The Radiation Of Sound Waves From A Lightly Loaded Finite Elastic Shell, II: Non-Linear Shell Resonances

1994 ◽  
Vol 174 (3) ◽  
pp. 353-377 ◽  
Author(s):  
J.C. Engineer ◽  
I.D. Abrahams
Keyword(s):  
Elastic Shell ◽  
Sound Waves ◽  
Non Linear

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

2013 ◽  
Vol 38 (3) ◽  
pp. 335-350 ◽  
Author(s):  
Olexa Piddubniak ◽  
Nadia Piddubniak
Keyword(s):  
Viscous Fluid ◽  
Shell Theory ◽  
Elastic Shell ◽  
Spectral Characteristics ◽  
Steel Shell ◽  
Sound Waves ◽  
Thin Cylindrical Shell ◽  
Shell Surface ◽  
Theory Approximation ◽  
Directivity Patterns

Abstract 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.

Non-planar and Non-linear Second Sound Waves in He II

2000 ◽  
Vol 17 (1) ◽  
pp. 43-45 ◽  
Author(s):  
Peng Zhang ◽  
Seiji Kimura ◽  
Masahide Murakami ◽  
Ru-zhu Wang
Keyword(s):  
Second Sound ◽  
Sound Waves ◽  
Non Linear

Chaotic response of a Galerkin shell to constant load and periodic excitation

2005 ◽  
Vol 219 (1) ◽  
pp. 61-73
Author(s):  
L Dai ◽  
Q Han ◽  
M Dong
Keyword(s):  
Elastic Shell ◽  
Saddle Points ◽  
Time History ◽  
Homoclinic Orbits ◽  
Constant Load ◽  
Critical Conditions ◽  
Linear Elastic ◽  
Melnikov Functions ◽  
Non Linear ◽  
Lateral Excitation

This study intends to investigate the dynamic behaviour of a non-linear elastic shallow shell of large deflection subjected to constant boundary loading and harmonic lateral excitation. The general governing equation for the shell is established using the Galerkin Principle. Three types of dynamic equation of the shell are developed, corresponding to certain geometry and loading conditions. Melnikov functions are considered for each type. Non-linear responses of the shell to the loads are analysed theoretically. Centre points, saddle points, and homoclinic orbits are determined and analysed on the basis of the governing equations established. The critical conditions for chaos to occur are provided for the vibrations of the shell. Numerical analysis is also performed for the non-linear elastic shell. Chaotic and regular vibrations of the shell are analysed with presentations of time history plots, phase diagrams, and Poincaré maps.

Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities

2018 ◽  
Vol 82 (2) ◽  
pp. 283-317 ◽  
Author(s):  
M O Korpusov ◽  
D V Lukyanenko ◽  
A A Panin ◽  
E V Yushkov
Keyword(s):  
Linear Equation ◽  
Blow Up ◽  
Sound Waves ◽  
Non Linear Equation ◽  
Non Linear
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