Applications of Sherman Morrison matrix inversion formula in linear and non linear vibrations controls and acoustics

2003-09-06
Özer, Mehmet Bülent
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Applications of the Sherman-Morrison matrix inversion formula are reviewed and demonstrated for several problems in sound and vibration control. The inversion formula enables one to easily separate the effect of a perturbation or subcomponent on the dynamic behavior of the overall system. Applications of this technique that are demonstrated here include: identifying optimal PZT electrical shunt parameter values to minimize sound radiation from a PZT-plate structure, identifying the optimal location and parameter values of a tuned dynamic vibration absorber attached to a multi-degree of freedom, damped system, and identifying and quantifying an isolated non-linearity in an otherwise linear system. Extensions to active control system design are also discussed.
https://hdl.handle.net/11511/77277
ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conferences, (02 - 06 Eylül 2003)
Department of Mechanical Engineering, Conference / Seminar

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Citation Formats
M. B. Özer, “Applications of Sherman Morrison matrix inversion formula in linear and non linear vibrations controls and acoustics,” presented at the ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conferences, (02 - 06 Eylül 2003), 2003, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/77277.
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