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Random eigenvibrations of beams with viscoelastic layers
1
Department of Structural Mechanics, Łódź University of Technology, Łódź, Poland
2
Institute of Structural Analysis, Poznan University of Technology, Poznań, Poland
Submission date: 2023-11-30
Final revision date: 2024-04-30
Acceptance date: 2024-10-07
Online publication date: 2024-10-25
Corresponding author
Maciej Przychodzki
Institute of Structural Analysis, Poznan University of Technology, ul. Piotrowo 5, 60-965, Poznań, Poland
Institute of Structural Analysis, Poznan University of Technology, ul. Piotrowo 5, 60-965, Poznań, Poland
KEYWORDS
viscoelasticityprobabilistic characteristicsdynamic characteristicslayered beamfractional Zener model
TOPICS
stability and vibrations systemsmechanics of materialscomputational mechanicsstructures mechanicsmechanics of composites
ABSTRACT
This paper is devoted to the study of the influence of random variation of model parameters of a beam with viscoelastic layers on probabilistic characteristics of its natural frequencies and dimensionless damping coefficients. The relationships between the model parameters and the dynamic characteristics of the beam were approximated by quartic polynomials based on the results of calculations using FEM, where beam finite elements were used, taking into account lamination of the beam. The nonlinear eigenproblem was solved using the continuation method. The calculation results for an example laminated beam are presented.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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