DYNAMIC STABILITY OF CYLINDRICAL SHELLS SUBJECTED TO CONSERVATIVE PERIODIC AXIAL LOADS USING DIFFERENT SHELL THEORIES

✍ Scribed by K.Y. Lam; T.Y. Ng

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 254 KB
• Volume: 207
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1186

✦ Synopsis

In the present paper, the dynamic stability of thin, isotropic cylindrical shells under combined static and periodic axial forces is studied using four common thin shell theories; namely, the Donnell, Love, Sanders and Flugge shell theories. For these four cases, the contribution of the stresses due to the external axial forces are accounted for according to the Donnell theory. In the present analysis, a normal-mode expansion of the equations of motion yields a system of Mathieu-Hill equations, the stability of which is examined. The parametric resonance responses are analyzed based on Bolotin's method and the effects of the length-to-radius and thickness-to-radius ratios of the cylinder on the instability regions are examined and compared using the four theories. The effects of variation in the magnitude of the axial forces were also examined.