Natural frequencies of an elastic spherical shell submerged in a compressible viscous fluid medium

✍ Scribed by T.C. Su

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 448 KB
• Volume: 83
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(82)80084-9

✦ Synopsis

The frequency equations previously derived for free, axisymmetric vibrations of an elastic spherical shell submerged in a compressible viscous fluid is reduced to a simple polynomial expression. Its complete solutions are numerically obtained and presented for a steel shell submerged in water. Although free oscillatory motion is damped due to acoustic radiation and viscous dissipation, viscosity slightly reduces the total damping in some cases. Because damping due to viscous dissipation is always positive, the reduction of damping in these shell modes implies that viscosity reduces acoustic radiation.