Optimization of a composite quadrupole mass at high-speed rotation

Optimization of a composite quadrupole mass at high-speed rotation 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 emitter-detector distance for detecting the gravitational signal is between the orders of magnitude $$10^1$$ 10 1 and $$10^2$$ 10 2 m. A simplified modeling of the emitter-detector system indicates that the gravitational signal amplitude h decreases approximately proportional to $$r^{-5}$$ r - 5 , where r is the emitter-detector distance. The results obtained in this work serve as reference for more detailed numerical simulations in the future. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Brazilian Society of Mechanical Sciences and Engineering Springer Journals
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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2018 by The Brazilian Society of Mechanical Sciences and Engineering
Subject
Engineering; Mechanical Engineering
ISSN
1678-5878
eISSN
1806-3691
D.O.I.
10.1007/s40430-018-1239-9
Publisher site
See Article on Publisher Site

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 emitter-detector distance for detecting the gravitational signal is between the orders of magnitude $$10^1$$ 10 1 and $$10^2$$ 10 2 m. A simplified modeling of the emitter-detector system indicates that the gravitational signal amplitude h decreases approximately proportional to $$r^{-5}$$ r - 5 , where r is the emitter-detector distance. The results obtained in this work serve as reference for more detailed numerical simulations in the future.

Journal

Journal of the Brazilian Society of Mechanical Sciences and EngineeringSpringer Journals

Published: May 30, 2018

References

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