NON-LINEAR DYNAMICS AND STABILITY OF CIRCULAR CYLINDRICAL SHELLS CONTAINING FLOWING FLUID, PART II: LARGE-AMPLITUDE VIBRATIONS WITHOUT FLOW

✍ Scribed by M. AMABILI; F. PELLICANO; M.P. PAÏDOUSSIS

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 282 KB
• Volume: 228
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2476

✦ Synopsis

The non-linear response of empty and #uid-"lled circular cylindrical shells to harmonic excitations is investigated. Both modal and point excitations have been considered. The model is suitable to study simply supported shells with and without axial constraints. Donnell's non-linear shallow-shell theory is used. The boundary conditions on radial displacement and the continuity of circumferential displacement are exactly satis"ed. The radial de#ection of the shell is expanded by using a basis of seven linear modes. The e!ect of internal quiescent, incompressible and inviscid #uid is investigated. The equations of motion, obtained in Part I of this study, are studied by using a code based on the collocation method. The validation of the present model is obtained by comparison with other authoritative results. The e!ect of the number of axisymmetric modes used in the expansion on the response of the shell is investigated, clarifying questions open for a long time. The results show the occurrence of travelling wave response in the proximity of the resonance frequency, the fundamental role of the "rst and third axisymmetric modes in the expansion of the radial de#ection with one longitudinal half-wave, and limit cycle responses. Modes with two longitudinal half-waves are also investigated.