scholarly journals Active control of axisymmetric wave propagation in fluid‐filled elastic cylindrical shells.

1991 ◽  
Vol 90 (4) ◽  
pp. 2271-2272
Author(s):  
Bertrand J. Brévart ◽  
Chris R. Fuller
Keyword(s):  
Wave Propagation ◽  
Active Control ◽  
Cylindrical Shells ◽  
Axisymmetric Wave

Axisymmetric wave propagation in fluid‐loaded cylindrical shells: Theory versus experiment.

1992 ◽  
Vol 91 (4) ◽  
pp. 2470-2470
Author(s):  
Thomas J. Plona ◽  
Bikash K. Sinha ◽  
Sergio Kostek ◽  
Shu‐Kong Chang
Keyword(s):  
Wave Propagation ◽  
Cylindrical Shells ◽  
Axisymmetric Wave ◽  
Theory Versus

Axisymmetric wave propagation in fluid‐loaded cylindrical shells. II: Theory versus experiment

1992 ◽  
Vol 92 (2) ◽  
pp. 1144-1155 ◽  
Author(s):  
Thomas J. Plona ◽  
Bikash K. Sinha ◽  
Sergio Kostek ◽  
Shu‐Kong Chang
Keyword(s):  
Wave Propagation ◽  
Cylindrical Shells ◽  
Axisymmetric Wave ◽  
Theory Versus

Axisymmetric wave propagation in fluid‐loaded cylindrical shells. I: Theory

1992 ◽  
Vol 92 (2) ◽  
pp. 1132-1143 ◽  
Author(s):  
Bikash K. Sinha ◽  
Thomas J. Plona ◽  
Sergio Kostek ◽  
Shu‐Kong Chang
Keyword(s):  
Wave Propagation ◽  
Cylindrical Shells ◽  
Axisymmetric Wave

scholarly journals Micro-Vibrations and Wave Propagation in Biperiodic Cylindrical Shells

2020 ◽  
Vol 22 (3) ◽  
pp. 789-808
Author(s):  
Barbara Tomczyk ◽  
Anna Litawska
Keyword(s):  
Wave Propagation ◽  
Periodic Structures ◽  
Cylindrical Shells ◽  
Combined Model ◽  
Asymptotic Models ◽  
Wave Propagation Problem ◽  
Modelling Procedure ◽  
Constant Coefficients ◽  
A Cell ◽  
Averaged Model

AbstractThe objects of consideration are thin linearly elastic Kirchhoff-Love-type circular cylindrical shells having a periodically microheterogeneous structure in circumferential and axial directions (biperiodic shells). The aim of this contribution is to study a certain long wave propagation problem related to micro-fluctuations of displacement field caused by a periodic structure of the shells. This micro-dynamic problem will be analysed in the framework of a certain mathematical averaged model derived by means of the combined modelling procedure. The combined modelling applied here includes two techniques: the asymptotic modelling procedure and a certain extended version of the known tolerance non-asymptotic modelling technique based on a new notion of weakly slowly-varying function. Both these procedures are conjugated with themselves under special conditions. Contrary to the starting exact shell equations with highly oscillating, non-continuous and periodic coefficients, governing equations of the averaged combined model have constant coefficients depending also on a cell size. It will be shown that the micro-periodic heterogeneity of the shells leads to exponential micro-vibrations and to exponential waves as well as to dispersion effects, which cannot be analysed in the framework of the asymptotic models commonly used for investigations of vibrations and wave propagation in the periodic structures.

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