This article is cited in 1 paper

Natural vibrations of orthotropic corrugated shells of revolution

K. A. Vatulyan^a, S. S. Makarov^a, Yu. A. Ustinov<sup>ab

a</sup> Southern Federal University, Rostov-on-Don, 344006, Russia
^b South Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy, Sciences, Vladikavkaz, 362027, Russia

Abstract: The torsional and longitudinal flexural vibrations of orthotropic corrugated shells are investigated. Relations, including the equation of motion in forces and moments and the Hooke's law relations are obtained using the Kirchhoff–Love hypotheses. The influence of geometric parameters of the shell (amplitude and length of the corrugation) on the natural frequencies and natural vibrations modes are studied for fixed-end shells.It is found that during torsional vibrations, increasing the amplitude of the corrugation and increasing the number of corrugations leads to a decrease in the resonant frequencies. In the case of torsional and longitudinal flexural vibrations, the influence of the corrugation amplitude on the natural vibration modes is investigated.

Keywords: vibrations, corrugated shell, orthotropic materials, natural frequencies, natural modes.

UDC: 539.3

Received: 13.07.2015
Revised: 02.11.2015

DOI: 10.15372/PMTF20160620

 English version: Journal of Applied Mechanics and Technical Physics, 2016, 57:6, 1118–1125

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