Numerical simulations of a continuously injected relativistic electron beam relaxation into a plasma with large-scale density gradients

In this paper the influence of large-scale decreasing and increasing gradients of the density of magnetized plasma on the relaxation process of a continuously injected relativistic electron beam with an energy of 660 keV ($v_b=0.9c$) and a pitch-angle distribution is studied using particle-in-cell numerical simulations. It is found that for the selected parameters in the case of a smoothly decreasing gradient and in a homogeneous plasma the formation of spatially limited plasma oscillations of large amplitude occurs. In such cases, modulation instability develops and a long-wave longitudinal modulation of the ion density is formed. In addition, the large amplitude of plasma waves accelerates plasma electrons to energies on the order of the beam energy. In the case of increasing and sharply decreasing gradients, a significant decrease in the amplitude of plasma oscillations and the formation of a turbulent ion density spectrum are observed. The possibility of acceleration of beam electrons to energies more than 2 times higher than the initial energy of the beam particles is also demonstrated. This process takes place not only during beam propagation in growing plasma density, but also in homogeneous plasma due to interaction of beam particles with plasma oscillations of large amplitude.     

移动质量法结合分形维数的旋转梁损伤检测

旋转梁结构广泛应用于航空工程领域,其健康状况直接关系着航空器的飞行安全,对旋转梁结构进行损伤检测能够及时发现损伤,从而避免因结构损伤而造成的重大损失。以变截面旋转裂纹梁为研究对象,通过移动质量法结合分形维数理论进行损伤检测。首先建立质量块-裂纹梁模型,计算得到固有频率随质量块位置变动曲线;然后运用分形维数理论得到固有频率曲线的分形维数曲线,进而识别出梁的损伤位置及其损伤程度;最后讨论裂纹位置、损伤程度、附加质量块大小以及转速对损伤检测的影响。结果表明:所提出的将移动质量法与分形维数理论相结合来进行损伤检测的方法,能够准确地识别损伤位置,还能够定性地反映出损伤程度。     

基于半理论法预测基础激励下纤维增强悬臂梁结构应变能

提出了半理论法预测基础激励下纤维增强悬臂梁结构应变能。首先，建立了基础激励下纤维增强复合梁结构的应变能分析模型。然后，明确了采用半理论法预测纤维增强悬臂梁应变能的相关原理，并给出预测纤维增强悬臂梁应变能的具体流程。最后，测试获得该类型梁结构在某基础激励幅度下的振动位移响应，验证所建立的应变能分析模型的正确性，可以采用半理论法来分析预测复合梁的应变能，同时还与相同尺寸的铝合金梁的预测结果进行了对比。结果证明:在相同激励幅度下，纤维增强悬臂梁的应变能相对于铝合金梁结构要低于24%~36%，可以利用应变能指标来客观评价复合结构件相对于金属构件的减振能力。