Nonlinear dynamics of FGM circular cylindrical shell with clamped–clamped edges

2012 ◽  
Vol 94 (3) ◽  
pp. 1075-1086 ◽  
Author(s):  
W. Zhang ◽  
Y.X. Hao ◽  
J. Yang
Keyword(s):  
Nonlinear Dynamics ◽  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Clamped Edges

scholarly journals Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material

2016 ◽  
Vol 83 (5) ◽  
Author(s):  
Ivan D. Breslavsky ◽  
Marco Amabili ◽  
Mathias Legrand
Keyword(s):  
Nonlinear Dynamics ◽  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Single Mode ◽  
Forced Vibrations ◽  
Dynamic Responses ◽  
Free And Forced Vibrations ◽  
Static Responses ◽  
Radial Forces ◽  
Mode Response

Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial material are studied. The material is modeled as a combination of Neo-Hookean and Fung materials. Two types of pressure loads are studied—distributed radial forces and deformation-dependent pressure. The static responses of the shell under these two loads differ essentially at moderate strains, while the behavior is similar for small loads. The principal difference is that the axial displacements are much larger for the shell under distributed radial forces, while for actual pressure the shell is stretched both in circumferential and axial directions. Free and forced vibrations around preloaded configurations are analyzed. In both cases, the nonlinearity of the single-mode (driven mode) response of the preloaded shell is quite weak, but a resonant regime with both driven and companion modes active has been found with more complicated nonlinear dynamics.

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