Radial oscillations of a thick-walled spherical highly stressed nonhomogeneous shell

✍ Scribed by J.L. Nowinski; M. Shahinpoor

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 707 KB
• Volume: 291
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(71)90185-2

✦ Synopsis

Radial oscillations of a thick-walled spherical shell are investigated assuming the material of the shell to be elastic, isotropic, incompressible and continuously rlo?rhomogeneous in the radial direction. The shell is first subjected to a static axially symmetric deformation and then set into inf5nitesima.l motions. General equations are specialized to the neo-Hookean material and an explicit equation for the frequency of oscillations is derived. In the limit case of a homogeneous thin shell and of an infcnite medium, with a spherical cavity the results agree with the known results. Graphs are given displaying the frequency variations for various degrees of nonhomogeneity, wall-thickness and i/litial stretch.