ET Docs
ET-0045A-25

Analysis of the resonant modes present in a novel cryogenic test-mass suspension for the Einstein Telescope Gravitational Wave Observatory

Leonardo González López, Nelson Leon, Riccardo DeSalvo, Fabián Peña Arellano, Harry Themann· Scientific/Technical note· Released 18:02, Wednesday the 19th of February, 2025

Abstract

This technical report expands on a broader analysis of a novel cryogenic
suspension designed for third-generation gravitational-wave detectors. Specifically, it investigates the effects of geometric modifications to two key components that this system incorporates: a suspension beam and flexures operating
under tension and compression, respectively. Using Finite Element Method
(FEM) simulations in COMSOL and ANSYS, this study examines how variations in beam thickness and flexure aspect ratios influence the system’s natural
resonant modes and some of its mechanical behavior.
By systematically exploring these parameters, we identify configurations
that minimize undesirable mechanical conditions and provide a basis for future studies, such as the flexure design from group 1 discussed in Section 3.
Additionally, we analyze how beam thickness variations influence vibrational
attenuation, aiming to extend the effective attenuation range by increasing
the frequency of the second resonant mode, discussed in Section 4. Finally,
we identify regions of high resonance amplitudes as potential sites for implementing active damping and cooling strategies, discussed in Section 5.

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