Article
Computer Science, Interdisciplinary Applications
M. S. H. Al-Furjan, Hamed Safarpour, Mostafa Habibi, Mehran Safarpour, Abdelouahed Tounsi
Summary: This study focuses on the buckling temperature and post-buckling analysis of a functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) disk surrounded by a nonlinear elastic foundation and covered with a piezoelectric actuator. The results demonstrate the significant impact of various factors such as radius ratio, GPLs parameters, elastic foundation, applied voltage, and piezoelectric thickness on the thermal post-buckling response of the FG-GPLRC disk. Additionally, the presence of the elastic foundation appears to induce a sinusoidal effect on the post-buckling behavior of the disk.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Wenyu Zheng, Jingyi Ren, Hu Jia, Jun Xu, Yi Liu, Xifeng Yang
Summary: This research presents a nonlinear dynamic model for large oscillation and chaotic responses of a disk. The model takes into account the material properties of the disk and is solved numerically using various methods. The results show that geometric parameters and loading conditions have a significant impact on the nonlinear oscillation and chaotic motion of the disk. Additionally, the thickness of the piezoelectric layer and the weight fraction of carbon fibers also affect the system's dynamics.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
M. S. H. Al-Furjan, Mostafa Habibi, Dong Won Jung, Guojin Chen, Mehran Safarpour, Hamed Safarpour
Summary: This article develops a nonlinear dynamic model for the nonlinear frequency and chaotic responses of graphene nanoplatelet reinforced composite doubly-curved panels under external harmonic load. The study shows that factors such as pattern, radius to length ratio, harmonic load, and thickness to length ratio play important roles in the chaotic motion of the panel. The results suggest that increasing the R-1/a parameter and considering the viscoelastic foundation can lead to chaotic motion in the system, depending on the curvature shape of the panel and the type of graphene patterns used.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Physics, Multidisciplinary
Yue Liu, Xiaoguang Su
Summary: This paper extends a nonlinear two-dimensional model for large oscillation and chaotic characteristics of the annular plate coupled with a piezoelectric patch subject to external excitation. The core of the electrically structure is reinforced with graphene nanoplatelets, and Von-Karman nonlinear theory and Hamilton's principle are considered for the derivation of the governing equations and boundary conditions. The results show the important role of various factors in the nonlinear large oscillation and chaotic motion of the annular plate coupled with a piezoelectric patch, indicating that the thickness of the piezoelectric patch affects the system's nonlinear frequency and instability area.
WAVES IN RANDOM AND COMPLEX MEDIA
(2021)
Article
Engineering, Civil
M. S. H. Al-Furjan, Reza Dehini, Masoud Paknahad, Mostafa Habibi, Hamed Safarpour
Summary: This article presents the nonlinear free and forced vibration analysis of multi-scale hybrid nano-composites annular plate under hygro-thermal environment and mechanical loading, using third-order shear deformation theory and Von Karman nonlinear shell model. The research outcomes indicate that the moisture change and orientation angle parameter increase the structure's frequency, and the nonlinear parameter affects the dynamic behavior of the plate. Decreasing the structure's flexibility may lead to unstable responses.
ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
M. S. H. Al-Furjan, Mostafa Habibi, Alireza Rahimi, Guojin Chen, Hamed Safarpour, Mehran Safarpour, Abdelouahed Tounsi
Summary: A nonlinear dynamic model is developed for the frequency and chaotic responses of a multi-scale hybrid nano-composite reinforced disk. The effects of different external loads and FG patterns on the motion response of the structure are investigated. It is recommended to choose plates with lower thickness relative to the outer radius for better vibration performance.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mathematics, Applied
Sun-Hye Park
Summary: In this paper, we investigate a blow-up result of solutions to a Von Karman equation with nonlinear dissipation, logarithmic source effect, and acoustic boundary conditions. Due to the presence of nonlinear dissipation instead of linear dissipation, the concavity method is not applicable. Therefore, we establish a blow-up result of solutions with some positive initial energy using the energy method.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Engineering, Marine
Jian Li, Peng Wang, Xiaoyi An, Da Lyu, Ruixuan He, Baoshou Zhang
Summary: This paper investigates the performance of flapping foils, showing that oncoming vortices facilitate the flapping motion while increasing heaving amplitude can lead to a decrease in propelling efficiency. Additionally, using a symmetric NACA0050 foil type and increasing thickness can result in higher efficiency. The research introduces a new parameter, the energy transforming ratio (R-ET), to explain the energy transforming procedure of the flapping foil.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2021)
Article
Mechanics
M. S. H. Al-Furjan, Bandar Alzahrani, Lijun Shan, Mostafa Habibi, Dong Won Jung
Summary: This study investigates the vibration behavior of a multi-scale hybrid nanocomposite annular system under hygrothermal conditions. By analyzing displacement strain and using nonlinear shell theory, the vibration characteristics are obtained. The results of this study are significant for structural health monitoring.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Construction & Building Technology
Jing Pan, Zhe Jia, Guanghua Zhang
Summary: Organic solar cells, which utilize natural polymers to convert solar energy to electricity, are considered as potential replacements for conventional solar cells due to their green energy production and less toxic materials disposal. However, their properties, including mechanical strength and stability, are not well understood. In this study, the chaotic responses of organic solar cells were explored by analyzing a specific type of cell constructed from layers of different thicknesses under various conditions. The results showed that the relative glass layer thickness had a significant effect on the cell's chaotic behavior, with higher relative thickness resulting in less chaotic responses. Additionally, a parameter study examined the effects of nonlocality and relative thicknesses on the natural frequency of the cell structure.
STEEL AND COMPOSITE STRUCTURES
(2023)
Article
Mechanics
Zhaofeng Liu, Xinyin Wu, Man Yu, Mostafa Habibi
Summary: In this study, the nonlinear forced vibration analysis of a graphene nanoplatelets reinforced composite (GPLRC) annular plate under hygro-thermal environment and mechanical loading is presented. The research reveals that the moisture change, orientation angle parameter, and rigidity of the boundary conditions affect the structure's frequency. The nonlinear parameter does not have any effects on the maximum amplitudes of resonant vibration. Additionally, decreasing the structure's flexibility can lead to unstable responses.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mathematics, Applied
R. H. W. Hoppe
Summary: This paper presents a space-time adaptive C-0 Interior Penalty Discontinuous Galerkin (C(0)IPDG) approximation method for the dynamic quasi-static von Karman equations, including homogeneous Dirichlet boundary conditions and an equilibrated a posteriori error estimator. The backward Euler scheme is used for time discretization, and the C(0)IPDG method is derived from a six-field formulation of the finite element discretized von Karman equations. The equilibrated a posteriori error estimator provides an upper bound for the discretization error in terms of associated energy functionals. It requires the construction of equilibrated fluxes and moment tensors computed on local patches around interior nodal points.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Physics, Multidisciplinary
Tahira Jamal, Adil Jhangeer, Malik Zawwar Hussain
Summary: This paper demonstrates the effectiveness of the extended direct algebraic approach in generating solutions for traveling and solitary waves from higher-order nonlinear evolution equations, specifically the Novikov-Veselov equation. Various types of solutions have been obtained by choosing specific parameter values and visualized using suitable physical variables in 3D and 2D plots. The paper also investigates the dynamic behavior, chaotic and quasiperiodic behaviors of these solutions, and further explores the periodic and quasiperiodic behaviors under different initial conditions through sensitivity and multistability analysis.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Chemistry, Physical
Morteza A. Sharif, K. Ashabi
Summary: A quasi-classical model is proposed for analyzing the nonlinear dynamics of a surface plasmon (SP) nanolaser (spaser) system, showing both stable and unstable states in the system. The simulation results indicate that the instability in the system dynamics follows characteristics of Duffing map and Henon map rather than Ikeda map. It is deduced that damping amplitude of SPs can be compensated by increasing feedback depth/nonlinear coefficient to induce chaotic regime in the system.
Article
Optics
Xiaobei Fan, Xueping Ren, Jing Wang, Kaihua Shao, Qingqing Wang, Yuexing Zhao, Hongjuan Meng, Yuren Shi
Summary: In this paper, the dynamical behaviors of a quasi-2D Bose-Einstein condensate with three-body interactions under a moving obstacle potential are numerically studied. Various vortex structures are discovered, and the parameter regions for the formation of a Bernard-von Karman vortex street are determined.
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Yinan Zhao, Zohre Moradi, Mohsen Davoudi, Jinwu Zhuang
Summary: This research investigates the bending responses of hybrid laminated nanocomposite reinforced axisymmetric circular/annular plates under mechanical loading and various types of initially stresses using three-dimensional elasticity theory. The study utilizes the state-space approach and differential quadrature method to analyze the bending characteristics of the current structure considering different boundary conditions. A parametric study shows that increasing the values of Winkler and Pasternak factors improves the system's static stability and bending behavior.
ENGINEERING WITH COMPUTERS
(2022)
