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Keywords: matrix inversion
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Journal Articles

Applying Sherman-Morrison-Woodbury Formulas to Analyze the Free and Forced Responses of a Linear Structure Carrying Lumped Elements

Philip D. Cha, Nathanael C. Yoder
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. June 2007, 129(3): 307–316.
https://doi.org/10.1115/1.2730537
Published Online: November 30, 2006
... 11 2006 matrix inversion structural acoustics vibrations continuum mechanics The frequency analysis of combined dynamical systems consisting of continuous linear structures carrying lumped attachments has been thoroughly investigated over the years, and hence, only a few selected...
View Article titled, Applying Sherman-Morrison-Woodbury Formulas to Analyze the Free and Forced Responses of a Linear Structure Carrying Lumped Elements
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Topics: Degrees of freedom, Eigenvalues, Excitation, Finite element methods, Finite element model, Frequency response, Simply supported beams, Springs, Stiffness, Vibration
Journal Articles

Extending Den Hartog’s Vibration Absorber Technique to Multi-Degree-of-Freedom Systems

Mehmet Bulent Ozer, Thomas J. Royston
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. August 2005, 127(4): 341–350.
https://doi.org/10.1115/1.1924642
Published Online: October 26, 2004
.... In the present paper, an extension of the classical Den Hartog approach to a multi-degree-of-freedom undamped main system is presented. The Sherman-Morrison matrix inversion theorem is used to obtain an expression that leads to invariant points for a multi-degree-of-freedom undamped main system. Using...
View Article titled, Extending Den Hartog’s Vibration Absorber Technique to Multi-Degree-of-Freedom Systems
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Topics: Dampers, Damping, Stiffness, Vibration absorbers, Degrees of freedom