The subject of this paper is the dynamic stability of a cylindrical shell under harmonic loading applied in the middle plane. The loss of stability of a dynamically longitudinally compressed shell is associated with the occurrence of parametric resonance between longitudinal and bending vibrations. Investigating this process requires including axial inertia forces in the differential equations of motion, as parametric resonance vibrations are the result of energy exchange between longitudinal and transverse vibrations. The results of the analyses are presented in the form of (Ince-Strutt) maps of unstable regions and bending vibration waveforms of the shell.(…)
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Source: Logistyka Magazine
Stability of a cylindrical shell under harmonic loading – PDF file for download