An analytical study of the non-linear vibrations of functionally graded cylindrical shells subjected to thermal and axial loads

2013 ◽  
Vol 97 ◽  
pp. 261-268 ◽  
Author(s):  
G.G. Sheng ◽  
X. Wang
Keyword(s):  
Analytical Study ◽  
Cylindrical Shells ◽  
Functionally Graded ◽  
Axial Loads ◽  
Non Linear ◽  
Linear Vibrations

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.

Sign in / Sign up

Export Citation Format

Share Document