The effect of uncertainty sources on the dynamic instability of CNT-reinforced porous cylindrical shells integrated with piezoelectric layers under electro-mechanical loadings

Abstract This paper discusses the dynamic instability of circular cylindrical shells subjected to time-dependent axial edge loads of the form P(t) = P0+P1(t), where the dynamic component p1(t) is periodic in time and P0 is a uniform compressive load. In the present paper a low dimensional model, which retains the essential non-linear terms, is used to study the non-linear oscillations and instabilities of the shell. For this, Donnell’s shallow shell equations are used together with the Galerkin method to derive a set of coupled non-linear ordinary differential equations of motion which are, in turn, solved by the Runge-Kutta method. To study the non-linear behavior of the shell, several numerical strategies were used to obtain Poincaré maps, stable and unstable fixed points, bifurcation diagrams and basins of attraction. Particular attention is paid to two dynamic instability phenomena that may arise under these loading conditions: parametric instability and escape from the pre-buckling potential well. The numerical results obtained from this investigation clarify the conditions, which control whether or not instability may occur. This may help in establishing proper design criteria for these shells under dynamic loads, a topic practically unexplored in literature.

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Dynamic instability of suddenly heated cylindrical shells

Nuclear Engineering and Design ◽

10.1016/0029-5493(80)90051-5 ◽

1980 ◽

Vol 61 (2) ◽

pp. 237-243 ◽

Cited By ~ 4

Author(s):

H. Ray ◽

E.G. Lovell

Keyword(s):

Dynamic Instability ◽

Cylindrical Shells

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DYNAMIC STABILITY OF LAMINATED COMPOSITE PLATES WITH PIEZOELECTRIC LAYERS SUBJECTED TO PERIODIC IN-PLANE LOAD

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455411004105 ◽

2011 ◽

Vol 11 (02) ◽

pp. 297-311 ◽

Cited By ~ 6

Author(s):

S. PRADYUMNA ◽

ABHISHEK GUPTA

Keyword(s):

Dynamic Stability ◽

Dynamic Instability ◽

Plate Theory ◽

Laminated Composite ◽

Composite Plates ◽

Load Parameter ◽

Control Voltage ◽

Laminated Composite Plates ◽

Piezoelectric Layers ◽

Instability Regions

In this paper, the dynamic stability characteristics of laminated composite plates with piezoelectric layers subjected to periodic in-plane load are studied. The finite element method is employed using a modified first-order shear deformation plate theory (MFSDT). The formulation includes the effects of transverse shear, in-plane, and rotary inertia. The boundaries of dynamic instability regions are obtained using Bolotin's approach. The structural system is considered to be undamped. The correctness of the formulation is established by comparing the authors' results with those available in the published literature. The effects of control voltage, static buckling load parameter, number of stacking layers, and thickness of plate on the principal and second instability regions are investigated for cross-ply laminated composite plate.

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