Analysis of vibrations of plate strip with concentrated masses using tolerance averaging technique

• Autorzy: Marczak J. , Jędrysiak J.
• Konferencja: Symposium “Vibrations In Physical Systems” (26 ; 04-08.05.2014 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this note vibrations of thin periodic plate strips with periodically distributed system of two concentrated masses are analysed. Moreover, it is assumed that every concentrated mass is connected to a string, which cause the effect of damping in vibrations. Governing equation for such structure is defined as a differential equation with highly oscillating, periodic and non-continuous coefficients. In order to solve the equation, tolerance averaging technique is applied. As a result, governing equations with constant coefficients are obtained. In an example, derived model is used to calculate lower and higher frequencies of the travelling wave related to the internal periodic structure.

Słowa kluczowe

EN

periodic plate strips; vibrations; tolerance averaging technique

PL

płyta periodyczna; drgania; technika tolerancyjnego uśredniania

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2014
• Tom: Vol. 26
• Strony: 161--168
• Opis fizyczny: Bibliogr. 5 poz., 1 rys., 1 wykr.

Twórcy

autor

Marczak J.

• Department of Structural Mechanics, Łódź University of Technology, Al. Politechniki 6, 90-924 Łódź, Poland

autor

Jędrysiak J.

• Department of Structural Mechanics, Łódź University of Technology, Al. Politechniki 6, 90-924 Łódź, Poland

Bibliografia

• 1. J. Jędrysiak, Dispersion models of thin periodic plates. Theory and applications, Habilitation Thesis, Sci. Cull. of Łódź Techn Univ., No 872, series: Transactions, 289, Łódź 2001 (in Polish).
• 2. J. Jędrysiak, B. Michalak, Some remarks on dynamic results for averaged and exact models of thin periodic plates, J. Theor. Appl. Mech., Vol. 43, 2, 2005, p.405-425.
• 3. R.V. Kohn, M. Vogelius, A new model of thin plates with rapidly varying thickness, Int. J. Solids Struct., Vol. 20, 1984, p.333-350.
• 4. Cz. Woźniak, B. Michalak, J. Jędrysiak, (eds.), Thermomechanics of microheterogeneous solids and structures, Wyd. PŁ, Łódź, 2008.
• 5. Cz. Woźniak, E. Wierzbicki, Averaging techniques in thermomechanics of composite solids, Wyd. PCz, Częstochowa, 2000.