A multiscale and Trefftz computational method for medium-frequency vibrations of assemblies of heterogeneous plates
Abstract
A new approach called the "Variational Theory of Complex Rays" has been developed in order to calculate the vibrations of slightly damped elastic plates in the medium-frequency range. The solution of a small system of equations, which does not result from a fine spatial discretization of the structure, leads to the evaluation of effective quantities (deformation energy, vibration amplitude, ... ). Here we extend this approach, which was already validated for assemblies of homogeneous substructures, to the case of heterogeneous substructures.
Keywords
vibrations, medium-frequency range, complex rays, heterogeneous structures,References
[1] R.R Craig. Substructure methods in vibration. Journal of Vibration and Acoustics, 50th Anniversary, 117: 207- 13, 1995.[2] R.H. Lyon, G. Maidanik. Power flow between linearly coupled oscillators. JASA, 34{5}: 623-39, 1962.
[3] R.H. Lyon, H. Richard, G. Richard. Statistical Energy Analysis. Butterworth-Heinemann, 1995.
[4] B. R Mace. On the statistical energy analysis hypothesis of couling power proportionality and some implications of its failure. Journal of Sound and Vibration, 178(1): 95-112, 1994.
[5] E. H. Dowell, Y. Kubota. Asymptotic modal analysis and statistical energy of dynamical systems. J. Appl. Mech. , 52: 949-57, 1985.
Published
Jan 26, 2023
How to Cite
BLANC, L. et al.
A multiscale and Trefftz computational method for medium-frequency vibrations of assemblies of heterogeneous plates.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 4, p. 375-384, jan. 2023.
ISSN 2956-5839.
Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1051>. Date accessed: 23 dec. 2024.
Issue
Section
Articles
This work is licensed under a Creative Commons Attribution 4.0 International License.
