Modal analysis of the 32-stage modular Marx generator
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摘要: 模态分析可以获得结构的动特性参数。对32级模块化Marx发生器机芯进行了力学特性仿真分析和模态试验,用以评估Marx发生器的力学环境适应性。首先,建立了模块化Marx机芯的有限元模型,获得了初步振型;其次,在自由边界条件下分别开展了Marx机芯整体模态试验、局部模态试验和传递特性试验,得到了整体和局部结构的模态参数。研究表明,模块化Marx机芯在23.58 Hz处出现整体一阶扭转;机芯局部结构固有频率较高;机芯在x,y,z三个方向的振动传递率的范围分别为5~15,6~10和10~35,为后续工程中Marx发生器机芯的针对性设计提供了参考。Abstract: The dynamic characteristic parameters of the Marx generator can be obtained by modal analysis. In this paper, the simulation analysis and modal experiment of the 32-stage modular Marx generator are conducted to evaluate its mechanical environment adaptability. Firstly, the finite element simulation model of the modular Marx generator is constructed, and the initial vibration modes are acquired. Secondly, under free boundary condition, the integral modal experiment, local modal experiment and transfer characteristic experiment are conducted respectively. In the end, the integral and local modal parameters are calculated. Results show that the 32-stage modular Marx generator has a first-order torsion at 23.58 Hz; the inherent frequency of local structure of the Marx generator is relatively high; the vibration transmissibility scopes on x, y and z axis are respectively 5−15, 6−10 and 10−35. These conclusions provide reference to design Marx generator in later engineering phase.
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Key words:
- Marx generator /
- random vibration /
- finite element analysis /
- vibration and shock /
- modal analysis
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表 1 材料参数
Table 1. Parameters of the materials
material Young modulus/GPa Poisson’s ratio density/(kg·m−3) stainless steel 190 0.33 8000 glass fiber 37.2 0.25 2440 MC nylon 31.9 0.40 1150 表 2 自由边界整体模态试验结果
Table 2. Integral modal analysis results under free boundary condition
frequency/Hz damping ratio/% mode of vibration 23.58 1.50 overall first-order torsion 30.76 1.31 overall first-order bend in y direction 34.33 0.99 overall first-order bend in z direction 48.76 0.98 approximate second-order bend in z direction 63.31 0.92 overall second-order torsion 70.93 1.40 the phase of glass fiber side plate
in x direction is opposite75.14 1.91 overall second-order bend in z direction 表 3 自由边界局部模态试验结果
Table 3. Local modal test results under free boundary condition
frequency/Hz corresponding part 100.6,151.3 upper shielded ring at the outermost of the 4th module 129.4,188.7 upper shielded ring at the outermost of the 3rd module 59.28,206.3 capacitor and switch of the 4th module 58.59,219.8 capacitor and switch of the 3rd module 124.9,225.8 U-shape support rod of the 1st module -
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