Improved evaluation of the resonance spectral parameters of sound scattering from the spherical thin elastic shell

Author(s):  
O.P. Piddubniak ◽  
N.G. Piddubniak
1971 ◽  
Vol 50 (1A) ◽  
pp. 153-153
Author(s):  
S. Chang ◽  
B. S. Chambers ◽  
B. J. Maxum

1964 ◽  
Vol 31 (1) ◽  
pp. 91-96 ◽  
Author(s):  
C. R. Steele

The problem considered is the thin elastic shell described by the equations of Novozhilov with an arbitrary but smooth midsurface that has a surface load and/or temperature distribution which varies rapidly with respect to one curvature coordinate. The particular solution is obtained in the form of an asymptotic series in powers of a parameter which is a measure of the rapidity of variation in the distribution. The wide class of problems, for which only the first term of the asymptotic series need be retained, is analogous to the beam on an elastic foundation. However, the advantage of the complex representation of Novozhilov is demonstrated by an example in which the shell is loaded and heated on strips with several conditions of constraint.


2008 ◽  
Vol 75 (3) ◽  
pp. 275-290 ◽  
Author(s):  
David J. Chappell ◽  
Paul J. Harris ◽  
David Henwood ◽  
Roma Chakrabarti

2011 ◽  
Vol 2011 ◽  
pp. 1-22 ◽  
Author(s):  
L. Godinho ◽  
P. Amado-Mendes ◽  
A. Pereira

Several numerical and analytical models have been used to study underwater acoustics problems. The most accurate and realistic models are usually based on the solution of the wave equation using a variety of methods. Here, a hybrid numerical-analytical model is proposed to address the problem of underwater sound scattering by an elastic shell structure, which is assumed to be circular and that is buried in a fluid seabed bellow a water waveguide. The interior of the shell is filled with a fluid that may have different properties from the host medium. The analysis is performed by coupling analytical solutions developed both for sound propagation in the waveguide and in the vicinity of the circular hollow pipeline. The coupling between solutions is performed using the method of fundamental solutions. This strategy allows a compact description of the propagation medium while being very accurate and highly efficient from the computational point of view.


Soft Matter ◽  
2015 ◽  
Vol 11 (6) ◽  
pp. 1107-1115 ◽  
Author(s):  
Xin Yi ◽  
Huajian Gao

A theoretical study on cell membrane wrapping of a spherical thin elastic shell indicates that stiff nanocapsules achieve full wrapping easier than soft ones. The detailed analysis demonstrates how the wrapping degree depends on the size and stiffness of the nanocapsules, adhesion energy and membrane tension.


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