目的推导层状管道结构中超声导波的频散方程,利用频散方程绘制其频散曲线,并通过试验来验证频散曲线的正确性.方法基于Navier波动方程并根据边界条件建立了层状管道结构的频散方程.从理论上分析了层状管道结构中三种模态超声导波的传播...目的推导层状管道结构中超声导波的频散方程,利用频散方程绘制其频散曲线,并通过试验来验证频散曲线的正确性.方法基于Navier波动方程并根据边界条件建立了层状管道结构的频散方程.从理论上分析了层状管道结构中三种模态超声导波的传播特性.根据推导出超声导波的频散方程,通过数值方法绘制出了超声导波在层状管道结构中的频散曲线.对超声导波的频散曲线和位移特点进行了分析,并选出适合激励的超声导波频率.构建与数值计算层状管道模型相同的试验系统并进行试验研究,利用试验验证了所建立的频散曲线的正确性.完成了层状管道结构纵向波动试验,激励频率在1～9 k Hz,对试验结果与理论值进行对比和误差分析.结果L（0,1）在管道结构中传播速度与理论值最大误差值为1.5%,可以发现两者相似度较高.结论笔者所绘制的频散曲线能够较为理想的反映出超声导波在层状管道中传播的真实情况,这对实际检测中激发信号的频率和模态的选择具有重要意义.展开更多
Through theoretical analysis,we construct a physical model that includes the influence of counter-external driven current opposite to the plasma current direction in the neoclassical tearing mode(NTM).The equation is ...Through theoretical analysis,we construct a physical model that includes the influence of counter-external driven current opposite to the plasma current direction in the neoclassical tearing mode(NTM).The equation is used with this model to obtain the modified Rutherford equation with co-current and counter-current contributions.Consistent with the reported experimental results,numerical simulations have shown that the localized counter external current can only partially suppress NTM when it is far from the resonant magnetic surface.Under some circumstances,the Ohkawa mechanism dominated current drive(OKCD)by electron cyclotron waves can concurrently create both co-current and counter-current.In this instance,the minimal electron cyclotron wave power that suppresses a particular NTM was calculated by the Rutherford equation.The result is marginally less than when taking co-current alone into consideration.As a result,to suppress NTM using OKCD,one only needs to align the co-current with a greater OKCD peak well with the resonant magnetic surface.The effect of its lower counter-current does not need to be considered because the location of the counter-current deviates greatly from the resonant magnetic surface.展开更多
文摘目的推导层状管道结构中超声导波的频散方程,利用频散方程绘制其频散曲线,并通过试验来验证频散曲线的正确性.方法基于Navier波动方程并根据边界条件建立了层状管道结构的频散方程.从理论上分析了层状管道结构中三种模态超声导波的传播特性.根据推导出超声导波的频散方程,通过数值方法绘制出了超声导波在层状管道结构中的频散曲线.对超声导波的频散曲线和位移特点进行了分析,并选出适合激励的超声导波频率.构建与数值计算层状管道模型相同的试验系统并进行试验研究,利用试验验证了所建立的频散曲线的正确性.完成了层状管道结构纵向波动试验,激励频率在1～9 k Hz,对试验结果与理论值进行对比和误差分析.结果L（0,1）在管道结构中传播速度与理论值最大误差值为1.5%,可以发现两者相似度较高.结论笔者所绘制的频散曲线能够较为理想的反映出超声导波在层状管道中传播的真实情况,这对实际检测中激发信号的频率和模态的选择具有重要意义.
基金Project supported by the National Key R&D Program of China(Grant Nos.2022YFE03070000 and 2022YFE03070003)the National Natural Science Foundation of China(Grant Nos.12375220 and 12075114)+3 种基金the Hunan Provincial Natural Science Foundation(Grant No.2021JJ30569)the Doctoral Initiation Fund Project of University of South China(Grant No.190XQD114)the Hunan Nuclear Fusion International Science and Technology Innovation Cooperation Base(Grant No.2018WK4009)the Hengyang Key Laboratory of Magnetic Confinement Nuclear Fusion Research(Grant No.2018KJ108)。
文摘Through theoretical analysis,we construct a physical model that includes the influence of counter-external driven current opposite to the plasma current direction in the neoclassical tearing mode(NTM).The equation is used with this model to obtain the modified Rutherford equation with co-current and counter-current contributions.Consistent with the reported experimental results,numerical simulations have shown that the localized counter external current can only partially suppress NTM when it is far from the resonant magnetic surface.Under some circumstances,the Ohkawa mechanism dominated current drive(OKCD)by electron cyclotron waves can concurrently create both co-current and counter-current.In this instance,the minimal electron cyclotron wave power that suppresses a particular NTM was calculated by the Rutherford equation.The result is marginally less than when taking co-current alone into consideration.As a result,to suppress NTM using OKCD,one only needs to align the co-current with a greater OKCD peak well with the resonant magnetic surface.The effect of its lower counter-current does not need to be considered because the location of the counter-current deviates greatly from the resonant magnetic surface.
