A multiscale and Trefftz computational method for medium-frequency vibrations of assemblies of heterogeneous plates
Keywords:
vibrations, medium-frequency range, complex rays, heterogeneous structuresAbstract
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.
References
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[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
2023-01-26
Issue
pp. 375-384
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Blanc, L., Blanzé, C., Ladevèze, P., & Rouch, P. (2023). A multiscale and Trefftz computational method for medium-frequency vibrations of assemblies of heterogeneous plates. Computer Assisted Methods in Engineering and Science, 10(4), 375-384. https://cames3.ippt.pan.pl/index.php/cames/article/view/1051
