Article
Mechanics
Le Thi Nhu Trang, Hoang Van Tung
Summary: This article analyzes the postbuckling behavior of carbon nanotube reinforced composite panels under uniform temperature rise, which is of considerable importance in engineering practice, especially in aerospace structures. The study reveals that curvature of panel, tangential constraints of edges, and initial geometrical imperfection can lead to changes in the buckling response. Numerical analyses also indicate different influences on the postbuckling behavior of thermally loaded nanocomposite panels.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Materials Science, Composites
N. D. Anh, Nguyen Van Thinh, Hoang Van Tung
Summary: This paper investigates the combined influences of initial geometrical imperfection, elasticity of in-plane constraints of edges, elastic foundations, and elevated temperature on the nonlinear vibration and dynamical response of carbon nanotube-reinforced composite rectangular plates. Carbon nanotubes are reinforced into the matrix with functionally graded distributions, and the temperature-dependent properties are determined using an extended rule of mixture. The governing equations are established within the framework of thin plate theory, considering von Karman nonlinearity, geometric imperfection, and interactive pressure from elastic foundation. Parametric studies are conducted to examine the influences on the natural frequency, nonlinear to linear frequency ratio, and nonlinear dynamical response of CNT-reinforced composite plates.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2023)
Article
Materials Science, Composites
Pham Thanh Hieu, Hoang Van Tung
Summary: The buckling and postbuckling behavior of thin composite cylindrical shells reinforced by CNTs under uniform temperature rise were investigated in this article. The study found that volume fraction, distribution type of CNTs, geometrical parameters, degree of tangential edge constraint, buckling mode, and surrounding elastic media all have effects on the buckling temperatures and postbuckling strength.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2021)
Article
Engineering, Multidisciplinary
Yan Niu, Minghui Yao, Qiliang Wu
Summary: This paper investigates the nonlinear vibration of a simply supported functionally graded graphene reinforced composite cylindrical panel under transverse excitation. Various models and methods are used to predict material properties and system responses, leading to results through parametric studies.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Mechanics
Sumeet Chakraborty, Tanish Dey
Summary: This study investigates the nonlinear stability characteristics of simply supported carbon nanotubes reinforced composite cylindrical shell panel under combined axial compressive loading and localized heating using a semi-analytical approach. The thermomechanical properties of the panel are considered temperature-dependent and modeled using higher order shear deformation theory and von Karman type nonlinearity. The influence of various dispersion profiles of CNTs, CNT volume fraction, and heating profiles on the buckling and post-buckling characteristics of the panel subjected to thermomechanical loadings is demonstrated through obtained results.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Marine
Mohammad Hoseinzadeh, Reza Pilafkan, Vahid Arab Maleki
Summary: The linear and nonlinear vibrations of functionally graded carbon nanotubes reinforced microplate submerged in fluid medium were analytically studied. The effects of carbon nanotubes (CNT) and geometric imperfection on the vibrational behavior of microplates submerged in the fluid were taken into consideration. Equations of motion were obtained using the first-order shear deformation theory of plates and considering size effects and large deformations. Effective mechanical properties were determined using the rule of mixtures for four types of CNT distributions. The nonlinear equations of motion were discretized using the Galerkin method, and the equation response was obtained using the method of multiple time scales. The effects of microplate geometric characteristics, small size parameter, fluid height, geometric imperfection amplitude, weight fraction, and distribution of CNT on linear and nonlinear frequencies and amplitude-frequency curves were studied. The results showed that an increase in fluid height led to a decrease in the natural frequency, and geometric imperfection caused stiffening behavior and substantial bending of the response curve to the right, which could induce jump instabilities as the frequency slowly varied.
Article
Engineering, Civil
Hao-Xuan Ding, Gui-Lin She
Summary: The present work focuses on the primary resonance of axially moving graphene-reinforced mental foam (GPLRMF) cylindrical shells with geometric imperfection. The distribution of porosities and graphene platelets (GPLs) along the thickness direction of the shell can be uniform or non-uniform. After considering the influences of initial geometric imperfection and axial velocity, the nonlinear equations of motion are derived using the energy principle, and the nonlinear primary resonance response is obtained using the modified Lindstedt Poincare (MLP) method under two different boundary conditions. The results show that the presence of initial geometric imperfection can alter the frequency response curve from the characteristics of the hard spring to the soft spring.
ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING
(2023)
Article
Engineering, Mechanical
Yi-Wen Zhang, Gui-Lin She
Summary: This paper investigates the nonlinear low-velocity impact response of geometrically imperfect graphene platelets-reinforced metal foams (GPLRMF) cylindrical shells under axial motion. The nonlinear equations of motion for the GPLRMF cylindrical shells are established based on Love's thin shell theory and von Karman's geometric nonlinearity. The effects of various parameters on the nonlinear low-impact response of the GPLRMF cylindrical shells are studied through numerical results.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Civil
Wei Zhang, Huan Ma, Yibo Wang, Yuewu Wang
Summary: This paper explores the dynamic responses of a porous functionally graded graphene nanoplatelet-reinforced composite cylindrical panel subjected to a moving load. The study introduces thermo-mechanical parameters and nonlinearity, and provides a closed-form solution and numerical method for the nonlinear dynamic response.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
Shupeng Sun, Chao Guo, Weiming Feng, Dengqing Cao
Summary: This paper investigates the nonlinear vibration analysis of carbon-nanotube reinforced functionally graded composite (FG-CNTRC) cylindrical shells resting on elastic foundations. The distribution patterns and stiffness of the elastic foundations are considered, and the nonlinear behaviors of the shells are analyzed using the harmonic balance method and the arc length continuation technique. The study also explores the chaotic vibrations resulting from 1:1 internal resonance.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Mechanics
Amin Khajehdezfuly, Davood Poorveis, Simin Nazarinia
Summary: This paper investigates the influences of effective parameters on the Difference between the Linear and Nonlinear Buckling Loads (DLNBL) of Functionally Graded Material (FGM) perforated cylindrical panel. The panel was simulated using spline finite strip method. The study compares the results obtained from the model developed in this study with those available in the literature to evaluate their validity. Through a parametric study, the influences of different effective parameters on the DLNBL of the panel were investigated.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2023)
Article
Mechanics
Mostafa Mirzaei
Summary: This research investigates the free vibration characteristics of carbon nanotube reinforced composite cylindrical panels with cutout. The effects of volume fraction of CNT, graded pattern of CNT, boundary conditions, panel geometry, and the hole size on the natural frequencies of the panels are analyzed. The results show that the volume fraction of CNT and the graded pattern of CNT have significant influences on the natural frequencies of the panels.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Amit Yadav, Marco Amabili, Sarat Kumar Panda, Tanish Dey, Rajesh Kumar
Summary: This study presents a semi-analytical solution for nonlinear vibrations of circular cylindrical shells made of carbon nanotube (CNT) fiber-reinforced composite (CNT-FRC), considering factors such as CNT distribution, matrix properties, and laminate structure.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Hu Jun, Liu Jian, Xu Junxin, Yi Hong, Aghil Shavalipour
Summary: This research is the first to analyze the pre-thermal buckling and vibration of imperfect graphene nanoplatelets reinforced composite (GPLRC) doubly curved open cylindrical micropanel using the numerical based two dimensional-generalized differential quadrature method (2D-GDQM). The effects of small-scale are also considered using nonlocal strain gradient theory (NSGT), and the stresses and strains are obtained using the high order shear deformable theory (HOSDT). The results show that various parameters have a significant influence on the frequency and pre-thermal buckling characteristics of the GPLRC micropanel.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
J. R. Cho
Summary: This paper introduces a nonlinear numerical method for solving the nonlinear vibration problem and investigates the parametric nonlinear free vibration characteristics of FG-CNTRC plates. Through numerical formulation and comparison with reference methods, the method's reliability is confirmed with a maximum relative difference less than 8.0%. The study explores the effects of gradient pattern, volume fraction of CNTs, relative thickness, and aspect ratio on the nonlinear free vibration characteristics of FG-CNTRC plates.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Mechanical
Pham Thanh Hieu, Hoang Van Tung
Summary: This paper presents an analytical investigation on the buckling and postbuckling behavior of sandwich cylindrical shells comprising functionally graded material layers subjected to uniform temperature rise and external pressure in thermal environments. The effects of sandwich configurations, material gradation, tangential constraints of edges, and temperature dependence of material properties on buckling loads and postbuckling curves are analyzed through numerical examples.
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
(2021)
Article
Materials Science, Composites
Le Thi Nhu Trang, Hoang Van Tung
Summary: This study presents an analytical investigation on the postbuckling behavior of thin plates reinforced by carbon nanotubes under nonuniform thermal loads. The study considers practical situations of thermal loads, such as sinusoidal and linear temperature distributions, and analyzes thermal buckling and postbuckling behavior through numerical examples. The basic equations are solved using analytical solutions and Galerkin method, providing insights into the behavior of nanocomposite plates.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2022)
Article
Engineering, Aerospace
Vu Thanh Long, Hoang Van Tung
Summary: The study proposes an effective analytical solution to investigate the nonlinear buckling behavior of functionally graded material porous cylindrical shells under external pressure and high temperature. It was found that porosities have a detrimental influence on the buckling resistance of shells, while edge constraints have significant effects on critical buckling loads and pressure bearing capacity of shells.
JOURNAL OF AEROSPACE ENGINEERING
(2021)
Article
Materials Science, Composites
Le Thi Nhu Trang, Hoang Van Tung
Summary: This paper investigates the nonlinear thermoelastic stability of nanocomposite curved panels under nonuniform temperature distribution. The results show that thermal instability can occur in cylindrical panels under sinusoidal temperature distribution, and the load carrying capacity is the weakest for an intermediate value of CNT volume fraction.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2023)
Article
Mechanics
Vu Thanh Long, Hoang Van Tung
Summary: In this article, an analytical investigation is presented on the nonlinear stability of porous functionally graded spherical caps and circular plates under uniform external pressure and elevated temperature. The results show that porosity has both detrimental and beneficial effects on the load-carrying capacity of the structures under external pressure and elevated temperature, respectively. Furthermore, the snap-through buckling response of pressurized FGM spherical caps can be alleviated and even eliminated by the presence of suitable stiffness parameters in the elastic foundations.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Materials Science, Characterization & Testing
Le Thi Nhu Trang, Hoang Van Tung
Summary: This study investigates the buckling and postbuckling behavior of carbon nanotube-reinforced thick composite plates on elastic foundations subjected to thermomechanical loads. The effects of different factors on the nonlinear thermomechanical stability of these plates are analyzed.
POLYMERS & POLYMER COMPOSITES
(2021)
Article
Mechanics
Vu Thanh Long, Hoang Van Tung
Summary: This paper analyzes the effects of porosities, tangential constraints of boundary edges, and elevated temperature on the buckling and postbuckling behaviors of thin functionally graded cylindrical shells subjected to uniform torsion. The results show that porosities have a deteriorative effect on the torsional resistance and postbuckling load capacities, while tangential edge constraints have different effects on the postbuckling strength at different temperatures.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Engineering, Marine
Vu Thanh Long, Hoang Van Tung
Summary: This study investigates the buckling and postbuckling behavior of nearly cylindrical shells made of functionally graded porous material under external lateral pressure in thermal environments. Analytical solutions are derived to assess the effects of various factors on the critical loads and postbuckling strength of the shells.
SHIPS AND OFFSHORE STRUCTURES
(2023)
Article
Materials Science, Composites
Le Thi Nhu Trang, Hoang Van Tung
Summary: This paper presents an analytical investigation on the nonlinear stability of a toroidal shell segment made of carbon nanotube-reinforced composite under elevated temperature and uniform torsion. The study found that tangential edge constraints have no and negative effects on critical torsional loads at room and elevated temperatures respectively, but profoundly beneficial influences on the postbuckling load capacity of the toroidal shell segment.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2023)
Article
Mathematics, Applied
Le Thi Nhu Trang, Hoang Van Tung
Summary: This paper focuses on the influences of surrounding elastic media and tangential edge constraints on the buckling and postbucking behaviors of nearly cylindrical shells made of functionally graded porous materials subject to uniform temperature rise. Different porosity distributions and power-law variations of material constituents are considered. Analytical solutions are assumed for simply supported shells and parametric studies are conducted to assess the effects on thermal buckling resistance and postbuckling load carrying capabilities. The results show that porosity and tangential edge constraint have opposite influences on the thermal stability of the shells, while surrounding elastic media have significantly beneficial effects on the thermal nonlinear stability.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mechanics
Le Thi Nhu Trang, Hoang Van Tung
Summary: This article analyzes the nonlinear instability of toroidal shell segments made of functionally graded porous material subjected to elevated temperature and uniform torsion. The study establishes governing equations incorporating geometrical nonlinearity and derives parametric solutions for load-deflection relations and buckling loads using Galerkin method. The research investigates the effects of material and geometry properties, porous coefficient and distributions, edge constraint, and temperature on the buckling resistance and postbuckling strength of the shells.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mathematics, Applied
Le Thi Nhu Trang, Hoang Van Tung
Summary: This paper investigates the buckling and postbuckling behavior of a toroidal shell segment (TSS) made of functionally graded porous material (FGPM) under combined axial compression and lateral pressure, exposed to a thermal environment and surrounded by an elastic medium. The material constituents vary across the thickness according to power-law functions, and the porosities are distributed in the TSS in the form of cosine functions of the thickness variable. Governing equations considering geometrical nonlinearity and interactive pressure from the surrounding elastic media are derived based on classical shell theory. Parametric studies are conducted to assess the influences of various factors on the buckling resistance and postbuckling load carrying capabilities of FGPM TSSs.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Materials Science, Composites
N. D. Anh, Nguyen Van Thinh, Hoang Van Tung
Summary: This paper investigates the combined influences of initial geometrical imperfection, elasticity of in-plane constraints of edges, elastic foundations, and elevated temperature on the nonlinear vibration and dynamical response of carbon nanotube-reinforced composite rectangular plates. Carbon nanotubes are reinforced into the matrix with functionally graded distributions, and the temperature-dependent properties are determined using an extended rule of mixture. The governing equations are established within the framework of thin plate theory, considering von Karman nonlinearity, geometric imperfection, and interactive pressure from elastic foundation. Parametric studies are conducted to examine the influences on the natural frequency, nonlinear to linear frequency ratio, and nonlinear dynamical response of CNT-reinforced composite plates.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2023)
Article
Materials Science, Composites
Nguyen Van Thinh, Hoang Van Tung
Summary: This paper presents an analytical investigation on the buckling and postbuckling behavior of carbon nanotube-reinforced composite beams integrated with surface-bonded piezoelectric layers under uniform temperature rise. The study reveals the influences of CNT distribution and volume fraction, applied voltage, and in-plane and out-of-plane conditions of the ends on the critical loads and postbuckling load carrying capacity of beams. The results show that CNT volume fraction and degree of in-plane ends constraint have slight and significant influences on the critical temperatures and thermal postbuckling paths, respectively, while negative and positive voltages affect the thermal buckling temperatures of piezoelectric CNT-reinforced composite beams.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2023)
Article
Mathematics, Applied
N. D. Anh, Nguyen Van Thinh, Hoang Van Tung
Summary: This paper investigates the large-amplitude vibration of initially stressed functionally graded material (FGM) rectangular plates with porosities, and explores the effects of various parameters on the natural frequencies and nonlinear to linear frequency ratio of the plates.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)