Complex frequencies in elastodynamics, with application to the Damping-Solvent Extraction method
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Complex frequencies.pdf
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427.53 KB
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Checksum (MD5)
126e4d797c33337852e85faa8835540e
Author(s)
Kausel, Eduardo A.
Date Issued
October 2009
Journal
Journal of Engineering Mechanics
Publisher
American Society of Civil Engineers (ASCE)
Citation
Kausel, Eduardo. “Complex Frequencies in Elastodynamics, with Application to the Damping-Solvent Extraction Method.” Journal of Engineering Mechanics 136.5 (2010): 641–652.
Version
Author's final manuscript
Abstract
This paper addresses the use of complex frequencies in problems of wave propagation and structural vibrations. The most common form of application is as artificial damping that is extracted after the response in the time domain has been obtained. Then again a rather unorthodox application is in the simulation of systems of infinite spatial extent by means of finite systems modeled with discrete methods such as finite elements, a task that can be accomplished even when no transmitting or absorbing boundaries are used. This latter application of complex frequencies, which goes by the name damping-solvent extraction method or its acronym DSE, is assessed herein by means of exact solutions to canonical problems that are used to establish the conditions that must be met by the finite models to work as intended, especially the size of the models, the magnitude of the imaginary component of frequency, and the limitations of the method.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1061/(asce)em.1943-7889.0000102
