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摘要 :
In this paper, a double-disc rotor system with two support rolling bearings is reduced by the proper orthogonal decomposition (POD) method. The finite element method (FEM) is used to establish the rotor system model (96DOFs). The basic theory of the POD method and the concrete expression in the rotor system is introduced. The rotor system is reduced to 12, 5, and 2 DOFs by the POD method, respectively. The time history curves, and frequency spectrums of the reduced and original systems are compared for verifying the accuracy of the POD method. The 2-DOFs reduced system is solved by the Harmonic balance and alternating frequency/time domain (HB-AFT), whose results are in good agreement with those by the Runge-Kutta method.
关键词 :
High-dimensional dynamic system High-dimensional dynamic system Order reduction Order reduction Nonlinear vibration Nonlinear vibration Rotor dynamics Rotor dynamics POD method POD method
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GB/T 7714 | Lu, Kuan , Guo, Dong , Cheng, Hui et al. Dynamic response analysis of a double-disc rotor system with rolling bearings based on POD method [J]. | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS , 2024 , 158 . |
MLA | Lu, Kuan et al. "Dynamic response analysis of a double-disc rotor system with rolling bearings based on POD method" . | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 158 (2024) . |
APA | Lu, Kuan , Guo, Dong , Cheng, Hui , Zhang, Wei , Zhang, Haopeng , Fu, Chao . Dynamic response analysis of a double-disc rotor system with rolling bearings based on POD method . | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS , 2024 , 158 . |
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摘要 :
The nonlinear dynamic characteristics of a flexible beam-ring structure under fundamental harmonic excitation are systematically investigated. The nonlinear partial differential governing equations of motion for the beam-ring structure are derived by using Hamilton's principle and discretized into two coupled ordinary differential equations including quadratic and cubic nonlinearities by Galerkin's technique. The potential internal resonance relationship of the beam-ring structure is recognized through analyzing the mode shapes and linear frequencies. The method of multiple scales is utilized to approximately analyze the dynamic system and yield a set of autonomous equations under the case of 1:1 internal resonance and a primary resonance. The amplitude-frequency characteristics and the stability of the steady-state responses are studied numerically. The frequency-response curves show that some parameters of the amplitude-frequency equations have significant contributions to the nonlinear responses near resonance of the beam-ring structure. Finally, the bifurcation diagram is obtained and the Poincare map, power spectra and the largest Lyapunov exponent are used to identify the nonlinear dynamic behaviors of the beam-ring structure. From the numerical simulations, it is found that there exist typical nonlinear phenomena such as multi-value solutions, jumps, bifurcations, multiple periodic and chaotic motions in the beam-ring system. This work also proposes a reference for non-linear modeling and dynamic analysis of similar complex structures. (c) 2023 Elsevier Inc. All rights reserved.
关键词 :
Bifurcation Bifurcation Nonlinear vibration Nonlinear vibration Beam-ring structure Beam-ring structure Amplitude-frequency characteristics Amplitude-frequency characteristics Internal resonance Internal resonance
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GB/T 7714 | Wu, R. Q. , Zhang, W. , Chen, J. E. et al. Nonlinear vibration and stability analysis of a flexible beam-ring structure with one-to-one internal resonance [J]. | APPLIED MATHEMATICAL MODELLING , 2023 , 119 : 316-337 . |
MLA | Wu, R. Q. et al. "Nonlinear vibration and stability analysis of a flexible beam-ring structure with one-to-one internal resonance" . | APPLIED MATHEMATICAL MODELLING 119 (2023) : 316-337 . |
APA | Wu, R. Q. , Zhang, W. , Chen, J. E. , Feng, J. J. , Hu, W. H. . Nonlinear vibration and stability analysis of a flexible beam-ring structure with one-to-one internal resonance . | APPLIED MATHEMATICAL MODELLING , 2023 , 119 , 316-337 . |
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摘要 :
Mean motion resonance sometimes ensures the stable motions of the celestial bodies in multi-planetary systems. The resonant orbits provide a stabilizing mechanism for maintaining our solar system and extrasolar planetary systems. This paper focuses on the dynamical effect of eccentricity on the stability of the 3:5 external resonant orbits in the planar circular restricted three body problem (Star-Planet-Asteroid). We computed numerically the Poincare section of this model. We found that the initial eccentricity of the asteroid has a significant effect on the stability of the resonant orbits. The topology of this Poincare section changes three times with increasing eccentricity. With the help of the Poincare section, we obtained some periodic, quasi-periodic, and chaotic orbits. We also plotted the resonant region in (?, e, a) space. ? is the angular separation of the asteroid pericenter and the planet, and e and a are the eccentricity and semimajor axis of the asteroid, respectively.
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GB/T 7714 | Zhu, Di , Zhang, Wei , Zuo, Hongkun et al. The dynamics of the resonance in a 3:5 external resonant model [J]. | AIP ADVANCES , 2023 , 13 (6) . |
MLA | Zhu, Di et al. "The dynamics of the resonance in a 3:5 external resonant model" . | AIP ADVANCES 13 . 6 (2023) . |
APA | Zhu, Di , Zhang, Wei , Zuo, Hongkun , Zhou, Yi . The dynamics of the resonance in a 3:5 external resonant model . | AIP ADVANCES , 2023 , 13 (6) . |
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摘要 :
A robust control method is developed to suppress the vibrations of the functionally graded carbon nanotube-reinforced (FG-CNTR) piezoelectric laminated composite cantilever plate subjected to the aerodynamic force and thermal environment. The distributions of the carbon nanotubes (CNTs) in the entire plate thickness are classified as the functionally graded (FG) or uniform distributions (UD). The effective material properties are obtained using the rule of mixtures. The classic laminated composite plate theory and Hamilton principle are used to establish the governing equations of motion for the FG-CNTR laminated composite cantilever plate under combined the aerodynamic force and thermal environment. Galerkin method is used to obtain a two-degree-of-freedom ordinary differential control equation. To actively suppress the vibration, the piezoelectric patches are used as the actuators and sensors which are attached to the upper and lower surfaces of the FG-CNTR laminated composite cantilever plate. A full-dimensional state observer is introduced to design the robust controller. To verify the efficiency of the control strategy, a comparison between the robust controller and velocity feedback controller (VFC) indicates that the robust controller has better control efficiency than the VFC. The effects of the CNT distribution, CNT volume fraction, temperature and aspect ratio on the dynamic behaviors of the laminated composite plates are studied. The effectiveness and accuracy of the proposed robust controller are verified through numerical simulations under different cases.
关键词 :
Aerodynamics force Aerodynamics force Full-dimensional state observer Full-dimensional state observer Thermal environment Thermal environment FG-CNTR cantilever plate FG-CNTR cantilever plate Vibration reduction Vibration reduction
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GB/T 7714 | Lu, S. F. , Li, H. J. , Zhang, W. et al. Vibration reduction of FG-CNTR piezoelectric laminated composite cantilever plate under aerodynamic load using full-dimensional state observer [J]. | ENGINEERING STRUCTURES , 2022 , 255 . |
MLA | Lu, S. F. et al. "Vibration reduction of FG-CNTR piezoelectric laminated composite cantilever plate under aerodynamic load using full-dimensional state observer" . | ENGINEERING STRUCTURES 255 (2022) . |
APA | Lu, S. F. , Li, H. J. , Zhang, W. , Song, X. J. . Vibration reduction of FG-CNTR piezoelectric laminated composite cantilever plate under aerodynamic load using full-dimensional state observer . | ENGINEERING STRUCTURES , 2022 , 255 . |
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摘要 :
This paper establishes a mathematical model to analyze the static and dynamic behaviors of functionally graded graphene reinforced composite (FG-GRC) beam with geometric imperfection subjected to thermo-electro-mechanical load. Three different geometric imperfections are considered. Four different distribution patterns of graphene nanoplatelets (GPLs) are taken into consideration. The effective properties of the geometrically imperfect FG-GRC beam are estimated by the modified Halpin-Tsai model and rule of mixture. The nonlinear partial differential governing equations are deduced based on first -order shear deformation theory, von Karman nonlinear displacement-strain relationship and Hamilton principle, and discretized as ordinary differential forms through the differential quadrature (DQ) method. Newmark-beta method and iteration method are employed to numerically solve the governing equations. The effects of geometric imperfection, GPLs and piezoelectric actuators on bending and vibration of the geometrically imperfect FG-GRC beam subjected to thermo-electro-mechanical load are comprehensively investigated. The results clearly demonstrate that the coupling effect of geometric imperfections and thermo-electric-mechanical loads can introduce an additional transverse load acting along the length of the geometrically imperfect FG-GRC beam, and hence makes a significant difference on its static and dynamic behaviors. (C) 2022 Elsevier Masson SAS. All rights reserved.
关键词 :
Geometric imperfection Geometric imperfection Bending Bending Graphene reinforced composite Graphene reinforced composite Functionally graded materials Functionally graded materials Vibrations Vibrations Thermo-electro-mechanical load Thermo-electro-mechanical load
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GB/T 7714 | Guo, Li-Jia , Mao, Jia-Jia , Zhang, Wei et al. Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics [J]. | AEROSPACE SCIENCE AND TECHNOLOGY , 2022 , 127 . |
MLA | Guo, Li-Jia et al. "Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics" . | AEROSPACE SCIENCE AND TECHNOLOGY 127 (2022) . |
APA | Guo, Li-Jia , Mao, Jia-Jia , Zhang, Wei , Liu, Ya-Ze , Chen, Jie , Zhao, Wei . Modeling and analyze of behaviors of functionally graded graphene reinforced composite beam with geometric imperfection in multiphysics . | AEROSPACE SCIENCE AND TECHNOLOGY , 2022 , 127 . |
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摘要 :
本发明公开一种桥头跳车防治装置及施工方法,包括桥台上设置有梁体,与桥台对应设置有路基,路基和桥台之间设置有桥头跳车防治机构;桥头跳车防治机构包括接近路基设置的挡墙和设置在桥头和路基上的防治部;防治部包括设置在桥台和路基上的搭板,搭板上设置有搭板层叠垫层,搭板层叠垫层包括橡胶层和碳纤维板层,搭板与桥台之间设置有搭板抗扰动装置;本发明公开的桥头跳车防治装置及施工方法,不仅可以解决雨水渗入搭板下方,对路基产生冲刷和侵蚀,造成粒料流失并增加路基含水量,进而使得路基出现冻胀、融沉现象的问题,在提高路基刚度的同时,降低了桥头台阶形成的几率,更好解决桥头刚性结构物与柔性道路之间刚度突变的问题。
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GB/T 7714 | 魏中华 , 张伟 , 王铭乾 et al. 一种桥头跳车防治装置及施工方法 : CN202211466332.X[P]. | 2022-11-22 . |
MLA | 魏中华 et al. "一种桥头跳车防治装置及施工方法" : CN202211466332.X. | 2022-11-22 . |
APA | 魏中华 , 张伟 , 王铭乾 , 马厚强 . 一种桥头跳车防治装置及施工方法 : CN202211466332.X. | 2022-11-22 . |
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摘要 :
本发明公开一种智慧公路交通线性诱导装置,包括交通标杆,交通标杆内部具有第一光伏电池、集成式传感器、第一光源、第一控制器以及第一蓄电池,第一光伏电池、集成式传感器、第一光源以及第一蓄电池均与第一控制器电连接,集成式传感器具有温度、光敏、压力和位置的检测功能;交通标志设置于交通标杆的顶部,交通标志具有发光面和发电面,发光面上安装有第二光源,发电面上安装有第二控制器、第二蓄电池以及第二光伏电池。本发明的智慧公路交通线性诱导装置能够实现电力自给,自主发光,且具有质轻,强度大,性能稳定,环保,价格低,可批量生产的特点,并搭载物联网技术,服务于智慧公路建设。
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GB/T 7714 | 魏中华 , 张伟 , 王铭乾 . 一种智慧公路交通线性诱导装置 : CN202210024340.2[P]. | 2022-01-07 . |
MLA | 魏中华 et al. "一种智慧公路交通线性诱导装置" : CN202210024340.2. | 2022-01-07 . |
APA | 魏中华 , 张伟 , 王铭乾 . 一种智慧公路交通线性诱导装置 : CN202210024340.2. | 2022-01-07 . |
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摘要 :
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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摘要 :
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.
关键词 :
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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摘要 :
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.
关键词 :
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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