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中文摘要：
根据电液压脉冲技术基础理论，通过分析等离子体活塞膨胀的特点，建立了电液压脉冲放电等离子体活塞的数学模型，推导出放电通道内流体的液动力方程。对圆柱形对称放电通道的液动力特性进行分析，推导出无量纲微分方程。通过对微分方程的求解，得到了放电通道的液动力特性与时间的变化关系，以及液动力特性与放电回路的电气参数（电感、电容、电压和电阻）间的关系，从而可以预测放电通道内的压力、通道半径和通道的膨胀速度，为电液压脉冲技术的应用提供理论依据。
英文摘要：
Based on electro-hydraulic power pulsed technology and the characteristic of plasma piston expansion theory, the mathematical model of plasma piston is established and the hydrodynamic equations of fluid in discharge channel are induced. The nondimensional differential equations of hydrodynamic characteristics in cylindrical sym-metry discharge channel are analyzed. The relationships between the discharge time and hydrodynamic characteristics of discharge channel, the electricity parameters of discharge circuit is found by solving the differential equations, which predict the pressure, radius, and ratio of expansion in discharge channel.
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