A new combined model of dynamic problems for thin uniperiodic cylindrical shells

2016 ◽  
pp. 581-585
Author(s):  
B Tomczyk
Keyword(s):  
Cylindrical Shells ◽  
Dynamic Problems ◽  
Combined Model

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.

Dynamics of Coupled Fluid-Shells

1986 ◽  
Vol 108 (3) ◽  
pp. 339-347 ◽  
Author(s):  
M. K. Au-Yang
Keyword(s):  
Finite Element ◽  
Structural Analysis ◽  
Eigenvalue Problem ◽  
Cylindrical Shells ◽  
Computer Programs ◽  
Dynamic Problems ◽  
Special Cases ◽  
Analysis Computer

The hydrodynamic mass approach to the solution of dynamic problems in coupled fluid-cylindrical shells is reviewed; simplified equations for computing the hydrodynamic masses and for the subsequent solution of the eigenvalue problem are given in several commonly encountered special cases. Methods of incorporating the hydrodynamic mass concept into finite element structural analysis computer programs for the more general cases are discussed.

Solution of axisymmetric dynamic problems for cylindrical shells on an elastic foundation

2007 ◽  
Vol 43 (12) ◽  
pp. 1390-1395 ◽  
Author(s):  
K. G. Golovko ◽  
P. Z. Lugovoi ◽  
V. F. Meish
Keyword(s):  
Elastic Foundation ◽  
Cylindrical Shells ◽  
Dynamic Problems
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