EFFECT OF ADDITIONAL BOUNDARY CONDITIONS ON THE AXISYMMETRIC FREE VIBRATIONS OF OBLATE SPHEOIDAL SHELLS
Abstract
ABSTRACTThis research deals with the effect of using additional boundary conditions as well asthe eccentricity ratio on the axisymmetric free vibrational characteristics of thin isotropicoblate spheroid shells. The formulation depends on the boundary matching method usingthe non – shallow shell theory. The oblate shell was assumed to be constructed from twospherical elements matched along the continuous boundaries. The additional boundaryconditions under construction were clamped – clamped, clamped – free and pined – pined. Itwas found that the natural frequency of the shell with clamped – clamped additionalboundaries was greater than other two types of the additional boundaries. On the other hand itwas found that in the case of clamped – clamped boundary condition, the eccentricity ratiohas an effect on the natural frequency greater than the other two cases, i.e, clamped – free andpined - pined cases, respectively.
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