Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Axisymmetric free vibration of shallow spherical shell with a circular rigid insert

Journal Article · · Journal of Pressure Vessel Technology; (United States)
DOI:https://doi.org/10.1115/1.2929517· OSTI ID:6505002
A general solution for the third-order partial differential equations for the axisymmetric free vibration of thin isotropic shallow spherical shell with a rigid insert is presented in this paper. The frequency equation in terms of Bessel functions as well as modified Bessel functions is solved for the fundamental vibrational frequency and mode shape. Both linear and nonlinear boundary conditions are applied and the results are compared. The relationship between the vibrational frequency, mode shape and the size of the rigid insert is discussed.
OSTI ID:
6505002
Journal Information:
Journal of Pressure Vessel Technology; (United States), Journal Name: Journal of Pressure Vessel Technology; (United States) Vol. 115:2; ISSN JPVTAS; ISSN 0094-9930
Country of Publication:
United States
Language:
English