AGN, GRB, SGR/AXP, CMB, Dark Matter and Dark Energy, Gravitation Theories and Experiments, Cosmology and General Relativity, Gravitational WavesOpen Access

Quadrupole Mass Optimization in Very High Speed Using FEM: First Attempt

Paulo R. M. Nogueira

Departmento de Mecânica, Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP), Rua Pedro Vicente, 625, 01109-010 São Paulo, SP, Brazil

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Carlos Frajuca

Departmento de Mecânica, Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP), Rua Pedro Vicente, 625, 01109-010 São Paulo, SP, Brazil

E-mail Address: frajuca@ifsp.edu.br

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Daniel Coppedé

Departmento de Mecânica, Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP), Rua Pedro Vicente, 625, 01109-010 São Paulo, SP, Brazil

E-mail Address: danielcoppede@gmail.com

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Fabio S. Bortoli

Departmento de Mecânica, Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP), Rua Pedro Vicente, 625, 01109-010 São Paulo, SP, Brazil

E-mail Address: bortoli.fabio@gmail.com

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Givanildo A. Santos

Departmento de Mecânica, Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP), Rua Pedro Vicente, 625, 01109-010 São Paulo, SP, Brazil

E-mail Address: givanildo@ifsp.edu.br

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, and

Francisco Y. Nakamoto

Departmento de Mecânica, Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP), Rua Pedro Vicente, 625, 01109-010 São Paulo, SP, Brazil

E-mail Address: nakamoto@ifsp.edu.br

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https://doi.org/10.1142/S2010194517600199Cited by:0 (Source: Crossref)

Abstract

A experiment to measure the velocity of gravity is been planned. In order to achieve a reasonable signal in the detector, a very massive quadrupole mass is put to rotate at a very high rotation speed. In order to maximize the signal, the mass much be as higher as possible. This work test mass geometries in Finite Element Modeling (FEM) with the goal to maximize the resistance to high rotation speed.

Keywords:

PACS: 04.30.Db, 04.80.Cc

References

1. J. B. Hartle. Gravity: An Introduction to Einstein’s General Relativity. (Addison-Wesley, Boston, 2003) ISBN 981-02-2749-3, p. 332. Google Scholar
2. U. Le. Verrier. Lettre de M. Le Verrier à M. Faye Sur la Théorie de Mercure et Sur le Mouvement du Périhélie de Cette Planéte C. R. Acad. Sci. 49, 379 (1859). Google Scholar
3. P. S. Laplace. A Treatise in Celestial Mechanics, Vol. IV, Book X, Chapter VII (1805), translated by N. Bowditch (Chelsea, New York, 1966). Google Scholar
4. J. Zenneck. Gravitation, Encyklopädie der Mathematischen Wissenschaften mit Einschlussihrer Anwendungen (in German), (doi: $10.1007 / 978 - 3 - 663 - 16016 - 8_2$ $10.1007 / 978 - 3 - 663 - 16016 - 8_2$ ) Vol. 5, 25 (1903). Google Scholar
5. H. A. Lorentz. Considerations on Gravitation, Proc. Acad. Amsterdam 2, 559 (1900). Google Scholar
6. LIGO Scientific Collab. and Virgo Collab. (B. P. Abbott et al.), Phys. Rev. Lett., 116 (6), 061102 (2016). Observation of Gravitational Waves from a Binary Black Hole Merger. arXiv:1602.03837(2016) (PDF). Google Scholar
7. D. Castelvecchi and A. Witze. Einstein’s Gravitational Waves Found at Last. Nature News doi:10.1038/nature.2016.19361. Retrieved 11 February 2016. Google Scholar
8. The Editorial Board. The Chirp Heard Across the Universe. New York Times. Retrieved 16 February 2016. Google Scholar
9. C. Frajuca, K. L. Ribeiro, O. D. Aguiar, L. A. Andrade, P. J. Castro, N. S. Magalhaes, and R. M. Marinho Jr. CQG 21, (2004). Crossref, Google Scholar
10. C. Frajuca, K. L. Ribeiro, L. A. Andrade, W. F. Velloso Jr., J. L. Melo, O. D. Aguiar, and N. S. Magalhaes, CQG 19, 1961 (2002). Crossref, Google Scholar
11. W. W. Johnson and S. M. Merkowitz, Phys. Rev. Lett. 70, 2367 (1993). Crossref, ADS, Google Scholar
12. W. W. Johnson and S. M. Merkowitz, Phys. Rev. D 56, 7513 (1997). Crossref, Google Scholar
13. S. M. Magalhaes, O. D. Aguiar, W. W. Johnson, and C. Frajuca, Gen. Relat. Grav. 29, 1511 (1997). Crossref, Google Scholar
14. N. S. Magalhaes, W. W. Johnson, C. Frajuca, and O. D. Aguiar, MNRAS 274, 670 (1995). Crossref, Google Scholar
15. N. S. Magalhaes, W. W. Jonhson, C. Frajuca, and O. D. Aguiar, Astrophysical Journal 475, 462 (1997). Crossref, Google Scholar

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Published: 15 August 2017

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This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.

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Quadrupole Mass Optimization in Very High Speed Using FEM: First Attempt

Abstract

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