Principal parametric resonance of axially accelerating rectangular thin plate in magnetic field

Nonlinear parametric vibration and stability is investigated for an axially accelerating rectangular thin plate subjected to parametric excitations resulting from the axial time-varying tension and axial time-varying speed in the magnetic field. Consid- ering geometric nonlinearity, based on the expressions of total kinetic energy, potential energy, and electromagnetic force, the nonlinear magneto-elastic vibration equations of axially moving rectangular thin plate are derived by using the Hamilton principle. Based on displacement mode hypothesis, by using the Galerkin method, the nonlinear para- metric oscillation equation of the axially moving rectangular thin plate with four simply supported edges in the transverse magnetic field is obtained. The nonlinear principal parametric resonance amplitude-frequency equation is further derived by means of the multiple-scale method. The stability of the steady-state solution is also discussed, and the critical condition of stability is determined. As numerical examples for an axially moving rectangular thin plate, the influences of the detuning parameter, axial speed, axial tension, and magnetic induction intensity on the principal parametric resonance behavior are investigated.     

简谐激励作用下轴向运动梁横向振动特性分析

为分析简谐激励作用下轴向运动梁的横向振动问题,采用单元数目及长度固定不变、节点参数在不同时间步下无缝传递的节点生死方法,建立了时变系统的动力学有限元模型,通过已有实例验证了模型的准确性和有效性。在此基础上,分析了架设速度、激励力频率和幅值对某型平推式军用桥梁架设过程横向动力响应的影响规律。结果表明,在架设过程中,当桥梁的时变固有频率与激励力频率接近时,桥梁位移动态响应呈共振的特点,据此提出了减小某型平推式军用桥梁架设过程动力响应的措施。     

不同代硝基芳基苄醚树枝配体轴向取代硅(Ⅳ)酞菁光物理性质的比较

在二氯硅酞菁轴向位置引入硝基芳基苄醚树枝配体是一种减少酞菁配合物聚集体形成,提高其光动力活性的有效方法。本文采用UV/Vis、稳态和瞬态荧光光谱法比较了1-3代硝基芳基苄醚树枝配体轴向取代硅(Ⅳ)酞菁的光物理性质。研究结果表明,随着轴向树枝配体代数的增加,Q带最大吸收峰强度增大,酞菁核荧光强度增强,荧光量子产率降低,荧光寿命增长。研究结果将为开发轴向取代硅(Ⅳ)酞菁配合物作为新型光敏剂提供重要的理论依据。     

双间隙同轴腔加载波导滤波器输出回路设计

采用高次模同轴输出腔结构和双间隙耦合谐振腔电路结构是提高速调管频率、功率和带宽的两个重要方式。将这两种电路形式相结合,利用等效电路法推导了滤波器加载双间隙耦合输出回路的间隙阻抗实部计算公式。通过等效电路分析和3维电磁场计算软件模拟,研究了降低高次模式双间隙耦合输出回路外观品质因数的方法。最终设计加载滤波器使得输出回路模型带宽达到9.7%。     

Collective excitations in a confined,interacting dilute Bose-condensed fluid

In the Thomas–Fermi (TF) regime, S. Stringari [Phys. Rev. Lett., 77, 2360 (1996)] established the hydrodynamic normal modes of an interacting dilute Bose-condensed fluid confined in an isotropic harmonic trap. Here, we extend this treatment beyond the TF condensate using the work of B. Hu, G. Huang and Y. Ma [Phys. Rev. A, 69, 063608 (2004)] as a starting point. Both numerical results for low-lying eigenfrequencies, for various angular momentum quantum numbers???and n?=?0, and also samples of corresponding eigenfunctions, are presented. Finally, eigenfrequencies are also given for some collective excitations in an axially symmetrical trap.     

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通过对拱顶储罐罐壁承受轴向载荷、初始几何缺陷及轴压失稳状况研究,指 出在固定顶罐设计、建造和运行各阶段都应进行罐壁轴压稳定性校核. 根据圆柱薄壳稳定性 理论和轴压失稳临界应力数值分析计算结果,提出固定顶罐罐壁轴压稳定性校核方法和数学 模型,并运用回归分析方法建立罐壁轴压失稳临界应力计算公式. 对几种常用规格的拱顶罐 有初始挠度缺陷罐壁轴压稳定性分析表明：随储罐容积和罐壁初始挠度增大,罐壁轴压稳定 性呈减弱趋势.     

冲击波作用下铝的准弹性卸载行为

根据一维应变冲击波的基本关系,将Cochran 等定义的有效剪切模量与准弹性卸载过程的纵波和体波声速关联起来,并藉此研究了冲击波作用下铝的准弹性卸载特性. 利用VISAR高压声速测量技术获得了LY12铝在20$\sim$100\,GPa压力下沿着准弹性卸载过程的有效剪切模量,结果表明LY12铝的有效剪切模量随卸载应力的下降而迅速下降. 采用与卸载应力成线性关系的方程对有效剪切模量进行了近似描述,该方程的斜率随初始冲击压力的增加而增加,体现了准弹性卸载行为的压力相关性. 将有效剪切模量结果与准静态实验结果进行了比较,由此分析了冲击波作用下准弹性卸载过程的可能物理机制. 应用有效剪切模量方程对6061铝合金的准弹性行为进行了模拟,计算结果与实验结果符合很好.      

Study on the pre-chopper in CSNS LEBT

Physical designing of the pre-chopper in CSNS LEBT is carried out,which includes the deflecting voltage,the length and the width of the deflecting plates,and the gap between the deflecting plates.The most outstanding feature of the design is that both the gap and the width vary with the beam envelope size.So both the requried deflecting voltage and the loaded capacitance are lowered.In order to avoid destruction of the space charge neutralization by the pre-chopper in the whole LEBT,an electron-trapping electrode is arranged to confine the electrostatic field of the pre-chopper to the local area.To examine the reliability of the pre-chopping design in CSNS LEBT,a similar pre-chopping design in ADS RFQ LEBT is set up and an experiment on the pre-chopper is prepared.3-dimensional simulations are carried out to determine the loaded capacitance and the applied voltage of the electron-trapping electrode.     

随从力作用下热弹耦合轴向运动梁的稳定性

研究了切向均布随从力作用下热弹耦合轴向运动梁的稳定性问题。建立了热弹耦合轴向运动梁 在随从力作用下的运动微分方程,采用归一化幂级数法,推导出了2种边界条件下热弹耦合轴向运动梁在随 从力作用下的特征方程。计算了系统的前3阶量纲一复频率,分析了量纲一运动速度、量纲一热弹耦合系数 和量纲一随从力等参数对梁的稳定性的影响。     

Non-linear modal analysis for beams subjected to axial loads: Analytical and finite-element solutions

A rigorous derivation of non-linear equations governing the dynamics of an axially loaded beam is given with a clear focus to develop robust low-dimensional models. Two important loading scenarios were considered, where a structure is subjected to a uniformly distributed axial and a thrust force. These loads are to mimic the main forces acting on an offshore riser, for which an analytical methodology has been developed and applied. In particular, non-linear normal modes (NNMs) and non-linear multi-modes (NMMs) have been constructed by using the method of multiple scales. This is to effectively analyse the transversal vibration responses by monitoring the modal responses and mode interactions. The developed analytical models have been crosschecked against the results from FEM simulation. The FEM model having 26 elements and 77 degrees-of-freedom gave similar results as the low-dimensional (one degree-of-freedom) non-linear oscillator, which was developed by constructing a so-called invariant manifold. The comparisons of the dynamical responses were made in terms of time histories, phase portraits and mode shapes.