Proposal of a Viscous Model for Nonviscously Damped Beams Based on Fractional Derivatives
Joint Authors
Lázaro, Mario
Ferrer, Ignacio
Molines-Cano, Jose M.
Albero, Vicente
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-21
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Viscoelastic materials are widely used in structural dynamics for the control of the vibrations and energy dissipation.
They are characterized by damping forces that depend on the history of the velocity response via hereditary functions involved in convolution integrals, leading to a frequency-dependent damping matrix.
In this paper, one-dimensional beam structures with viscoelastic materials based on fractional derivatives are considered.
In this work, the construction of a new equivalent viscous system with fictitious parameters but capable of reproducing the response of the viscoelastic original one with acceptable accuracy is proposed.
This allows us to take advantage of the well-known available numerical tools for viscous systems and use them to find response of viscoelastic structures.
The process requires the numerical computation of complex frequencies.
The new fictitious viscous parameters are found to be matching the information provided by the frequency response functions.
New mass, damping, and stiffness matrices are found, which in addition have the property of proportionality, so they become diagonal in the modal space.
The theoretical results are contrasted with two different numerical examples.
American Psychological Association (APA)
Lázaro, Mario& Molines-Cano, Jose M.& Ferrer, Ignacio& Albero, Vicente. 2018. Proposal of a Viscous Model for Nonviscously Damped Beams Based on Fractional Derivatives. Shock and Vibration،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1215347
Modern Language Association (MLA)
Lázaro, Mario…[et al.]. Proposal of a Viscous Model for Nonviscously Damped Beams Based on Fractional Derivatives. Shock and Vibration No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1215347
American Medical Association (AMA)
Lázaro, Mario& Molines-Cano, Jose M.& Ferrer, Ignacio& Albero, Vicente. Proposal of a Viscous Model for Nonviscously Damped Beams Based on Fractional Derivatives. Shock and Vibration. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1215347
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1215347