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Journal of Applied Mechanics and Technical Physics

2016 year, number 6

NATURAL VIBRATIONS OF ORTHOTROPIC CORRUGATED SHELLS OF REVOLUTION

K.A. Vatulyan1, S.S. Makarov1, Yu.A. Ustinov1,2
1Southern Federal University, Rostov-on-Don, 344006, Russia
2South Mathematical Institute of Vladikavkaz Scientific Center of Russian Academy of Sciences, Vladikavkaz, 362027, Russia
Keywords: колебания, гофрированные оболочки, ортотропные материалы, собственные частоты, собственные формы, vibrations, corrugated shell, orthotropic materials, natural frequencies, natural modes

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.