scholarly journals Character of non-linear vibrations of cylindrical shells in a supersonic gas flow

2019 ◽  
Vol 72 (1) ◽  
pp. 10-34
Author(s):  
G.Y. Baghdasaryan ◽  
М.А. Mikilyan ◽  
I.A. Vardanyan
Keyword(s):  
Gas Flow ◽  
Cylindrical Shells ◽  
Non Linear ◽  
Linear Vibrations ◽  
Supersonic Gas Flow

scholarly journals Non linear vibrations of imperfect fluid-filled viscoelastic cylindrical shells

2017 ◽  
Vol 199 ◽  
pp. 570-576 ◽  
Author(s):  
Zenon J.G.N. del Prado ◽  
Marco Amabili ◽  
Paulo B. Gonçalves
Keyword(s):  
Cylindrical Shells ◽  
Imperfect Fluid ◽  
Non Linear ◽  
Linear Vibrations

scholarly journals Non-linear Vibrations of Deep Cylindrical Shells by thep-Version Finite Element Method

2010 ◽  
Vol 17 (1) ◽  
pp. 21-37 ◽  
Author(s):  
Pedro Ribeiro ◽  
Bruno Cochelin ◽  
Sergio Bellizzi
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Natural Frequencies ◽  
Numerical Study ◽  
Cylindrical Shells ◽  
Element Formulation ◽  
Fe Model ◽  
Various Boundary Conditions ◽  
Non Linear ◽  
Linear Vibrations

Ap-version shell finite element based on the so-called shallow shell theory is for the first time employed to study vibrations of deep cylindrical shells. The finite element formulation for deep shells is presented and the linear natural frequencies of different shells, with various boundary conditions, are computed. These linear natural frequencies are compared with published results and with results obtained using a commercial software finite element package; good agreement is found. External forces are applied and the displacements in the geometrically non-linear regime computed with thep-model are found to be close to the ones computed using a commercial FE package. In all numerical tests thep-FE model requires far fewer degrees of freedom than the regular FE models. A numerical study on the dynamic behaviour of deep shells is finally carried out.

Influence of Geometry on the Non-Linear Vibrations of Cylindrical Shells With Internal Flowing Fluid

2010 ◽  
Author(s):  
Zenon J. del Prado ◽  
Paulo B. Gonc¸alves ◽  
Michael P. Pai¨doussis
Keyword(s):  
Cylindrical Shell ◽  
Degrees Of Freedom ◽  
Lateral Displacement ◽  
Equations Of Motion ◽  
Cylindrical Shells ◽  
Dynamic Environment ◽  
Geometric Parameters ◽  
Flowing Fluid ◽  
Non Linear ◽  
Linear Vibrations

In this work, the influence of the characteristic geometric parameters of a cylindrical shell, such as radius-to-thickness and radius-to-length ratios, on both the linear and non-linear vibrations of a fluid-filled cylindrical shell with internal flowing fluid is studied. The Donnell non-linear shallow shell equations are used to study a simply supported cylindrical shell subjected to both lateral and axial time-dependent loads with internal flowing fluid. The fluid is assumed to be inviscid and incompressible and the flow isentropic and irrotational. An expansion with eight degrees of freedom, containing the fundamental, companion, gyroscopic and five axisymmetric modes is used to describe the lateral displacement of the shell. The Galerkin method is used to obtain the nonlinear equations of motion which are, in turn, solved by the Runge-Kutta method. First, the parametric linear equations are used to study the influence of geometry and physical properties on the natural frequencies, critical flow and critical circumferential wavenumber. Secondly, numerical methods are used to describe the influence of geometric characteristics on the non-linear frequency-amplitude relations of the shell. The results obtained show the influence of the geometric parameters on the vibration characteristics of the shell and can be used as a basic tool for design of cylindrical shells in a dynamic environment.

The effect of material and geometry on the non-linear vibrations of orthotropic circular cylindrical shells

2014 ◽  
Vol 66 ◽  
pp. 75-86 ◽  
Author(s):  
Zenon J.G.N. del Prado ◽  
Ana Larissa D.P. Argenta ◽  
Frederico M.A. da Silva ◽  
Paulo B. Gonçalves
Keyword(s):  
Cylindrical Shells ◽  
Non Linear ◽  
Linear Vibrations ◽  
Circular Cylindrical Shells
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