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ADVANCES IN COMPUTATIONAL METHODS FOR SIMULATION
Edited by: B.H.V. Topping
Free Vibration Analysis of Clamped-Free and Clamped-Free with Ring Stiffened Circular Cylindrical Shells
J.S. Yim*, Y.S. Lee# and D.S. Sohn*
*Korea Atomic Energy Research Institute, Taejon, Korea
J.S. Yim, Y.S. Lee, D.S. Sohn, "Free Vibration Analysis of Clamped-Free and Clamped-Free with Ring Stiffened Circular Cylindrical Shells", in B.H.V. Topping, (Editor), "Advances in Computational Methods for Simulation", Civil-Comp Press, Edinburgh, UK, pp 247-252, 1996. doi:10.4203/ccp.42.8.2
Natural frequencies of cylindrical shells can be calculated by solving frequency equation that is derived by employing Rayleigh-Ritz method to the equation of motion of shells. In the course of this procedure integration of beam characteristic functions is essentially needed of which accuracy directly influence the accuracy of the calculated frequencies.
Here it is shown that the integration of the beam functions can be carried out symbolically by Mathematica in order to incorporate into a sectic program to solve sectic frequency equation. Using this Integrated value the frequencies of cylindrical shells of clamped-free boundary condition with various dimensions are calculated from sectic frequency equation and they are compared with those of others.
Finally the first two lowest frequencies of cylindrical shell with rings are calculated and the effects of rings on these frequencies are evaluated.
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