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学者姓名：张伟
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Abstract ：
In this paper, the nonlinear and dual-parameter chaotic vibrations are investigated for the blisk structure with the lumped parameter model under combined the aerodynamic force and varying rotating speed. The varying rotating speed and aerodynamic force are, respectively, simplified to the parametric and external excitations. The nonlinear governing equations of motion for the rotating blisk are established by using Hamilton's principle. The free vibration and mode localization phenomena are studied for the tuning and mistuning blisks. Due to the mistuning, the periodic characteristics of the blisk structure are destroyed and uniform distribution of the energy is broken. It is found that there is a positive correlation between the mistuning variable and mode localization factor to exhibit the large vibration of the blisk in a certain region. The method of multiple scales is applied to derive four-dimensional averaged equations of the blisk under 1:1 internal and principal parametric resonances. The amplitude-frequency response curves of the blisk are studied, which illustrate the influence of different parameters on the bandwidth and vibration amplitudes of the blisk. Lyapunov exponent, bifurcation diagrams, phase portraits, waveforms and Poincare maps are depicted. The dual-parameter Lyapunov exponents and bifurcation diagrams of the blisk reveal the paths leading to the chaos. The influences of different parameters on the bifurcation and chaotic vibrations are analyzed. The numerical results demonstrate that the parametric and external excitations, rotating speed and damping determine the occurrence of the chaotic vibrations and paths leading to the chaotic vibrations in the blisk.
Keyword ：
Blisk structure Blisk structure Lumped parameter model Lumped parameter model Dual-parameter chaotic vibrations Dual-parameter chaotic vibrations Amplitude-frequency response curves Amplitude-frequency response curves Parametric and external excitations Parametric and external excitations
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| GB/T 7714 | Zhang, W. , Ma, L. , Zhang, Y. F. et al. Nonlinear and dual-parameter chaotic vibrations of lumped parameter model in blisk under combined aerodynamic force and varying rotating speed [J]. | NONLINEAR DYNAMICS , 2022 , 108 (2) : 1217-1246 . |
| MLA | Zhang, W. et al. "Nonlinear and dual-parameter chaotic vibrations of lumped parameter model in blisk under combined aerodynamic force and varying rotating speed" . | NONLINEAR DYNAMICS 108 . 2 (2022) : 1217-1246 . |
| APA | Zhang, W. , Ma, L. , Zhang, Y. F. , Behdinan, K. . Nonlinear and dual-parameter chaotic vibrations of lumped parameter model in blisk under combined aerodynamic force and varying rotating speed . | NONLINEAR DYNAMICS , 2022 , 108 (2) , 1217-1246 . |
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Abstract ：
This paper focuses on the analysis on the nonlinear dynamics of two first-order 2:3 external and 3:2 internal mean motion resonances (MMRs) for three-body formed by two massive bodies, namely planet and star, and one test particle of the negligible mass. A detailed analysis of the phase space structure is given by computing Poincare map of the planar circular restricted three-body model. It is found that the eccentricity and initial location, namely the semimajor axis and phase, of the massless particle significantly affect the steady state of the resonant orbits. The transition mechanisms are obtained for the number of the stable islands. The width- and height-variation trends of the stable islands are analyzed. The stable and chaotic domains are obtained by the resonance space. Our results may be instructive for understanding the dynamics of the resonant bodies and the evolution of the resonant orbits.
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| GB/T 7714 | Zhou, Yi , Zhang, Wei . Analysis on nonlinear dynamics of two first-order resonances in a three-body system [J]. | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS , 2022 , 231 (11-12) : 2289-2306 . |
| MLA | Zhou, Yi et al. "Analysis on nonlinear dynamics of two first-order resonances in a three-body system" . | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS 231 . 11-12 (2022) : 2289-2306 . |
| APA | Zhou, Yi , Zhang, Wei . Analysis on nonlinear dynamics of two first-order resonances in a three-body system . | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS , 2022 , 231 (11-12) , 2289-2306 . |
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Abstract ：
The wind turbine blade is commonly treated as a non-uniform beam because of its high aspect ratio. The bend-twist coupled vibrations of the wind turbine blade occur when there exist the misalignments among the shear center, neutral axis and pressure center in the blade cross-section. The differential governing equations of motion for the rotating wind turbine blade are derived by Hamilton principle and solved by the transferred differential transformation method (TDTM). Due to the rotations, three terms, namely the tension, centrifugal and gyroscopic forces, are distinctively summarized and taken into ac-count in the proposed model. The natural frequencies obtained by the TDTM are compared with both experimental and numerical simulations to validate the effectiveness of the proposed solving method. The influences of the tension, centrifugal and gyroscopic forces on the natural frequencies are investi-gated for the wind turbine blade. The mode veering phenomenon is found and explained by using the complex mode decomposition theory. The phase differences among the flap-wise, edge-wise and torsional motions are also explored by observing the whirling orbits at the blade tip. (C) 2022 Elsevier Ltd. All rights reserved.
Keyword ：
Centrifugal effect Centrifugal effect Bend-twist coupling Bend-twist coupling Rotating wind turbine blade Rotating wind turbine blade Differential transformation method Differential transformation method Mode veering Mode veering
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| GB/T 7714 | Zhou, J. W. , Zhang, W. , Jiang, X. et al. Investigation on dynamics of rotating wind turbine blade using transferred differential transformation method [J]. | RENEWABLE ENERGY , 2022 , 188 : 96-113 . |
| MLA | Zhou, J. W. et al. "Investigation on dynamics of rotating wind turbine blade using transferred differential transformation method" . | RENEWABLE ENERGY 188 (2022) : 96-113 . |
| APA | Zhou, J. W. , Zhang, W. , Jiang, X. , Zhai, E. D. . Investigation on dynamics of rotating wind turbine blade using transferred differential transformation method . | RENEWABLE ENERGY , 2022 , 188 , 96-113 . |
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Abstract ：
Negative Poisson's ratio materials are increasingly used in the design of vibration isolation bases due to their unique tensile properties. In this paper, based on the expansion feature of the negative Poisson's ratio re-entrant structure, the influence of the size of the re-entrant structure within a single structure was analyzed, and a honeycomb base was designed with a negative Poisson's ratio re-entrant structure. A new modeling method for the honeycomb base is proposed. In the modeling process, the honeycomb base was analyzed according to its symmetry using the Lagrange equation for base modeling and the finite element consistent mass matrix was introduced to simplify the calculation. The vibration isolation performance of the honeycomb base was evaluated by vibration level difference. COMSOL software was used to simulate and analyze the cellular base in order to verify the correctness of the results obtained from numerical modeling. In conclusion, the honeycomb base had a vibration isolation effect on external excitation in the vertical direction of the base. Furthermore, the vibration isolation performance of the base was greatly related to the wall thickness and Poisson's ratio of the re-entrant structure.
Keyword ：
model model vibration isolation vibration isolation negative Poisson's ratio negative Poisson's ratio Lagrange equation Lagrange equation
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| GB/T 7714 | Pan, Kun , Zhang, Wei , Ding, Jieyu . Negative Poisson's Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis [J]. | SYMMETRY-BASEL , 2022 , 14 (7) . |
| MLA | Pan, Kun et al. "Negative Poisson's Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis" . | SYMMETRY-BASEL 14 . 7 (2022) . |
| APA | Pan, Kun , Zhang, Wei , Ding, Jieyu . Negative Poisson's Ratio Re-Entrant Base Modeling and Vibration Isolation Performance Analysis . | SYMMETRY-BASEL , 2022 , 14 (7) . |
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Abstract ：
This paper investigates the aeroelastic flutter and vibration reduction of functionally graded (FG) multilayer graphene nanoplatelets (GPLs) reinforced composite plates with piezoelectric patch subjected to supersonic flow. Activated by the control voltage, the piezoelectric patch can generate the active mass and active stiffness that can accordingly increase the base plate's stiffness and mass. As a result, it changes the GPLs reinforced plate's dynamic characteristics. The motion equation of the plate-piezoelectric system is derived through the Hamilton principle. Based on the modified Halpin-Tsai model, the effects of graphene nanoplatelets weight fraction and distribution pattern on the dynamic behaviors of the plate are numerically studied in detail. The result illustrates that adding a few amounts of grapheme nanoplatelets can effectually enhance the aeroelastic properties of the plates. Two kinds of control strategies, including the displacement and acceleration feedback control, are applied to suppress the occurrence of the flutter of the plate. It shows that the displacement and acceleration feedback control can improve the critical flutter Mach number of the plate by attaching active stiffness and active mass, respectively. Furthermore, the combined displacement and acceleration feedback control has a better control effect than that of considering only one of them.
Keyword ：
aeroelastic flutter aeroelastic flutter feedback control feedback control piezoelectric material piezoelectric material graphene nanoplatelets graphene nanoplatelets
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| GB/T 7714 | Chen, Jie , Han, Ruofan , Liu, Dekun et al. Active Flutter Suppression and Aeroelastic Response of Functionally Graded Multilayer Graphene Nanoplatelet Reinforced Plates with Piezoelectric Patch [J]. | APPLIED SCIENCES-BASEL , 2022 , 12 (3) . |
| MLA | Chen, Jie et al. "Active Flutter Suppression and Aeroelastic Response of Functionally Graded Multilayer Graphene Nanoplatelet Reinforced Plates with Piezoelectric Patch" . | APPLIED SCIENCES-BASEL 12 . 3 (2022) . |
| APA | Chen, Jie , Han, Ruofan , Liu, Dekun , Zhang, Wei . Active Flutter Suppression and Aeroelastic Response of Functionally Graded Multilayer Graphene Nanoplatelet Reinforced Plates with Piezoelectric Patch . | APPLIED SCIENCES-BASEL , 2022 , 12 (3) . |
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Abstract ：
The stability and vibration of the telescopic wing are studied by the theoretical, numerical and experimental methods when the wing is in the deployment and retraction. The telescopic wing is simplified to a telescopic cantilevered laminated composite rectangular plate subjected to the first-order aerodynamic force and in-plane excitation. The time-varying dynamic characteristics of the telescopic cantilevered laminated composite rectangular plate are investigated by using the analytical, numerical and experimental methods. The approximate analytical solution of the nonlinear time-varying system is obtained by using the improved averaging method. Compared with numerical simulations, the approximate analytical results demonstrate a good agreement. The stability of the telescopic cantilever plate during the deploying process is studied by using the eigenvalue method, which demonstrates the effect of the velocity, acceleration and thickness on the stability of the deployment. The experimental results are consistent with the theoretical results and provide the theoretical basis and technical support for the axial moving wing.
Keyword ：
Averaging method Averaging method Experimental research Experimental research Time-varying dynamic characteristic Time-varying dynamic characteristic Telescopic wing Telescopic wing
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| GB/T 7714 | Zhang, W. , Gao, Y. H. , Lu, S. F. . Theoretical, Numerical and Experimental Researches on Time-Varying Dynamics of Telescopic Wing [J]. | JOURNAL OF SOUND AND VIBRATION , 2022 , 522 . |
| MLA | Zhang, W. et al. "Theoretical, Numerical and Experimental Researches on Time-Varying Dynamics of Telescopic Wing" . | JOURNAL OF SOUND AND VIBRATION 522 (2022) . |
| APA | Zhang, W. , Gao, Y. H. , Lu, S. F. . Theoretical, Numerical and Experimental Researches on Time-Varying Dynamics of Telescopic Wing . | JOURNAL OF SOUND AND VIBRATION , 2022 , 522 . |
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Abstract ：
<正>介绍本文基于三阶剪切变形理论(TSDT)开发了包括一种von Kármán几何非线性功能梯度弯曲梁模型,在所提出的模型中加入了梯形形状因子,消除了由几何曲率引起的误差。控制运动方程由拉格朗日方程导出,并使用标准Newmark迭代法结合Newton-Raphson法求解。进行了一些比较,表明我们模型的结果与半解析解非常吻合。之后,通过利用所提出的模型,集中研究了由石墨烯氧化物(GO)纳米填料增强的功能梯度多层弯曲梁在移动载荷下的非线性瞬态响应。通过实施改进的Halpin-Tsai细观力学方法来确定GO聚合物纳米复合材料的有效模量,并使用混合规则计算其质量密度和泊松比。假定弯曲梁位于粘-Pasternak基础上,研究了GO纳米填料的重量分数、分布模式和尺寸对承受移动载荷的纳米复合材料弯曲梁的非线性动态响应的影响。此外,半径跨度比和粘-Pasternak基础对弯曲梁非线性动力响应的影响也作为子主题进行了讨论。
Keyword ：
移动荷载 移动荷载 功能梯度 功能梯度 动响应分析 动响应分析 分布模式 分布模式 氧化石墨烯 氧化石墨烯 纳米填料 纳米填料
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| GB/T 7714 | 王春晓 , 王岳武 , 张伟 . 移动荷载作用下功能梯度氧化石墨烯增强曲梁的非线性动响应分析 [C] //中国力学大会-2021+1论文集（第五册） . 2022 . |
| MLA | 王春晓 et al. "移动荷载作用下功能梯度氧化石墨烯增强曲梁的非线性动响应分析" 中国力学大会-2021+1论文集（第五册） . (2022) . |
| APA | 王春晓 , 王岳武 , 张伟 . 移动荷载作用下功能梯度氧化石墨烯增强曲梁的非线性动响应分析 中国力学大会-2021+1论文集（第五册） . (2022) . |
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Abstract ：
The nonlinear vibrations and dynamic snap-through behaviors are studied for a four-corner simply supported bistable asymmetric laminated composite square shell under the foundation excitation by using the theoretical, Abaqus finite element (FE) and experiment approaches. The first-order shear deformation shell theory and Hamilton principle are adopted to derive the partial differential governing equations of motion. A novel type of nonlinear strain-displacement relations is given by Sander's strain. Galerkin approach is utilized to discretize the partial differential equations of motion into a three-degree-of-freedom system. The natural frequencies and vibration modes of the bistable shell are calculated by using Chebyshev polynomial method. The nonlinear vibrations and dynamic snap-through are investigated by using the maximum Lyapunov exponent, bifurcation diagrams, time histories, phase portraits, 3D phase portraits and Poincare maps. The theoretical results of the vibrations are well compared with those of the FE and experiment. The effects of the excitation and structural parameters on the dynamic snap through and nonlinear vibrations are fully discussed. The influences of the initial radius of the curvature on the critical load of the dynamic snap-through behaviors and rule of the chaotic vibrations are analyzed for the bistable asymmetric laminated composite shell.
Keyword ：
Nonlinear vibrations Nonlinear vibrations Four-corner simply supported bistable Four-corner simply supported bistable Dynamic snap-through Dynamic snap-through asymmetric laminated composite shell asymmetric laminated composite shell Double-well chaotic vibrations Double-well chaotic vibrations
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| GB/T 7714 | Wu, M. Q. , Zhang, W. , Chronopoulos, D. . Nonlinear vibrations and dynamic snap-through behaviors of four-corner simply supported bistable asymmetric laminated composite square shell [J]. | MECHANICAL SYSTEMS AND SIGNAL PROCESSING , 2022 , 173 . |
| MLA | Wu, M. Q. et al. "Nonlinear vibrations and dynamic snap-through behaviors of four-corner simply supported bistable asymmetric laminated composite square shell" . | MECHANICAL SYSTEMS AND SIGNAL PROCESSING 173 (2022) . |
| APA | Wu, M. Q. , Zhang, W. , Chronopoulos, D. . Nonlinear vibrations and dynamic snap-through behaviors of four-corner simply supported bistable asymmetric laminated composite square shell . | MECHANICAL SYSTEMS AND SIGNAL PROCESSING , 2022 , 173 . |
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Abstract ：
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.
Keyword ：
Meshless simulation Meshless simulation Molecular dynamics Molecular dynamics CNT composite CNT composite Nonlinear vibration Nonlinear vibration CNT volume fraction CNT volume fraction 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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Abstract ：
The nonlinear and chaotic vibrations of the rotating functionally graded graphene platelet reinforced composite (FG-GPLRC) pre-twisted blade subjected to the aerodynamic force are investigated by taking into account the cantilever boundary condition. The rotating FG-GPLRC pre-twisted blade is simplified to a rotating FG-GPLRC pre-twisted cylindrical panel. The graphene platelets (GPLs) are dispersed uniformly and oriented randomly in every layer while the GPL volume fractions vary from the layer to layer, which leads to four different GPL distribution patterns. Based on the strain-displacement relationship of the pre-twisted cylindrical panel derived by Green strain tensor, the natural frequencies of the rotating FG-GPLRC pre-twisted cylindrical panel are obtained by using the first-order shear deformation theory and Chebyshev-Ritz method. Lagrange's formulation is used to derive the nonlinear ordinary differential equations of motion. The complex chaotic vibrations of the rotating FG-GPLRC pre-twisted cylindrical panel are investigated by performing numerical simulations on the basis of Runge-Kutta algorithm. The bifurcation diagrams, Lyapunov exponents, time histories, phase portraits and Poincare maps are depicted to detect the periodic and chaotic vibrations of the rotating FG-GPLRC pre -twisted cylindrical panel with different parameters, such as Coriolis force, GPL distribution pattern, steady-state rotating speed, perturbation rotating speed and aerodynamic force. The double-parameter maximum Lyapunov exponent is regarded as an effective method to detect the chaotic regions of the rotating FG-GPLRC pre-twisted cylindrical panel.
Keyword ：
Lagrange?s formulation Lagrange?s formulation Pre-twisted cylindrical panel Pre-twisted cylindrical panel Rotating blade Rotating blade Graphene platelets Graphene platelets Double-parameter bifurcation diagram Double-parameter bifurcation diagram
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| GB/T 7714 | Zhang, Y. F. , Niu, Y. , Zhang, W. . Nonlinear and chaotic vibrations of rotating functionally graded GPL reinforced composite pre-twisted blade subjected to aerodynamic force [J]. | THIN-WALLED STRUCTURES , 2022 , 181 . |
| MLA | Zhang, Y. F. et al. "Nonlinear and chaotic vibrations of rotating functionally graded GPL reinforced composite pre-twisted blade subjected to aerodynamic force" . | THIN-WALLED STRUCTURES 181 (2022) . |
| APA | Zhang, Y. F. , Niu, Y. , Zhang, W. . Nonlinear and chaotic vibrations of rotating functionally graded GPL reinforced composite pre-twisted blade subjected to aerodynamic force . | THIN-WALLED STRUCTURES , 2022 , 181 . |
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