Accession Number : AD0635133

Title :   AXISYMMETRIC VIBRATIONS OF HOMOGENEOUS AND SANDWICH SPHERICAL CAPS.

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF MECHANICAL ENGINEERING

Personal Author(s) : Koplik, Bernard ; Yu,Yi-Yuan

Report Date : MAR 1966

Pagination or Media Count : 52

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 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 numberical results showing the effects of thickness-shear and of curvature. An approximate solution is finally deduced from the exact solution. (Author)

Descriptors :   (*VIBRATION, *SANDWICH CONSTRUCTION), (*SHELLS(STRUCTURAL FORMS), VIBRATION), SHEAR STRESSES, SPHERES, EQUATIONS OF MOTION

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE