Quasiresonances in the problem of forced vibrations of a thin elastic shell interacting with a liquid

1987 ◽  
Vol 20 (4) ◽  
pp. 267-276
Author(s):  
D. G. Vasil'ev ◽  
V. B. Lidskii
1971 ◽  
Vol 50 (1A) ◽  
pp. 153-153
Author(s):  
S. Chang ◽  
B. S. Chambers ◽  
B. J. Maxum

1983 ◽  
Vol 50 (3) ◽  
pp. 517-524 ◽  
Author(s):  
T. C. Su

The effect of viscosity on the axisymmetric, forced vibrations of a fluid-filled, elastic, spherical shell is studied analytically. Necessary theory, using boundary layer approximation for the fluid as developed in a previous paper for free vibrations, has been extended to incorporate an external forcing excitation. Shell response, fluid loading, and energy dissipation rate are computed for radial, tangential, and combined force excitations. The essential feature of the modal and the total responses is determined by resonant frequencies and various vibration-absorbing frequencies. Frequency spectra for such frequencies, as well as various response curves, are presented in dimensionless forms to illustrate the characteristics of the solution.


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

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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