Accession Number : AD0661568

Title :   ON NONLINEAR EQUATIONS OF ISOTROPIC ELASTIC SPHERICAL SHELLS,

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

Personal Author(s) : Grossman,Perry L. ; Koplik,Bernard

Report Date : SEP 1967

Pagination or Media Count : 31

Abstract : A complete and consistent system of dynamic equations including the effect of thickness-shear deformation is derived for isotropic elastic spherical shells. This is accomplished by adopting a generalized variational equation of motion based on simplified nonlinear elasticity theory involving finite deflections and carrying out the integration in the thickness direction. The displacement equations of motion and boundary conditions are then deduced for the transverse axisymmetric vibrations of spherical caps which are supported such that the transverse displacement vanishes at the edge. (Author)

Descriptors :   (*ELASTIC SHELLS, EQUATIONS OF MOTION), NONLINEAR SYSTEMS, ELASTIC PROPERTIES, DYNAMICS, STATICS, SPHERES

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE