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An algorithm to compute the transfer function of a mechanical system

MPS-Authors

Ribichini,  Luciano
AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

Leonhardt,  Volker
AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Lück,  Harald
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Danzmann,  Karsten
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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119860.pdf
(Publisher version), 87KB

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Citation

Ribichini, L., Leonhardt, V., Lück, H., & Danzmann, K. (2004). An algorithm to compute the transfer function of a mechanical system. Classical and Quantum Gravity, 21(5), S1247-S1251. doi:10.1088/0264-9381/21/5/128.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-512D-6
Abstract
Reliable and efficient algorithms are needed to model complex mechanical systems such as multiple stage pendulum suspensions. A possible approach is the one based on the input–output formalism. This method allows us to model the system in a modular way. The basic objects (which are the individual stages) are modelled via matrices and then simply joined together through matrix multiplication. It is currently not widely used because it is known to be unstable. Some interesting results towards the stabilization of such algorithm are reported.