Generalized Kelvin–Voigt damping models for geometrically nonlinear beams
File(s)AIAA_Journal_Intrinsic_damping_final.pdf (2.27 MB)
Accepted version
Author(s)
Artola, M
Wynn, A
Palacios, R
Type
Journal Article
Abstract
Strain-rate-based damping is investigated in the strong form of the intrinsic equations of three-dimensional geometrically exact beams. Kelvin–Voigt damping, often limited in the literature to linear or two-dimensional beam models, is generalized to the three-dimensional case, including rigid-body motions. The result is an elegant infinite-dimensional description of geometrically exact beams that facilitates theoretical analysis and sets the baseline for any chosen numerical implementation. In particular, the dissipation rates and equilibrium points of the system are derived for the most general case and for one in which a first-order approximation of the resulting damping terms is taken. Finally, numerical examples are given that validate the resulting model against a nonlinear damped Euler–Bernoulli beam (where detail is given on how an equivalent description using our intrinsic formulation is obtained) and support the analytical results of energy decay rates and equilibrium solutions caused by damping. Throughout the paper, the relevance of damping higher-order terms, arising from the geometrically exact description, to the accurate prediction of its effect on the dynamics of highly flexible structures is highlighted.
Date Issued
2021-01-01
Online Publication Date
2021-03-16T09:24:18Z
Date Acceptance
2020-08-20
ISSN
0001-1452
Publisher
American Institute of Aeronautics and Astronautics
Start Page
356
End Page
365
Journal / Book Title
AIAA Journal: devoted to aerospace research and development
Volume
59
Issue
1
Copyright Statement
© 2020 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. For AIAA Rights and Permissions www.aiaa.org/randp
Sponsor
Commission of the European Communities
Grant Number
765579
Subjects
Science & Technology
Technology
Engineering, Aerospace
Engineering
DYNAMICS
0901 Aerospace Engineering
0905 Civil Engineering
0913 Mechanical Engineering
Aerospace & Aeronautics
Publication Status
Published
Date Publish Online
2020-10-31