Axisymmetric Vibrations of Homogeneous and Sandwich Spherical Caps
- 1 September 1967
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 34 (3) , 667-673
- https://doi.org/10.1115/1.3607759
Abstract
From the generalized variational equation of motion is derived a complete system of equations for sandwich as well as homogeneous spherical shells including the effect of thickness-shear deformation. Based on these equations the exact solution is obtained for the natural frequencies of axisymmetric vibrations of homogeneous and sandwich spherical caps with clamped edges. Emphasis in our investigation is on the transition from the vibrations of a circular disk to those of a spherical cap, for both homogeneous and sandwich cases, with numerical results showing the effects of thickness-shear and of curvature.Keywords
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