Vibrations of plate strips with internal periodic structure

• Autorzy: Marczak, J. , Jędrysiak, J.
• Języki publikacji: EN

Abstrakty

EN

In this note vibrations of thin periodic plate strips with periodically distributed systems of three concentrated masses are analysed. Results of the non-asymptotic tolerance model are compared to those by the exact discrete model. In an example, these models are used to calculate lower and higher frequencies of the travelling wave related to the internal periodic structure.

Słowa kluczowe

PL

tolerancja techniczna; fala bieżąca

EN

periodic plate strips; tolerance averaging technique; travelling wave

• Czasopismo: Engineering Transactions
• Rocznik: 2015
• Tom: Vol. 63, iss. 1
• Strony: 93--108
• Opis fizyczny: Bibliogr. 7 poz., wykr.

Twórcy

autor

Marczak, J.

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

autor

Jędrysiak, J.

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

Bibliografia

• 1. Brillouin L., Wave Propagation in Periodic Structures, Dover Pub., Inc., 1953.
• 2. Jędrysiak J., Dispersion models of thin periodic plates. Theory and applications, Habilitation Thesis [in Polish], Sci. Cull. of Łódź Techn Univ., No 872, series: Transactions, 289, Łódź, 2001.
• 3. Jędrysiak J., Michalak B., Some remarks on dynamic results for averaged and exact models of thin periodic plates, J. Theor. Appl. Mech., 43, 2, 405–425, 2005.
• 4. Kohn R.V., Vogelius M., A new model of thin plates with rapidly varying thickness, Int. J. Solids Struct., 20, 333–350, 1984.
• 5. Woźniak Cz., Michalak B., Jędrysiak J. [Eds.], Thermomechanics of microheterogeneous solids and structures, Wyd. PŁ, Łódź, 2008.
• 6. Woźniak Cz., Wierzbicki E., Averaging techniques in thermomechanics of composite solids, Wyd. PCz, Częstochowa, 2000.
• 7. Woźniak Cz. et al. [Eds.], Mathematical Modelling and Analysis in Continuum Mechanics of Mictrostructured Media, Silesian Technical University Press, Gliwice, 2010.