scholarly journals Asymptotic investigation into linear hamiltonian differencial systems of the statics of elastic shells of revolution

2011 ◽  
Vol 4 (2) ◽  
pp. 35-60 ◽  
Author(s):  
I.V. Kireev ◽  
Y.V. Nemirovskii
Keyword(s):  
Shells Of Revolution ◽  
Elastic Shells ◽  
Asymptotic Investigation

Problems of Nonlinear Multiple-Mode Vibrations of Thin Elastic Shells of Revolution

2000 ◽  
Author(s):  
Veniamin D. Kubenko ◽  
Piotr S. Kovalchuk
Keyword(s):  
Degrees Of Freedom ◽  
Asymptotic Methods ◽  
Nonlinear Resonance ◽  
Shells Of Revolution ◽  
Elastic Shells ◽  
Resonance Amplitude ◽  
Multiple Degrees Of Freedom ◽  
Free And Forced Vibrations ◽  
Multiple Mode ◽  
Averaged Equations

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.

Nonaxisymmetric bulging of nonhollow elastic shells of revolution

1983 ◽  
Vol 19 (2) ◽  
pp. 131-137
Author(s):  
I. M. Bermus ◽  
L. S. Srubshchik
Keyword(s):  
Shells Of Revolution ◽  
Elastic Shells

Forced oscillations of liquid-filled elastic shells of revolution

1973 ◽  
Vol 9 (3) ◽  
pp. 287-292
Author(s):  
A. D. Brusilovskii ◽  
V. P. Shmakov
Keyword(s):  
Forced Oscillations ◽  
Shells Of Revolution ◽  
Elastic Shells
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