Dynamical energy analysis-Determining wave energy distributions in vibro-acoustical structures in the high-frequency regime
Dynamical energy analysis-Determining wave energy distributions in vibro-acoustical structures in the high-frequency regime
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DOI：
10.1016/j.jsv.2008.08.032
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发表时间：
2009-03-06
影响因子：
4.7
通讯作者：
Tanner, Gregor
中科院分区：
文献类型：
--
作者：
Tanner, Gregor
我们提出了一种新的方法来确定复杂的组合结构中的机械和声波能量的分布。该技术在标准统计能量分析（SEA）和包含这两种方法作为限制情况的全射线追踪之间进行插值。通过用线性相空间算子描述射线轨迹流，提出了用只包含短射线段的边界算子来重新描述射线追踪算法。SEA现在可以被确定为一个低分辨率的射线跟踪算法和典型的SEA假设可以量化的射线动力学的属性。这里提出的新技术大大提高了标准SEA的适用范围，系统地将动力学相关性在必要时。仅使用有限数量的几何射线信息就可以避免典型射线跟踪方法中固有的一些低效率。新的动力学理论-动态能量分析（DEA）-从而提供了一个通用的方法来确定波能分布在复杂结构的高频限制。(c)2008爱思唯尔有限公司版权所有。
We propose a new approach towards determining the distribution of mechanical and acoustic wave energy in complex built-up structures. The technique interpolates between standard statistical energy analysis (SEA) and full ray tracing containing both these methods as limiting cases. By writing the flow of ray trajectories in terms of linear phase space operators, it is suggested to reformulate ray-tracing algorithms in terms of boundary operators containing only short ray segments. SEA can now be identified as a low resolution ray-tracing algorithm and typical SEA assumptions can be quantified in terms of the properties of the ray dynamics. The new technique presented here enhances the range of applicability of standard SEA considerably by systematically incorporating dynamical correlations wherever necessary. Some of the inefficiencies inherent in typical ray-tracing methods can be avoided using only a limited amount of the geometrical ray information. The new dynamical theory-dynamical energy analysis (DEA)-thus provides a universal approach towards determining wave energy distributions in complex structures in the high-frequency limit. (c) 2008 Elsevier Ltd. All rights reserved.