The "round trip" theory for reconstruction of Green's functions at passive locations.
The "round trip" theory for reconstruction of Green's functions at passive locations.
复制标题
在被动位置重建格林函数的“往返”理论。
DOI：
10.1121/1.4821210
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
A. Elliott
中科院分区：
文献类型：
--
作者：
A. Moorhouse;A. Elliott
导出了任意被动位置（无外力）下的格林函数表达式，并通过实验验证了其正确性。涉及三组点，位于虚拟边界上的被动重构点c和位于虚拟边界两侧的两组辅助点，分别表示为a和b。重建是使用格林函数实现的，通过a和b形成从重建点到重建点的“往返”。描述了一个两阶段的测量过程，包括在b和a处的激励，但在重建点不需要激励。首先介绍了一个已知的“往返”关系，它在理论上对两个线性时不变子系统之间的多点接口上的点是精确的。梁-板结构频响函数的实验结果表明，这种关系在实际应用中具有较好的效果。然后表明，该理论为任意点的格林函数提供了N阶近似，其中N为b点的点数。通过重构铝板上两个被动点的点和传递频响函数，验证了该表达式。
An expression for the Green's function at an arbitrary set of passive locations (no applied force) is derived and validated by experiment. Three sets of points are involved, the passive reconstruction points, c, which lie on a virtual boundary and two sets of auxiliary points, denoted a and b, located either side. The reconstruction is achieved using Green's functions forming a "round trip" from and to the reconstruction points via a and b. A two stage measurement procedure is described involving excitation at b and a but with no excitation required at the reconstruction points. A known "round trip" relationship is first introduced which is theoretically exact for points on a multi-point interface between two linear, time invariant subsystems. Experimental results for frequency response functions of a beam-plate structure show that this relationship gives good results in practice. It is then shown that the theory provides an Nth order approximation for the Green's function at arbitrary points, where N is the number of points at b. The expression is validated by reconstructing point and transfer frequency response functions at two passive points on an aluminum plate.
影响因子：
8.4
作者：
A. Moorhouse;T. Evans;A. Elliott
通讯作者：
A. Moorhouse;T. Evans;A. Elliott