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学者姓名：张伟
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摘要 ：
The volume fraction of the carbon nanotube (CNT) plays a key role in ensuring the performance of the CNT reinforced polymer composite, especially under the severe vibration, which leads to the resonance and failure of the composite structure. In this paper, a bottom-up multiscale method is adopted to study the effect of the CNT volume fractions on the nonlinear vibration of the poly (methyl methacrylate) (PMMA)/CNT composite. According to the molecular simulation, the longitudinal, transverse and shear moduli of the PMMA/CNT nanocomposites are found to increase with the increasing CNT volume fractions. Substituting the simulated moduli into the extended rule of mixtures (EROM), the efficiency parameters of the PMMA/CNT composite with various CNT volume fractions are derived based on a homogenization approach. The derived efficiency parameters are used in the functionally graded (FG)-based EROM to obtain the expressions of the longitudinal, transverse and shear moduli of the macroscopic composite plate, so as to obtain the constitutive equation for the nonlinear vibrations of the FG-based PMMA/CNT composite plate. The subsequent meshless simulation results demonstrate that the natural frequencies of the FG-based composite plate increase with the increasing volume fractions, whereas the ratios of the nonlinear to linear frequencies decrease. Using the bottom-up multiscale analysis, the macroscopic vibration responses are analyzed for the PMMA/CNT composites with the CNT volume fractions up to 9.0%, which provides a paradigm of the design of the PMMA/CNT composite by considering the CNT volume fraction effect.
关键词 ：
CNT composite CNT composite CNT volume fraction CNT volume fraction Meshless simulation Meshless simulation Molecular dynamics Molecular dynamics Nonlinear vibration Nonlinear vibration PMMA PMMA
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| GB/T 7714 | Wang, J. F. , Yang, J. P. , Tam, L-H et al. Effect of CNT volume fractions on nonlinear vibrations of PMMA/CNT composite plates: A multiscale simulation [J]. | THIN-WALLED STRUCTURES , 2022 , 170 . |
| MLA | Wang, J. F. et al. "Effect of CNT volume fractions on nonlinear vibrations of PMMA/CNT composite plates: A multiscale simulation" . | THIN-WALLED STRUCTURES 170 (2022) . |
| APA | Wang, J. F. , Yang, J. P. , Tam, L-H , Zhang, W. . Effect of CNT volume fractions on nonlinear vibrations of PMMA/CNT composite plates: A multiscale simulation . | THIN-WALLED STRUCTURES , 2022 , 170 . |
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摘要 ：
This paper analytically and numerically presents global dynamics of the generalized Boussinesq equation (GBE) with cubic nonlinearity and harmonic excitation. The effect of the damping coefficient on the dynamical responses of the generalized Boussinesq equation is clearly revealed. Using the reductive perturbation method, an equivalent wave equation is then derived from the complex nonlinear equation of the GBE. The persistent homoclinic orbit for the perturbed equation is located through the first and second measurements, and the breaking of the homoclinic structure will generate chaos in a Smale horseshoe sense for the GBE. Numerical examples are used to test the validity of the theoretical prediction. Both theoretical prediction and numerical simulations demonstrate the homoclinic chaos for the GBE.
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| GB/T 7714 | Li, Mingyuan , Zhang, Wei , Wu, Qiliang . Analytical and Numerical Results on Global Dynamics of the Generalized Boussinesq Equation with Cubic Nonlinearity and External Excitation [J]. | MATHEMATICAL PROBLEMS IN ENGINEERING , 2021 , 2021 . |
| MLA | Li, Mingyuan et al. "Analytical and Numerical Results on Global Dynamics of the Generalized Boussinesq Equation with Cubic Nonlinearity and External Excitation" . | MATHEMATICAL PROBLEMS IN ENGINEERING 2021 (2021) . |
| APA | Li, Mingyuan , Zhang, Wei , Wu, Qiliang . Analytical and Numerical Results on Global Dynamics of the Generalized Boussinesq Equation with Cubic Nonlinearity and External Excitation . | MATHEMATICAL PROBLEMS IN ENGINEERING , 2021 , 2021 . |
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摘要 ：
The comparative researches of the nonlinear vibrations are obtained among the pure polymer plate and three types of graphene platelet reinforced polymer composite plates under combined the transverse and parametric excitations. All edges of the pure polymer and graphene platelet reinforced polymer composite plates are simply supported. Both the uniform and functionally graded distribution forms of the graphene platelets are considered. The differential governing equations of motion for the pure polymer and graphene platelet reinforced polymer composite plates are derived based on the first-order shear deformation plate theory, von K?rm?n strain displacement relationship and Hamilton principle. The fourth-order Galerkin truncation is employed to discretize the partial differential governing equations of motion to four-degree-of-freedom nonlinear dynamical system. The natural frequencies of the first four vibration modes are examined for the pure polymer and graphene platelet reinforced polymer composite plates with different geometric characteristics. In order to compare the nonlinear vibrations of the prestressed pure polymer and prestressed graphene platelet reinforced polymer composite plates subjected to the transverse point excitation and in-plane uniaxial/biaxial excitations, the time histories, phase portraits and Poincare maps are presented. Some validated results are conducted to present the accuracy of the present approach. The effects of the distribution forms and weight fractions of the graphene platelets on the nonlinear vibrations for the graphene platelet reinforced polymer composite plates are investigated in detail. The research results demonstrate that the nonlinear vibration behaviors of the prestressed pure polymer plate under the complex excitations can be remarkably stabilized by the reinforcement of the graphene platelets.
关键词 ：
Chaotic vibrations Chaotic vibrations composite plate composite plate Four-degree-of-freedom nonlinear dynamical system Four-degree-of-freedom nonlinear dynamical system Graphene platelet reinforced polymer Graphene platelet reinforced polymer Nonlinear vibrations Nonlinear vibrations Transverse and in-plane excitations Transverse and in-plane excitations
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| GB/T 7714 | Mao, J. J. , Lai, S. K. , Zhang, W. et al. Comparisons of nonlinear vibrations among pure polymer plate and graphene platelet reinforced composite plates under combined transverse and parametric excitations [J]. | COMPOSITE STRUCTURES , 2021 , 265 . |
| MLA | Mao, J. J. et al. "Comparisons of nonlinear vibrations among pure polymer plate and graphene platelet reinforced composite plates under combined transverse and parametric excitations" . | COMPOSITE STRUCTURES 265 (2021) . |
| APA | Mao, J. J. , Lai, S. K. , Zhang, W. , Liu, Y. Z. . Comparisons of nonlinear vibrations among pure polymer plate and graphene platelet reinforced composite plates under combined transverse and parametric excitations . | COMPOSITE STRUCTURES , 2021 , 265 . |
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摘要 ：
In the current work, an accurate modified couple stress-based cylindrical micro-panel model is developed in the framework of sinusoidal shear deformation theory. The classical strain tensors and curvature tensor components in a modified couple stress-based model are given with consideration of the geometric curve of cylindrical panels. In conjunction with a general Lagrange procedure, the proposed model is implemented to derive a system of Mathieu-Hill equations of governing dynamic stability behaviors of the cylindrical micro-panels. The Navier-type solution and Bolotin's method are applied to predict the principle unstable regions of the micro-panels with simply-supported boundary condition. As an application of the proposed model, the size-dependent stability of a functionally graded graphene nanoplatelets reinforced composite (FG-GNPRC) cylindrical micro-panel under axial oscillation compression is investigated for the first time. It is assumed that the weight fraction of graphene nanoplatelets (GNPs) is graded in the panel thickness. The effective Young's modulus of FG-GNPRC is determined based on a modified Halpin-Tsai model, while the mixture rule used to evaluate the effective Poisson's ratio and the mass density. The parameter studies are performed to examine the effect of dimensionless length parameter, GPL distribution patterns, GPL size and shape, length-to-span ratio and radius-to-span ratio on the sizedependent dynamic stabilities of FG-GNPRC cylindrical micro-panels.
关键词 ：
Cylindrical micro-panel Cylindrical micro-panel Dynamic stability Dynamic stability Functionally graded graphene nanoplatelets reinforced composite Functionally graded graphene nanoplatelets reinforced composite Modified couple stress theory Modified couple stress theory Sinusoidal shear deformation theory Sinusoidal shear deformation theory
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| GB/T 7714 | Wang, Yuewu , Fu, Tairan , Zhang, Wei . An accurate size-dependent sinusoidal shear deformable framework for GNP-reinforced cylindrical panels: Applications to dynamic stability analysis [J]. | THIN-WALLED STRUCTURES , 2021 , 160 . |
| MLA | Wang, Yuewu et al. "An accurate size-dependent sinusoidal shear deformable framework for GNP-reinforced cylindrical panels: Applications to dynamic stability analysis" . | THIN-WALLED STRUCTURES 160 (2021) . |
| APA | Wang, Yuewu , Fu, Tairan , Zhang, Wei . An accurate size-dependent sinusoidal shear deformable framework for GNP-reinforced cylindrical panels: Applications to dynamic stability analysis . | THIN-WALLED STRUCTURES , 2021 , 160 . |
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摘要 ：
Regarding the dynamic behavior of the functionally graded materials (FGM) conical panels under the static and harmonic in-plane loading, most studies focus on parametric resonances and dynamic instability which determine the stability regions. Studies on the bursting oscillation of the conical panels under the lower frequency excitation are quite rare. In this paper, we present a novel nonautonomous system of the cantilever functionally graded materials sandwich conical panels with a slowly varying parametric excitation and study the bending-torsion coupling bursting oscillations. The face sheets and core layer are the metal ceramic composite layer and homogeneous metal layer, respectively. In two surfaces layers, the component materials are gradually changed in the transverse direction and the temperature dependent properties show the form of the power law distribution. The excitations in the meridional direction include the static preload and lower frequency harmonic excitation. The mode functions of the first-order bending mode and the first order torsion mode are obtained in terms of Chebyshev polynomials with the help of energy principle. The bending-torsion coupling nonautonomous nonlinear oscillation system is derived by Lagrange equations. Under the slowly varying in-plane load, the equilibrium solutions of the system are obtained by treating them as a generalized autonomous system and they will be no longer stable through the pitchfork bifurcation with the symmetry breaking. The bursting oscillations of the novel dynamic system are analyzed by numerical methods. It is interesting to find that the mechanisms of bursting oscillation are associated with the pitchfork bifurcation with the symmetry breaking. (C) 2020 Elsevier Ltd. All rights reserved.
关键词 ：
Bursting oscillation Bursting oscillation Conical panel Conical panel Functionally graded sandwich structures Functionally graded sandwich structures Pitchfork bifurcation Pitchfork bifurcation Slowly varying parametric excitation Slowly varying parametric excitation
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| GB/T 7714 | Hao, Y. X. , Wang, M. X. , Zhang, W. et al. Bending-torsion coupling bursting oscillation of a sandwich conical panel under parametric excitation [J]. | JOURNAL OF SOUND AND VIBRATION , 2021 , 495 . |
| MLA | Hao, Y. X. et al. "Bending-torsion coupling bursting oscillation of a sandwich conical panel under parametric excitation" . | JOURNAL OF SOUND AND VIBRATION 495 (2021) . |
| APA | Hao, Y. X. , Wang, M. X. , Zhang, W. , Yang, S. W. , Liu, L. T. , Qian, Y. H. . Bending-torsion coupling bursting oscillation of a sandwich conical panel under parametric excitation . | JOURNAL OF SOUND AND VIBRATION , 2021 , 495 . |
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摘要 ：
In present work, a nonlinear functionally graded curved beam model including the von Karman geometric nonlinearity is developed on the basis of the third-order shear deformation theory. Due to incorporating the trapezoidal shape factor in the proposed model, the errors caused by geometric curvatures are eliminated. The governing equations of motions related to the dynamics of curved beams are derived by Lagrange method and solved using a standard Newmark time iteration procedure in conjunction with Newton-Raphson technique. Some comparisons are performed and indicate that the results from our model coincide favorably with semi-analytical solutions. Afterwards, utilizing the proposed model, the present investigation focuses on the nonlinear transient response of functionally graded multilayer curved beams reinforced by graphene oxide nano-fillers subjected to moving loads. A modified Halpin-Tsai micromechanical model is implemented to determine the effective modulus of graphene oxide/polymer nanocomposite, and the rule of mixture is used to calculate the mass density and Poisson's ratio. The curved beams are assumed to rest on a visco-Pasternak foundation. The effects GO nano-fillers, including their weight fractions, distribution patterns and size on the nonlinear dynamic responses of the nanocomposite curved beams subjected to moving loads are studied. Moreover, the effects of radius-to-span ratios and visco-Pasternak foundation on the nonlinear dynamic response of curved beams are also discussed as subtopics.
关键词 ：
Curved beam Curved beam Graphene oxides Graphene oxides Nonlinear analysis Nonlinear analysis Polymer-based nanocomposite Polymer-based nanocomposite Third-order shear deformation theory Third-order shear deformation theory
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| GB/T 7714 | Wang, Yuewu , Xie, Ke , Fu, Tairan et al. A third order shear deformable model and its applications for nonlinear dynamic response of graphene oxides reinforced curved beams resting on visco-elastic foundation and subjected to moving loads [J]. | ENGINEERING WITH COMPUTERS , 2021 . |
| MLA | Wang, Yuewu et al. "A third order shear deformable model and its applications for nonlinear dynamic response of graphene oxides reinforced curved beams resting on visco-elastic foundation and subjected to moving loads" . | ENGINEERING WITH COMPUTERS (2021) . |
| APA | Wang, Yuewu , Xie, Ke , Fu, Tairan , Zhang, Wei . A third order shear deformable model and its applications for nonlinear dynamic response of graphene oxides reinforced curved beams resting on visco-elastic foundation and subjected to moving loads . | ENGINEERING WITH COMPUTERS , 2021 . |
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摘要 ：
Poly (methyl methacrylate) (PMMA)/carbon nanotube (CNT) composite plates have been extensively used in aviation and aerospace fields. During intended service life, the PMMA/CNT composite structure is prone to severe vibration, which leads to the formation of cracks and the fracture of structures. In order to achieve vibration attenuation, it requires a fundamental understanding of the vibration behavior of composite structures. Here, a molecular dynamics (MD) based multiscale approach is developed to analyze the nonlinear vibration behavior of PMMA/CNT composite plate. Molecular simulations are performed to capture the mechanical properties of the composite and constituents, including longitudinal, transverse, and shear moduli of single-walled CNT (SWCNT) segment, PMMA matrix, and PMMA/SWCNT nanocomposite. The MD simulation results are substituted into the extended rule of mixtures to derive the related efficiency parameters, which are used as the fundamental inputs in a meshless approach to predict the nonlinear vibration of macroscale functionally graded (FG)-based composite plates. According to the macroscale simulation, it is found that the arrangement of CNTs has a significant influence on the nonlinear vibration of FG-based composite plates. The developed multiscale approach provides an efficient paradigm of investigating the macroscopic behavior of composite structure in consideration of the mechanical response from microscopic constituents. (c) 2020 Elsevier Ltd. All rights reserved.
关键词 ：
Molecular dynamics Molecular dynamics Multiscale modeling Multiscale modeling Nanocomposite Nanocomposite Nonlinear vibration Nonlinear vibration
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| GB/T 7714 | Wang, J. F. , Yang, J. P. , Tam, L. -h. et al. Molecular dynamics-based multiscale nonlinear vibrations of PMMA/CNT composite plates [J]. | MECHANICAL SYSTEMS AND SIGNAL PROCESSING , 2021 , 153 . |
| MLA | Wang, J. F. et al. "Molecular dynamics-based multiscale nonlinear vibrations of PMMA/CNT composite plates" . | MECHANICAL SYSTEMS AND SIGNAL PROCESSING 153 (2021) . |
| APA | Wang, J. F. , Yang, J. P. , Tam, L. -h. , Zhang, W. . Molecular dynamics-based multiscale nonlinear vibrations of PMMA/CNT composite plates . | MECHANICAL SYSTEMS AND SIGNAL PROCESSING , 2021 , 153 . |
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摘要 ：
Andronov-Hopf bifurcations, Pomeau-Manneville intermittent chaos and nonlinear vibrations of the large deployable space antenna (LDSA) subjected to the thermal load with the case of 1:3 internal resonance are studied for the first time. The frequencies and vibration modes of the LDSA are analyzed by using the finite element method. It is found that there may exist an approximate threefold relationship between the fourth-order and first-order frequencies of the LDSA. The LDSA is simplified to a composite laminated equivalent cylindrical shell clamped along a generatrix and with the radial pre-stretched membranes at two ends subjected to the thermal load. Considering the case of 1:3 internal resonance, four-dimensional nonlinear averaged equations are obtained by using the method of multiple scales. The amplitude-frequency response curves and amplitude-force response curves are obtained for the LDSA subjected to the thermal load through the prediction-correction continuation algorithm. The fold bifurcation and Andronov-Hopf bifurcation points are located on these resonant response curves. The equivalent model of the LDSA has the hardening spring characteristics. The thermal load has very significant influences on the stability of the LDSA. The nonlinear dynamics of the equivalent model for the LDSA are investigated by using the fourth-order Runge-Kutta algorithm. These nonlinear dynamic behaviors are described by the bifurcation diagrams, waveforms, phase plots, and Poincare maps. The periodic doubling bifurcation and Pomeau-Manneville type intermittent chaos appear in this nonlinear dynamical system. According to the topological evolution of the phase trajectories, the phase-locking phenomenon and a special evolution path of the chaotic attractors are found. (c) 2021 Elsevier Ltd. All rights reserved.
关键词 ：
1:3 internal resonance 1:3 internal resonance Equivalent cylindrical shell model Equivalent cylindrical shell model Large deployable space antenna Large deployable space antenna Periodic doubling bifurcation Periodic doubling bifurcation Pomeau-Manneville type intermittent chaos Pomeau-Manneville type intermittent chaos
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| GB/T 7714 | Liu, T. , Zhang, W. , Zheng, Y. et al. Andronov-Hopf bifurcations, Pomeau-Manneville intermittent chaos and nonlinear vibrations of large deployable space antenna subjected to thermal load and radial pre-stretched membranes with 1:3 internal resonance [J]. | CHAOS SOLITONS & FRACTALS , 2021 , 144 . |
| MLA | Liu, T. et al. "Andronov-Hopf bifurcations, Pomeau-Manneville intermittent chaos and nonlinear vibrations of large deployable space antenna subjected to thermal load and radial pre-stretched membranes with 1:3 internal resonance" . | CHAOS SOLITONS & FRACTALS 144 (2021) . |
| APA | Liu, T. , Zhang, W. , Zheng, Y. , Zhang, Y. F. . Andronov-Hopf bifurcations, Pomeau-Manneville intermittent chaos and nonlinear vibrations of large deployable space antenna subjected to thermal load and radial pre-stretched membranes with 1:3 internal resonance . | CHAOS SOLITONS & FRACTALS , 2021 , 144 . |
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摘要 ：
This paper studies the dynamic behaviors of a magnetically coupled oscillator with two degrees-of-freedom. For the certain parameter combinations, the target component (TC), which is excited by a base movement, enters the saturated steady-state responses. Another component, which is called as the spatially constrained system (SCS), is considered as an energy absorber pumping out of the energy from the TC under 1:3 internal resonance. The governing equations of motion are derived using a magnetic dipole model and then are solved with the method of multiple scales. The energy distributions between the TC and SCS can vary with the base movement amplitude and excitation frequency. The saturation behavior is found and used for constraining the moving amplitude of an excited system. The bifurcation diagrams reveal the complex and interesting responses when the excitation frequency and amplitude change. The results include the comparisons among the analytical predictions, numerical simulations, and experimental tests. For the purpose of suppressing the primary resonance, the present system effectively transf er the energy from the excited component. The jumping and saturation phenomena are found in the experiments and the changes in the spectrum of two steady-state responses are also observed. (C) 2020 Elsevier Ltd. All rights reserved.
关键词 ：
Internal resonance Internal resonance Magnetic coupled oscillator Magnetic coupled oscillator Method of multiple scales Method of multiple scales Resonance suppression Resonance suppression Spatially constrained system Spatially constrained system
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| GB/T 7714 | Zhou, J. , Zhang, W. , Wang, X. S. et al. Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment [J]. | JOURNAL OF SOUND AND VIBRATION , 2021 , 496 . |
| MLA | Zhou, J. et al. "Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment" . | JOURNAL OF SOUND AND VIBRATION 496 (2021) . |
| APA | Zhou, J. , Zhang, W. , Wang, X. S. , Mann, B. P. , Dowell, E. H. . Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment . | JOURNAL OF SOUND AND VIBRATION , 2021 , 496 . |
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摘要 ：
In this paper, we make a thorough inquiry about the Jacobi stability of 5D self-exciting homopolar disc dynamo system on the basis of differential geometric methods namely Kosambi-Cartan-Chern theory. The Jacobi stability of the equilibria under specific parameter values are discussed through the characteristic value of the matrix of second KCC invariants. Periodic orbit is proved to be Jacobi unstable. Then we make use of the deviation vector to analyze the trajectories behaviors in the neighborhood of the equilibria. Instability exponent is applicable for predicting the onset of chaos quantitatively. In addition, we also consider impulsive control problem and suppress hidden attractor effectively in the 5D self-exciting homopolar disc dynamo.
关键词 ：
Deviation vector Deviation vector Homopolar disc dynamo Homopolar disc dynamo Impulsive control Impulsive control Jacobi stability Jacobi stability Kosambi-Cartan-Chern theory Kosambi-Cartan-Chern theory    
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| GB/T 7714 | Wei, Zhouchao , Wang, Fanrui , Li, Huijuan et al. JACOBI STABILITY ANALYSIS AND IMPULSIVE CONTROL OF A 5D SELF-EXCITING HOMOPOLAR DISC DYNAMO [J]. | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B , 2021 . |
| MLA | Wei, Zhouchao et al. "JACOBI STABILITY ANALYSIS AND IMPULSIVE CONTROL OF A 5D SELF-EXCITING HOMOPOLAR DISC DYNAMO" . | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021) . |
| APA | Wei, Zhouchao , Wang, Fanrui , Li, Huijuan , Zhang, Wei . JACOBI STABILITY ANALYSIS AND IMPULSIVE CONTROL OF A 5D SELF-EXCITING HOMOPOLAR DISC DYNAMO . | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B , 2021 . |
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