Abstract
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.Keywords:
periodic plate strips, tolerance averaging technique, travelling wave.References
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2. Jędrysiak J.: 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).
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 (2005) 405-425.
4. Woźniak Cz., Michalak B., Jędrysiak J., (eds.): Thermomechanics of microheterogeneous solids and structures, Łódź, Wyd. PŁ 2008.
5. Woźniak Cz., Wierzbicki E.: Averaging techniques in thermomechanics of composite solids, Częstochowa, Wyd. PCz 2000.
6. Kohn R.V., Vogelius M.: A new model of thin plates with rapidly varying thickness, Int. J. Solids Struct., 20, (1984) 333-350.
7. Cz. Woźniak et al., (eds.): Mathematical Modelling and Analysis in Continuum Mechanics of Mictrostructured Media, Gliwice, Silesian Technical University Press 2010.
