Random eigenvibrations of beams with viscoelastic layers

• Autorzy: Kamiński Marcin , Przychodzki Maciej , Łasecka-Plura Magdalena , Guminiak Michał , Lenartowicz Agnieszka

Identyfikatory

DOI

10.15632/jtam-pl/194242

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

viscoelasticity; probabilistic characteristics; dynamic characteristics; layered beam; fractional Zener model

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2024
• Tom: Vol. 62 nr 4
• Strony: 763--767
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Kamiński Marcin

• Łódź University of Technology, Faculty of Civil Engineering, Architecture and Environmental Engineering, Łódź, Poland

• https://orcid.org/0000-0002-8180-6991

autor

Przychodzki Maciej

• Institute of Structural Analysis, Poznan University of Technology, Poznań, Poland

• https://orcid.org/0000-0003-4269-0399

autor

Łasecka-Plura Magdalena

• Institute of Structural Analysis, Poznan University of Technology, Poznań, Poland

• https://orcid.org/0000-0002-5229-9361

autor

Guminiak Michał

• Institute of Structural Analysis, Poznan University of Technology, Poznań, Poland

• https://orcid.org/0000-0003-0100-8621

autor

Lenartowicz Agnieszka

• Institute of Structural Analysis, Poznan University of Technology, Poznań, Poland

• https://orcid.org/0000-0002-5078-4742

Bibliografia

• 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.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).