Optimization of a composite quadrupole mass at high-speed rotation

Abstract

An experiment to measure the speed of gravity is being planned. For this purpose, a numerical method was developed for the optimization of a composite quadrupole mass at high-speed rotation. The optimization calculations aim to obtain a quadrupole mass which must generate a periodic gravitational signal of 3200 Hz with maximum amplitude, taking into account its geometric features and the mechanical properties of the component materials. Considering the gravitational wave detector Mario Schenberg as the signal receiving device, an estimate was obtained in which the largest emitterdetector distance for detecting the gravitational signal is between the orders of magnitude 10 1 and 10 2 m. A simplified modeling of the emitter-detector system indicates that the gravitational signal amplitude h decreases approximately proportional to r À5 , where r is the emitter-detector distance. The results obtained in this work serve as reference for more detailed numerical simulations in the future.

The Design Strain Sensitivity of the Schenberg Spherical Resonant Antenna for Gravitational Waves

“…The instrument will be maintained at low temperatures (∼ 4 K) by cryogenic chambers (dewars), cooled down by a He flow [9]. The antenna is coupled to parametric transducers that will monitor the vibrations of the quadrupolar/monopolar normal modes of the sphere [10][11][12][13][14]. One of the main advantages of a GW spherical resonant antenna is its omnidirectional sensitivity, which makes it equally responsive to all wave directions and polarizations [15].…”

Coherent quantum states in resonant‐mass gravitational wave detectors

“…When the detector is in operation, the motion of the antenna's surface is monitored by six parametric microwave transducers with their distribution on the shape of half a dodecahedron circumscribed to the antenna sphere (Frajuca et al 2008). More details on the SCHENBERG detector and on spherical resonant‐mass GW detectors can be found in Aguiar et al 2002; Bortoli et al 2016; Bortoli et al 2019; Bortoli et al 2020; Bortoli et al 2010; Costa et al 2004; Frajuca et al 2018; Magalhaes et al 1995.…”

“…When the detector is in operation, the motion of the antenna's surface is monitored by six parametric microwave transducers with their distribution on the shape of half a dodecahedron circumscribed to the antenna sphere (Frajuca et al 2008). More details on the SCHENBERG detector and on spherical resonant-mass GW detectors can be found in Aguiar et al 2002;Bortoli et al 2016;Bortoli et al 2019;Bortoli et al 2020;Bortoli et al 2010;Costa et al 2004;Frajuca et al 2018;Magalhaes et al 1995. When a GW passes through a resonant-mass detector, its antenna vibrates, whose surface motion is measured by transducers that generate electrical signals as outputs (Frajuca et al 2006). These signals are then analyzed and the intensity of such GW can be obtained; in the case of a spherical antenna, even the source's direction can be determined with only one detector (Magalhaes et al 1997).…”

Estimation of Fibrilatory Atrial Signal Parameters in Electrocardiogram

“…These antennas, located in front of the parametric transducers, conduct the microwaves into the resonant cavity and another set of antennas pick up the returned signal. The Brazilian efforts on the field can be summarized in Frajuca et al (2002Frajuca et al ( ,2005Frajuca et al ( ,2006Frajuca et al ( ,2008Frajuca et al ( ,2018, Aguiar et al (2002Aguiar et al ( ,2004Aguiar et al ( ,2005Aguiar et al ( ,2012, Magalhaes et. al (1995Magalhaes et.…”