Influence of temperature on dynamic properties of plates with viscoelastic dampers

• Autorzy: Lenartowicz Agnieszka , Przychodzki Maciej

Identyfikatory

DOI

10.21008/j.0860-6897.2020.3.10

• Języki publikacji: EN

Abstrakty

EN

The free damped vibrations of thin (Kirchhoff-Love) plates equipped with viscoelastic dampers are considered in the paper. It is assumed that the dampers are described according to the generalized rheological model. Influence of temperature on the parameters of dampers is taken into account using the frequency-temperature correspondence principle. Isotropic and rectangular plates are analysed in numerical tests included in this study. The natural frequencies and non-dimensional damping ratios are determined for these plates by solving the non-linear eigenproblem using the continuation method. The Finite Element Method is used to determine the stiffness matrix and the mass matrix occurring in the considered eigenproblem. The results of exemplary numerical calculations are presented and discussed at the end of this paper.

Słowa kluczowe

EN

thin plates; free damped vibrations; viscoelastic damper; finite element method; frequency-temperature correspondence principle; continuation method

PL

cienkie płyty; drgania swobodne; tłumik lepkosprężysty; metoda elementów skończonych; zasada odpowiedniości; metoda kontynuacyjna

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2020
• Tom: Vol. 31, nr 3
• Strony: art. no. 2020310
• Opis fizyczny: Bibliogr. 7 poz., 1 rys., wykr.

Twórcy

autor

Lenartowicz Agnieszka

• Doctoral School of Poznan University of Technology, Piotrowo 3 street 60-965 Poznan

autor

Przychodzki Maciej

• Institute of Structural Analysis of Poznan University of Technology, Piotrowo 5 street 60-965 Poznan

Bibliografia

• 1. R. Lewandowski, M. Przychodzki, Influence of temperature on dynamic properties of frames with viscoelastic dampers, Journal of Civil Engineering, Environment and Architecture, vol. 33, iss. 63, no. 1/I, (2016) 431 - 438 (in Polish).
• 2. K. Kasai, D. Sato, A constitutive rule for viscoelastic material considering heat conduction and heat transfer, The Second International Conference on Urban Earthquake Engineering, (2005) 459 - 466.
• 3. Z. Pawlak, R. Lewandowski, The continuation method for the eigenvalue problem of structures with viscoelastic dampers, Computers and Structures, 125 (2013) 53 - 61.
• 4. J. García-Barruetabeña, F. Cortés, J.M. Abete, P. Fernández, M.J. Lamela, A. Fernández-Canteli, Experimental characterization and modelization of the relaxation and complex moduli of a flexible adhesive, Materials and Design, 32 (2011) 2783 - 2796.
• 5. R. Lewandowski, Influence of temperature on the dynamic characteristics of structures with viscoelastic dampers, Journal of Structural Engineering, vol. 145, iss. 2 (2019).
• 6. M. Kuczma, Foundations of structural mechanics with shape memory. Numerical modeling, University of Zielona Góra Publishing House, Zielona Góra, 2010, ISBN 978-83-7481-411-9 (in Polish).
• 7. Z. Kacprzyk, G. Rakowski, Finite element method in structural mechanics, Warsaw University of Technology Publishing House, Warsaw, 2016 (in Polish).

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).