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Lagrangian formalism for resonant capacitive transducers for gravitational-wave antennas

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Il Nuovo Cimento C

Summary

A general analysis of the characteristics of a resonant transducer for gravitational-wave antennas whose resonator has a general mode of vibration has been made using a Lagrangian formalism. The method has been applied to investigate the characteristics of the resonant capacitive transducer developed at the University of Rome and mounted on the cryogenic gravitational-wave antenna built at CERN, finding results in good agreement with the experimental behaviour.

Riassunto

Si usa il formalismo lagrangiano per svolgere un'analisi delle caratteristiche di un trasduttore risonante per antenne gravitazionali nel caso generale in cui il risuonatore utilizzato abbia un modo di vibrazione di forma qualunque. Il metodo è applicato allo studio delle caratteristiche del trasduttore risonante capacitivo sviluppato alla I Università di Roma e montato sull'antenna gravitazionale criogenica realizzata al CERN, trovando risultati in buon accordo con i valori sperimentali.

Резюме

Используя Лагранжев формализм, проводится обший анализ характеристик резонансного датчика для антенн гравитационных волх. Предложенный метод применяется для исследования характеристик резонансного емкостного датчика, разработанного в Римском Университете и смонтированного на криогенной антенне гравитационных волн в ЦЕРНе. Полученные результаты хорошо согласуются с экспериментальными данными.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi ≪La Sapienza≫, Roma

    Y. Ogawa & P. Rapagnani

  2. Sezione di Roma, Istituto Nazionale di Fisica Nucleare, Roma

    Y. Ogawa & P. Rapagnani

Authors
  1. Y. Ogawa
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  2. P. Rapagnani
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Ogawa, Y., Rapagnani, P. Lagrangian formalism for resonant capacitive transducers for gravitational-wave antennas. Il Nuovo Cimento C 7, 21–34 (1984). https://doi.org/10.1007/BF02507194

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  • DOI: https://doi.org/10.1007/BF02507194

PACS. 04.80

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