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Analysis of Spectral Characteristics of Sound Waves Scattered from a Cracked Cylindrical Elastic Shell Filled with a Viscous Fluid

Piddubniak O., Piddubniak N.

Archives of Acoustics

2013

Vol. 38, No. 3

335--350

The scattering of plane steady-state sound waves from a viscous fluid-filled thin cylindrical shell weak- ened by a long linear slit and submerged in an ideal fluid is studied. For the description of vibrations of elastic objects the Kirchhoff-Love shell-theory approximation is used. An exact solution of this problem is obtained in the form of series with cylindrical harmonics. The numerical analysis is carried out for a steel shell filled with oil and immersed in seawater. The modules and phases of the scattering amplitudes versus the dimensionless wavenumber of the incident sound wave as well as directivity patterns of the scattered field are investigated taking into consideration the orientation of the slit on the elastic shell surface. The plots obtained show a considerable influence of the slit and viscous fluid filler on the diffraction process.

Wybrane uwagi o analizie dynamicznej ciała sztywnego i powłok sprężystych

Chróścielewski J., Lubowiecka I.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

2002

z. 60 [197]

77-84

The fundamental assumption of this paper is the analogy between the dynamics of a rigid body and of an elastic shell structure. These structures belong to a class of non linear dynamical systems whose configuration space includes a product of Euclidean space with the rotation group. The particular care is exercised towards approximation in space and in time domain with the discussion on stability and correctness of the solutions. On the grounds the six-field shell theory, a formal structure of the initial-boundary problem, descending from the extension of the existing results in the statics of the hyper-elastic shells, is presented. By building into the proposed algorithm to our own existing software, some numerical simulations of motion of a rigid body and of shell structures are presented and discussed.