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学者姓名：杨晓东
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摘要 ：
本文研究了一种二维三角陀螺声子晶体,采用拉格朗日方程对结构进行建模,推导出动力学方程.通过调节陀螺转速,可以控制结构的色散关系,并获得较大的带隙,从而可以将其用来进行振动控制和噪声抑制.从色散曲面等频截线发现波在结构中的传播方向会随频率变化,在低频时各向同等传播,高频时则出现六个集中的传播方向.通过数值计算验证了理论获得的带隙的准确性.
关键词 ：
带隙 带隙 陀螺 陀螺 波调控 波调控 声子晶体 声子晶体 振动控制 振动控制
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| GB/T 7714 | 王伟能 , 杨晓东 , 张伟 . 二维三角陀螺声子晶体的波调控研究 [J]. | 动力学与控制学报 , 2021 , 19 (1) : 75-79 . |
| MLA | 王伟能 等. "二维三角陀螺声子晶体的波调控研究" . | 动力学与控制学报 19 . 1 (2021) : 75-79 . |
| APA | 王伟能 , 杨晓东 , 张伟 . 二维三角陀螺声子晶体的波调控研究 . | 动力学与控制学报 , 2021 , 19 (1) , 75-79 . |
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摘要 ：
针对主星是细长型小行星，而次星是小而规则天体的双小行星系统，采用偶极子—粒子模型，建立了普适性的引力场模型，研究了系统平衡点附近的局部动力学及周期轨道问题。研究了同步状态下系统参数对平衡点位置、稳定性和变化趋势的影响，并给出了非共线平衡点的线性稳定域，计算了在非同步双小行星系统的等效平衡点的轨迹。结合路径搜索修正法和伪弧长延拓方法得到同步双小行星系统共线平衡点附近的1∶1共振轨道族。该研究能为双小行星系统探测中轨道设计问题提供理论基础。
关键词 ：
双小行星 双小行星 偶极子模型 偶极子模型 平衡点 平衡点 伪弧长延拓 伪弧长延拓 共振轨道族 共振轨道族
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| GB/T 7714 | 李旭 , 钱霙婧 , 杨晓东 et al. 基于偶极子模型的双小行星系统平衡点特性研究 [J]. | 工程力学 , 2021 , (12) : 232-248 . |
| MLA | 李旭 et al. "基于偶极子模型的双小行星系统平衡点特性研究" . | 工程力学 12 (2021) : 232-248 . |
| APA | 李旭 , 钱霙婧 , 杨晓东 , 张伟 . 基于偶极子模型的双小行星系统平衡点特性研究 . | 工程力学 , 2021 , (12) , 232-248 . |
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摘要 ：
二维三角陀螺声子晶体的波调控研究
关键词 ：
振动控制 振动控制 带隙 带隙 声子晶体 声子晶体 波调控 波调控 陀螺 陀螺
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| GB/T 7714 | 王伟能 , 杨晓东 , 张伟 et al. 二维三角陀螺声子晶体的波调控研究 [J]. | 王伟能 , 2021 , 19 (1) : 75-79 . |
| MLA | 王伟能 et al. "二维三角陀螺声子晶体的波调控研究" . | 王伟能 19 . 1 (2021) : 75-79 . |
| APA | 王伟能 , 杨晓东 , 张伟 , 动力学与控制学报 . 二维三角陀螺声子晶体的波调控研究 . | 王伟能 , 2021 , 19 (1) , 75-79 . |
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摘要 ：
非线性吸振器能够在较宽的频带范围有效的吸收主体结构的振动能量。并且动力吸振器附加质量、强非线性的刚度以及阻尼原件。非线性吸振器虽然没有恒定的固有频率,但会根据各个参数的改变影响其吸振效果,相比于线性吸振器,非线性吸振器可以在更加宽泛的频带吸收能量,但也对外激励的振幅有一定的要求。
关键词 ：
幅频曲线 幅频曲线 吸振器 吸振器 谐波平衡法 谐波平衡法 非线性 非线性
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| GB/T 7714 | 代秋雨 , 杨晓东 . 内嵌磁铁的硅凝胶膜吸振器的动力学特性分析 [C] //北京力学会第二十七届学术年会论文集 . 2021 . |
| MLA | 代秋雨 et al. "内嵌磁铁的硅凝胶膜吸振器的动力学特性分析" 北京力学会第二十七届学术年会论文集 . (2021) . |
| APA | 代秋雨 , 杨晓东 . 内嵌磁铁的硅凝胶膜吸振器的动力学特性分析 北京力学会第二十七届学术年会论文集 . (2021) . |
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摘要 ：
本文设计了一种由柔性梁-凸轮-滚子作为负刚度器件与水平阻尼相连接,再与垂直弹簧并联而成的准零刚度隔振器。在动态分析中,建立了其动力学方程,利用谐波平,衡法得到了其幅频响应关系,分析了系统参数对传递率影响。
关键词 ：
传递率 传递率 准零刚度 准零刚度 动力学方程 动力学方程
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| GB/T 7714 | 杨盼 , 杨晓东 . 准零刚度隔振器动力学建模及传递率分析 [C] //北京力学会第二十七届学术年会论文集 . 2021 . |
| MLA | 杨盼 et al. "准零刚度隔振器动力学建模及传递率分析" 北京力学会第二十七届学术年会论文集 . (2021) . |
| APA | 杨盼 , 杨晓东 . 准零刚度隔振器动力学建模及传递率分析 北京力学会第二十七届学术年会论文集 . (2021) . |
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摘要 ：
Nonlinear science has been an important symbol in the development of modern science, especially the researches in nonlinear dynamics and nonlinear waves have extraordinary significance in solving the complex phenomena and problems encountered in various fields of natural science. In this paper, the nonlinear bending wave propagation of a piezoelectric laminated beam with electrical boundary conditions is studied. Firstly, considering the geometric nonlinear effect and piezoelectric coupling effect, the nonlinear equation of the one-dimensional infinite rectangular piezoelectric laminated beams is established by using Hamiltonian principle. Secondly, the Jacobi elliptic function expansion method is used to treat the nonlinear flexural wave equation, and the corresponding shock wave solution and solitary wave solution of the nonlinear flexural wave equation are obtained in the approximate case. Last, the nonlinear Schrodinger equation is obtained by using the reduced perturbation method, and the bright and dark soliton solutions are further obtained. Moreover, the effects of external voltage and the thickness of the piezoelectric layer on the characteristics of shock wave and solitary wave as well as bright and dark solitons are studied. The results show that when the wave velocity is small, the external voltage has a great influence on the shock wave, and when the wave velocity is large, the external voltage has no effect on the solitary wave. The bright solitons and the dark solitons can be obtained by adjusting the external voltage applied to the piezoelectric laminated beam. It is found that the amplitudes of bright and dark solitons increase with the increase of external voltages. © 2021, Chinese Journal of Theoretical and Applied Mechanics Press. All right reserved.
关键词 ：
Acoustic wave velocity Acoustic wave velocity Control nonlinearities Control nonlinearities Laminating Laminating Nonlinear equations Nonlinear equations Perturbation techniques Perturbation techniques Piezoelectricity Piezoelectricity Schrodinger equation Schrodinger equation Shock waves Shock waves Solitons Solitons Wave equations Wave equations Wave propagation Wave propagation
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| GB/T 7714 | Zhao, Xining , Yang, Xiaodong , Zhang, Wei . Nonlinear bending waves of a piezoelectric laminated beam with electrical boundary [J]. | Chinese Journal of Theoretical and Applied Mechanics , 2021 , 53 (4) : 1124-1137 . |
| MLA | Zhao, Xining et al. "Nonlinear bending waves of a piezoelectric laminated beam with electrical boundary" . | Chinese Journal of Theoretical and Applied Mechanics 53 . 4 (2021) : 1124-1137 . |
| APA | Zhao, Xining , Yang, Xiaodong , Zhang, Wei . Nonlinear bending waves of a piezoelectric laminated beam with electrical boundary . | Chinese Journal of Theoretical and Applied Mechanics , 2021 , 53 (4) , 1124-1137 . |
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摘要 ：
非线性科学己成为近代科学发展的一个重要标志,特别是非线性动力学和非线性波的研究对于解决自然科学各领域中遇到的复杂现象和问题有着极其重要的意义.本文研究了含电学边界条件的压电层合梁的非线性弯曲波传播特性.首先,考虑几何非线性效应和压电耦合效应,利用哈密顿原理建立了一维无限长矩形压电层合梁弯曲波的非线性方程.其次,采用Jacobi椭圆函数展开法对非线性弯曲波方程进行求解,得到了非线性弯曲波动方程在近似情况下对应的冲击波解和孤波解.最后,利用约化摄动法得到了非线性薛定谔方程,进一步得到了亮孤子和暗孤子解.基于两种方法具体研究了外加电压、压电层厚度等参数对冲击波和孤立波以及亮孤子和暗孤子特性的影响.研...
关键词 ：
Jacobi椭圆函数 Jacobi椭圆函数 冲击波 冲击波 孤立波 孤立波 弯曲波 弯曲波 非线性薛定谔方程 非线性薛定谔方程
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| GB/T 7714 | 赵希宁 , 杨晓东 , 张伟 . 含电学边界的压电层合梁的非线性弯曲波 [J]. | 力学学报 , 2021 , 53 (04) : 1124-1137 . |
| MLA | 赵希宁 et al. "含电学边界的压电层合梁的非线性弯曲波" . | 力学学报 53 . 04 (2021) : 1124-1137 . |
| APA | 赵希宁 , 杨晓东 , 张伟 . 含电学边界的压电层合梁的非线性弯曲波 . | 力学学报 , 2021 , 53 (04) , 1124-1137 . |
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摘要 ：
In this study, a parametric amplification model of a vibrating beam micro-gyroscope is established with the effects of size-dependent and fringing field taken into account. Compared with conventional electrostatic beam gyroscopes, piezoelectric films are added to the four surfaces of the rectangular beam of vibrating micro-gyroscopes. Due to piezoelectric effect, the beam will be subjected to an axial excitation, which provides parametric amplification to enlarge the transverse vibration and to enhance the sensitivity. The effects of the size-dependent, fringing field and piezoelectric voltages on static deflection, eigenvalue analysis and dynamic amplification of the vibrating beam micro-gyroscopes are investigated. The influence of damping on the stability analysis of the gyroscopic system is also studied. When the frequency of parametric excitation is twice the natural frequency of the system, it is found that higher piezoelectric AC voltage amplitudes within the stable region are given in both sense and drive directions, which may generate a better sensitivity of the vibrating beam micro-gyroscope. © 2020
关键词 ：
Eigenvalues and eigenfunctions Eigenvalues and eigenfunctions Gyroscopes Gyroscopes Piezoelectricity Piezoelectricity
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| GB/T 7714 | Li, Wei , Yang, Xiao-Dong , Zhang, Wei et al. Parametric amplification performance analysis of a vibrating beam micro-gyroscope with size-dependent and fringing field effects [J]. | Applied Mathematical Modelling , 2021 , 91 : 111-124 . |
| MLA | Li, Wei et al. "Parametric amplification performance analysis of a vibrating beam micro-gyroscope with size-dependent and fringing field effects" . | Applied Mathematical Modelling 91 (2021) : 111-124 . |
| APA | Li, Wei , Yang, Xiao-Dong , Zhang, Wei , Ren, Yuan . Parametric amplification performance analysis of a vibrating beam micro-gyroscope with size-dependent and fringing field effects . | Applied Mathematical Modelling , 2021 , 91 , 111-124 . |
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摘要 ：
In this paper, an active control strategy is employed to actively tune the vibration and wave propagation properties in a piezoelectric metamaterial beam. The piezoelectric actuator and sensor are periodically arranged along the piezoelectric metamaterial beam. By using the extended Hamilton principle, the governing equations for the fully coupled piezoelectric metamaterial beam are obtained. The negative proportional feedback control strategy is introduced to achieve the periodical active stiffness for the piezoelectric metamaterial beam. The band structures and natural frequencies of the proposed periodic structure are derived by the transfer matrix method, and the spectral element method is applied as numerical validation. The influences of the feedback control gain ratio, length ratio, and the number of the unit cells on natural frequencies and bandgaps are discussed. Results indicate that the natural frequencies of the system are reduced with the increase in the feedback control gain ratio and length ratio. In addition, multiple bandgaps can be generated by using the negative proportional feedback control strategy. It is found that bandwidths can be obviously broadened by selecting the proper feedback control gain ratio and length ratio. The theoretical and numerical results show that the vibration and wave propagation properties of the proposed piezoelectric metamaterial beam can be controlled by using the negative proportional feedback control strategy.
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| GB/T 7714 | Zhao, Xi-Ning , Yang, Xiao-Dong , Zhang, Wei et al. Active tuning of elastic wave propagation in a piezoelectric metamaterial beam [J]. | AIP ADVANCES , 2021 , 11 (6) . |
| MLA | Zhao, Xi-Ning et al. "Active tuning of elastic wave propagation in a piezoelectric metamaterial beam" . | AIP ADVANCES 11 . 6 (2021) . |
| APA | Zhao, Xi-Ning , Yang, Xiao-Dong , Zhang, Wei , Pu, Huayan . Active tuning of elastic wave propagation in a piezoelectric metamaterial beam . | AIP ADVANCES , 2021 , 11 (6) . |
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摘要 ：
In order to explore the influence of combined gyroscopic coupling effect on the gyroscopic system, the dynamics of a beam undergoing both rotating and spinning motions as a bi-gyroscopic system is studied. The natural frequencies, modes, and stability of such a bi-gyroscopic system have been studied by the standard eigenvalue problems. The bifurcation series of frequencies and corresponding modal motions have been presented to show the gyroscopically coupled motions. The complex modes of the proposed bi-gyroscopic systems, such as whirling motions and in-plane reeling motions, have been illustrated.
关键词 ：
bifurcation bifurcation bi-gyroscopic beam bi-gyroscopic beam complex modes complex modes modal analysis modal analysis rotating structure rotating structure rotor dynamics rotor dynamics spinning structure spinning structure stability stability
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| GB/T 7714 | Yang, Ji-Hou , Yang, Xiao-Dong , Qian, Ying-Jing et al. A Novel Type of Bi-Gyroscopic System Undergoing Both Rotating and Spinning Motions [J]. | JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME , 2021 , 143 (3) . |
| MLA | Yang, Ji-Hou et al. "A Novel Type of Bi-Gyroscopic System Undergoing Both Rotating and Spinning Motions" . | JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME 143 . 3 (2021) . |
| APA | Yang, Ji-Hou , Yang, Xiao-Dong , Qian, Ying-Jing , Zhang, Wei . A Novel Type of Bi-Gyroscopic System Undergoing Both Rotating and Spinning Motions . | JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME , 2021 , 143 (3) . |
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