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Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates.In this paper,we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition. 相似文献
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Numerical analysis of the resonance mechanism of the lumped parameter system model for acoustic mine detection 下载免费PDF全文
The method of numerical analysis is employed to study the resonance mechanism of the lumped parameter system model for acoustic mine detection. Based on the basic principle of the acoustic resonance technique for mine detection and the characteristics of low-frequency acoustics, the “soil-mine” system could be equivalent to a damping “mass-spring” resonance model with a lumped parameter analysis method. The dynamic simulation software, Adams, is adopted to analyze the lumped parameter system model numerically. The simulated resonance frequency and anti-resonance frequency are 151 Hz and 512 Hz respectively, basically in agreement with the published resonance frequency of 155 Hz and anti-resonance frequency of 513 Hz, which were measured in the experiment. Therefore, the technique of numerical simulation is validated to have the potential for analyzing the acoustic mine detection model quantitatively. The influences of the soil and mine parameters on the resonance characteristics of the soil–mine system could be investigated by changing the parameter setup in a flexible manner. 相似文献
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证明了当f(t,x)在x=0附近满足一定条件时,二阶次线性方程x″+f(t,x)=0存在无穷多弹性次调和解. 相似文献
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研究场追迹数值模拟技术在超小自聚焦光纤探头设计与分析中的应用方法.首先,论述场追迹的概念及其基本原理;其次,论述场追迹在VirtualLab软件中的实现方法;最后,研究超小自聚焦光纤探头在基于场追迹的物理光学软件VirtualLab中的建模与分析方法,并进行仿真结果与实验结果的比较分析.结果显示,如设无芯光纤的长度为0.36 mm,自聚焦光纤透镜的长度分别为0.10,0.11和0.12 mm,计算所得的工作距离分别为0.75,0.63和0.51 mm,光斑尺寸分别为32,24和19 μm.理论计算结果与实验结果符合,表明基于场追迹的数值模拟技术是研究超小自聚焦光纤探头设计与分析方法的一个有效手段. 相似文献
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研究浅层土壤中声波耦合的地震波的传播特性, 用于声波探雷技术的机理分析. 根据浅层土壤具有孔隙度和可压缩性的特点, 利用非饱和三相孔隙介质中的地震波模型, 研究了土壤孔隙度、含水饱和度等参数对地震波传播特性的影响. 计算结果显示: 在给定的参数条件下, 地震波的传播速度和衰减系数均随频率的增加而增加; 纵波的传播速度随孔隙度的增加而减小, 横波的传播速度随孔隙度的增加而增加; 地震波的传播特性随含水饱和度的增加变化比较复杂. 通过对计算结果与已发表实验结果的比较分析, 讨论了解析方法的可行性, 为声-地震耦合机理及其在声波探雷研究中的应用提供了一定的理论基础.
关键词:
声-地震耦合
地震波
孔隙度
声波探雷 相似文献
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