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Vibrations of plate strips with internal periodic structure

Marczak J., Jędrysiak J.

Engineering Transactions

2015

Vol. 63, iss. 1

93--108

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.

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

Marczak J., Jędrysiak J.

Vibrations in Physical Systems

2014

Vol. 26

161--168

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.