Since 1963
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
Journal of Theoretical and Applied Mechanics 2024;62(4):763-767
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.
REFERENCES (8)
1.
Arregui-Mena J.D., Margetts L., Mummery P.M., 2016, Practical application of the stochastic finite element method, Archives of Computational Methods in Engineering, 23, 1, 171-190.
2.
Galucio A.C., Deü J.-F., Ohayon R., 2004, Finite element formulation of viscoelastic sandwich beams using fractional derivative operators, Computational Mechanics, 33, 4, 282-291.
3.
Kamiński M., 2013, The Stochastic Perturbation Method for Computational Mechanics, John Wiley & Sons, Ltd., Hoboken, NJ, USA.
4.
Kamiński M., Guminiak M., Lenartowicz A., Łasecka-Plura M., Przychodzki M., Sumelka W., 2023, Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports, Probabilistic Engineering Mechanics, 74, 103522.
5.
Lewandowski R., Baum M., 2015, Dynamic characteristics of multilayered beams with viscoelastic layers described by the fractional Zener model, Archive of Applied Mechanics, 85, 12, 1793-1814.
6.
Łasecka-Plura M., 2023, Dynamic characteristics of a composite beam with viscoelastic layers under uncertain-but-bounded design parameters, Applied Sciences, 13, 11, 6473.
7.
Pawlak Z., Lewandowski R., 2013, The continuation method for the eigenvalue problem of structures with viscoelastic dampers, Computers and Structures, 125, 53-61.
8.
Stefanou G., 2009, The stochastic finite element method: Past, present and future, Computer Methods in Applied Mechanics and Engineering, 198, 9-12, 1031-1051.
Share
RELATED ARTICLE
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
