A Mathematical Model for the Quadrupolar Oscillations of the Brazilian Gravitational Wave Detector

Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

In this work we present results relative to a mathematical model for the mechanical response of the Brazilian Mario SCHENBERG gravitational wave (GW) detector to such waves. We found the physical parameters that are involved in this response assuming a linear elastic theory. Adopting this approach we determined the system's resonant frequencies for the case when six i-mode mechanical resonators are coupled to the antenna surface according to the arrangement suggested by Johnson and Merkowitz: the truncated icosahedron configuration. This configuration presents special symmetries that allow for the derivation of an analytic expression for the mode channels, which can be experimentally monitored and which are directly related to the tensorial components of the GW. Using this model we simulated how the system behaves under a gravitational sinewave quadrupolar force and found the relative amplitudes that result from this excitation.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A Mathematical Model for the Quadrupolar Oscillations of the Brazilian Gravitational Wave Detector does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Mathematical Model for the Quadrupolar Oscillations of the Brazilian Gravitational Wave Detector, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Mathematical Model for the Quadrupolar Oscillations of the Brazilian Gravitational Wave Detector will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1841511

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.