...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Low-frequency dispersion-function factorization and classification of P-SV modes by wavenumber limits
【24h】

Low-frequency dispersion-function factorization and classification of P-SV modes by wavenumber limits

机译：低频色散函数分解和波数限制对P-SV模式的分类

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The dispersion function for P-SV wave propagation in a laterally homogeneous fluid-solid medium is a characteristic function for a multi-point boundary-value problem, and it can be expressed as a product of compound-matrix propagators, It is studied asymptotically 0, ten the frequency tends to zero. as a function of the, horizontal wavenumber. All entire function is obtained, whose zeros determine the limits as the frequency tends to zero for the horizontal wavenumbers of the wave-guide modes. The entire function can be factorized with scalar factors, which can be evaluated by solution of ordinary differential equation (ODE) systems. The order of its zero at the origin determines the number of modes with. vanishing low-frequency wavenumber limits. Interface waves and different types of bending waves are particular examples of such modes. In addition, there will be one factor from each fluid or solid region. Hence. the modes with nonzero wavenumber limits decouple into region-dependent classes at low frequency, and they can be classified according to low-frequency connection to the different regions. The decoupling is elucidated by an asymptotic analysis of the mode shapes. [References: 17]
机译：P-SV波在横向均质流固介质中传播的色散函数是多点边值问题的特征函数，可以表示为复合矩阵传播子的乘积，渐近研究0 ，十个频率趋于零。作为水平波数的函数。获得所有全部函数，当波导模式的水平波数频率趋于零时，其零点确定极限。可以使用标量因子对整个函数进行因子分解，可以通过解常微分方程（ODE）系统进行评估。原点处零的顺序决定了模式的数量。消失的低频波数限制。界面波和不同类型的弯曲波是这种模式的特定示例。另外，每个流体或固体区域都会有一个因素。因此。具有非零波数限制的模式在低频下会分解为与区域相关的类，并且可以根据与不同区域的低频连接进行分类。通过模态形状的渐近分析来阐明去耦。 [参考：17]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号