scholarly journals Radius Evolution for Bubbles with Elastic Shells

Author(s):  
Stefan C. Mancas ◽  
Haret C. Rosu ◽  
Chun-Chung Hsieh
Keyword(s):  
1996 ◽  
Author(s):  
Guillermo C. Gaunaurd ◽  
Donald Brill ◽  
H. Huang ◽  
Patrick W. Moore ◽  
Hans C. Strifors

2000 ◽  
Author(s):  
Veniamin D. Kubenko ◽  
Piotr S. Kovalchuk

Abstract A method is suggested for the calculation of nonlinear free and forced vibrations of thin elastic shells of revolution, which are modeled as dynamic systems of multiple degrees of freedom. Cases are investigated in which the shells are characterized by two or more closely-spaced eigenfrequencies. Based on an analysis of averaged equations, obtained by making use of asymptotic methods of nonlinear mechanics, a number of new first integrals is obtained, which state a regular energy exchange among various modes of cylindrical shells under conditions of nonlinear resonance. Amplitude-frequency characteristics of multiple-mode vibrations are obtained for shells subjected to radial oscillating pressure.


1963 ◽  
Vol 21 (1) ◽  
pp. 49-59 ◽  
Author(s):  
P. M. Naghdi ◽  
R. P. Nordgren

2000 ◽  
Vol 34 (1) ◽  
pp. 1-30 ◽  
Author(s):  
Philippe Karamian ◽  
Jacqueline Sanchez-Hubert ◽  
Évarisite Sanchez Palencia

2010 ◽  
Vol 102 (2) ◽  
pp. 117-132 ◽  
Author(s):  
Derek E. Moulton ◽  
Alain Goriely

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