In this work, a methodology to design two‐mode mechanical transducers for the spherical resonant‐mass gravitational wave detector SCHENBERG is presented. This detector uses microwave multiparametric sensors and has 17 mechanical modes together with 6 electromagnetic modes for the microwave cavities. These transducers, when placed on the spherical surface of the detector, must have an effective mass ratio between their modes constant to provide the better amplification and compose a resonant system that has characteristics necessary for the detection of gravitational waves. To meet this demand, the transducers must form a resonant system with exactly the same quadrupole frequencies of the sphere. This work describes how these transducers were designed using Finite Element Modeling (FEM).

中文翻译：

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一种设计用于共振质量重力波探测器的机械换能器的方法

在这项工作中，提出了一种为球形共振质量重力波检测器SCHENBERG设计双模机械换能器的方法。该检测器使用微波多参数传感器，具有17种机械模式以及6种针对微波腔的电磁模式。这些换能器，当放置在检测器的球形表面上时，必须在它们的模式之间具有有效的质量比常数，以提供更好的放大效果，并组成一个具有检测引力波所必需的特性的谐振系统。为了满足这一需求，换能器必须形成一个具有与球体完全相同的四极子频率的谐振系统。这项工作描述了如何使用有限元建模（FEM）设计这些换能器。