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Free Vibration Analysis of Thin Circular Cylindrical Shell with Closure Using Finite Element Method
Aruna Rawat,Vasant A. Matsagar,A.K. Nagpal 한국강구조학회 2020 International Journal of Steel Structures Vol.20 No.1
Vibration analysis of a thin circular cylindrical shell with closure is conducted using fi nite element method (FEM). Theoretically, shell vibrates in diff erent axial modes, m ; circumferential modes, n ; and any of their combinations with corresponding modal frequencies. The present FEM results are verifi ed by the results reported in the literature using various shell theories. The eigenvalues of the shell are extracted using block Lanczos and subspace iteration methods, in order to investigate their computational effi cacy. Further, the eff ect of adding various types of closures at one end of the circular cylindrical shell such as fl at, cone, and dome, on the modal frequencies are investigated. The two aspect ratios (length to radius ratio) of shell with closure, broad, and slender are considered for this study. The eff ect of the ratio of the thickness of the closure to the thickness of shell wall on the frequency is also investigated. For the shell with the closure, the vibration modes can be cylinder, closure, or combined cylinder and closure. The modal frequency of the cylindrical shell is signifi cantly aff ected by the closure. The lowest frequency is observed in the fl at type of closure in both the broad and slender cylindrical shells in comparison to the non-closure, dome, and cone type of the closures.