seyed Sajad Mirjavadi, Masoud Forsat, Salman Badnava, Mohammad Reza Barati
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
(2020)
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
Materials Science, Multidisciplinary
Seyed Sajad Mirjavadi, Masoud Forsat, Salman Badnava, Mohammad Reza Barati, A. M. S. Hamouda
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING
(2020)
Article
Engineering, Mechanical
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This research focuses on the nonlinear vibration analysis of functionally graded carbon nanotubes and fiber-reinforced composite truncated conical shell segments using third-order shear deformation theory. Material properties were obtained using the Mori-Tanaka scheme, and equations were solved using Galerkin's technique and Jacobi elliptic function method. The study investigates the effects of various factors on the vibrational frequencies of the truncated conical shell.
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
(2021)
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
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)
Article
Engineering, Multidisciplinary
Tohya Kanahama, Motohiro Sato
Summary: This study theoretically explains the effect of initial deflection and initial slope on self-buckling characteristics of heavy columns and proposes a formula characterizing the self-buckling problem. The results show that the greatest height is proportional to the 2/3 power of radius, and the formula can potentially predict the height of tree-like natural structures.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Aps Selvadurai, Alexander P. Suvorov
Summary: This paper examines the torsion of a solid cylinder made of a fluid-saturated porous medium with a hyperelastic porous skeleton. It analyzes the mechanics of the twisted cylinder in both short-term and long-term behaviors, using numerical solutions and the ABAQUSTM finite element code.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
S. Kanaun
Summary: This study focuses on spherical radially transverse isotropic heterogeneous inclusions in homogeneous isotropic conductive host media. The volume integral equation for the field in the medium with an isolated inclusion subjected to a constant external field is solved using Mellin-transform technique. The method allows revealing tensor structure of the solution with precision to one scalar function of radial coordinate. The study also investigates the influence of neutral inclusions and conductivity coefficients on the effective conductivity of the composite material.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Marinos Kattis, Vassilis Tsitsos, Vassilis Karatzaferis
Summary: The proposed model utilizes continuum mechanics to describe the mechanical behavior of a weakened interface between materials with microstructure, simulating the weakened interface using a surface elastic medium adhering on either side with bulk elastic continua. The model is able to investigate the effect of a weakened interface on stress concentration around inhomogeneities embedded in an unbounded matrix of Cosserat materials.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Shixiang Zhao, Yu. V. Petrov, Yuyi Zhang, G. A. Volkov, Zejian Xu, Fenglei Huang
Summary: This paper theoretically studies the thermal softening related to stress relaxation using the incubation time approach and examines the temperature-time correspondence. The developed relaxation model of plasticity (RP model) is analyzed and compared with other constitutive models and artificial neural networks. The advantages and disadvantages of different models are discussed, and the differences between the ANN model and other constitutive models are examined.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Ivan I. Argatov, Federico J. Sabina
Summary: This study models a seismic metabarrier as a cluster of single-degree-of-freedom resonator units and considers the scattering effects on pulsed Rayleigh waves caused by the vertical displacements of the resonators and the normal contact forces. The variation of the amplitude reduction factor due to the model parameters variation is studied in detail.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)