Free vibrations spectrum of periodically inhomogeneous Rayleigh beams using the tolerance averaging technique

• Autorzy: Świątek Marcin , Domagalski Łukasz , Jędrysiak Jarosław

Identyfikatory

DOI

10.15632/jtam-pl.57.1.141

• Języki publikacji: EN

Abstrakty

EN

In this paper, linear-elastic Rayleigh beams with a periodic structure are considered. Dynamics of such beams is described by partial differential equations with non-continuous highly oscillating coefficients. The analysis of dynamic problems using the aforementioned equations is very often problematic to perform. Thus, other simplified models of Rayleigh beams are proposed. Some of these models are based on the concept of the effective stiffness. Among them, one can distinguish the theory of asymptotic homogenization. However, in these models, the size of the mesostructure parameter (the size of a periodicity cell) is often neglected. Therefore, a non-asymptotic averaged model of the periodic beam is introduced, called the tolerance model, which is derived by applying the tolerance averaging technique (TA). The obtained tolerance model equations have constant coefficients, and in contrast to other averaged models, some of them depend on the size of the periodicity cell.

Słowa kluczowe

EN

periodicity cell; Rayleigh beam; tolerance averaging technique

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2019
• Tom: Vol. 57 nr 1
• Strony: 141--154
• Opis fizyczny: Bibliogr 30 poz., rys., tab.

Twórcy

autor

Świątek Marcin

• Lodz University of Technology, Department of Structural Mechanics, Łódź, Poland

autor

Domagalski Łukasz

• Lodz University of Technology, Department of Structural Mechanics, Łódź, Poland

autor

Jędrysiak Jarosław

• Lodz University of Technology, Department of Structural Mechanics, Łódź, Poland

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).