Dynamic stability analysis of a cylindrical shell subjected to swirling annular flow under thermal loads
TL;DR: In this article, a dynamic stability analysis is presented for a flexible cylindrical shell conveying a viscous, incompressible, swirling fluid in the annulus between the inner shell and the outer shell.
About: This article is published in International Journal of Mechanical Sciences.The article was published on 2016-09-01. It has received 4 citations till now. The article focuses on the topics: Shell (structure) & Shell balance.
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TL;DR: In this paper, the nonlinear vibrations of a carbon fiber reinforced polymer (CFRP) laminated cylindrical shell are investigated with 1:2 internal resonance, primary parametric resonance and 1/2 subharmonic resonance.
Abstract: In this paper, the nonlinear vibrations of a carbon fiber reinforced polymer (CFRP) laminated cylindrical shell are investigated with 1:2 internal resonance , primary parametric resonance and 1/2 subharmonic resonance. The radial line load and axial excitation are acting on the two free ends of the CFRP laminated cylindrical shell. The partial differential governing equations of motion for the CFRP laminated cylindrical shell are derived by utilizing the von-Karman type nonlinear geometric relationship, the first-order shear deformation theory and Hamilton principle . Galerkin method is used to obtain two-degrees-of-freedom nonlinear ordinary differential governing equations of motion along the radial displacement of the CFRP laminated cylindrical shell under the non-normal boundary conditions. The ordinary differential governing equations are solved as a system of four-dimensional average equations by the second-order approximate multiple scale method. The first two order dimensionless natural frequencies versus the ratio of length to thickness L / h , the frequency-response curves, the force-response curves, the bifurcation diagrams , the three-dimensional bifurcation diagrams, the maximum Lyapunov exponent diagrams, the phase portraits, the time history diagrams and the Poincare maps are obtained by numerical calculations. The influences of the radial line load, the axial excitation as well as the detuning parameter of the CFRP laminated cylindrical shell on the 1:2 internal resonant behaviors are investigated.
39 citations
TL;DR: In this article, a carbon fiber reinforced polymer (CFRP) laminated cylindrical shell with different temperature was investigated under axial excitation and radial line load, and the nonlinear radial breathing vibrations of a CFRP laminated cylinder shell was investigated.
35 citations
TL;DR: In this article, the dynamics of a functionally graded materials (FGMs) cylindrical shell conveying a swirling annular fluid in the annulus between the inner shell and the outer shell are investigated, where material properties are graded across the thickness of the S-FGM thin shell with metal-ceramic-metal layers according to a Sigmoid power law.
8 citations
TL;DR: In this paper, the instability characteristics of an out cylindrical shell subjected to an annular flow, where the fluid is flowing through the annulus between the inner shell and the outer shell, are investigated based on the zero-level contour method and the travelling wave solutions.
1 citations
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01 Aug 2014
TL;DR: In this article, a comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells is presented. But the authors do not consider the effect of boundary conditions on the large-amplitude vibrations of circular cylinders.
Abstract: Introduction. 1. Nonlinear theories of elasticity of plates and shells 2. Nonlinear theories of doubly curved shells for conventional and advanced materials 3. Introduction to nonlinear dynamics 4. Vibrations of rectangular plates 5. Vibrations of empty and fluid-filled circular cylindrical 6. Reduced order models: proper orthogonal decomposition and nonlinear normal modes 7. Comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells 8. Effect of boundary conditions on a large-amplitude vibrations of circular cylindrical shells 9. Vibrations of circular cylindrical panels with different boundary conditions 10. Nonlinear vibrations and stability of doubly-curved shallow-shells: isotropic and laminated materials 11. Meshless discretization of plates and shells of complex shapes by using the R-functions 12. Vibrations of circular plates and rotating disks 13. Nonlinear stability of circular cylindrical shells under static and dynamic axial loads 14. Nonlinear stability and vibrations of circular shells conveying flow 15. Nonlinear supersonic flutter of circular cylindrical shells with imperfections.
862 citations
TL;DR: A review of literature on transient phenomena in liquid-filled pipe systems is presented in this paper, where waterhammer, cavitation, structural dynamics and fluid-structure interaction (FSI) are the subjects dealt with.
286 citations