Loading...
Loading...

Go to the content (press return)

The solution of linear mechanical systems in terms of path superposition

Author
Magrans, F.X.; Poblet-Puig, J.; Rodriguez-Ferran, A.
Type of activity
Journal article
Journal
Mechanical systems and signal processing
Date of publication
2017-02-15
Volume
85
First page
111
Last page
125
DOI
https://doi.org/10.1016/j.ymssp.2016.07.044 Open in new window
Repository
http://hdl.handle.net/2117/89392 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0888327016302680 Open in new window
Abstract
We prove that the solution of any linear mechanical system can be expressed as a linear combination of signal transmission paths. This is done in the framework of the Global Transfer Direct Transfer (GTDT) formulation for vibroacoustic problems. Transmission paths are expressed as powers of the transfer matrix. The key idea of the proof is to generalise the Neumann series of the transfer matrix --which is convergent only if its spectral radius is smaller than one-- into a modified Neumann series...
Citation
Magrans, F.X., Poblet-Puig, J., Rodriguez-Ferran, A. The solution of linear mechanical systems in terms of path superposition. "Mechanical systems and signal processing", Febrer 2017, vol. 85, p. 111-125.
Keywords
Direct transfer, Global transfer, Neumann series, Path, Transfer matrix
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants

Attachments