Progress on Mechanisms of the Strain Growth Phenomenon in Containment Vessels

Author(s):  
Q. Dong ◽  
Y. Gu ◽  
B. Y. Hu

Strain growth is a phenomenon observed in the elastic response of containment vessels subjected to internal blast loading. The local response of the vessel may become larger in a later stage than its breathing mode response during the initial stage. The strain growth phenomenon has attracted great attention since it was first observed in 1976, and numerous researches have been conducted to investigate the mechanisms of the strain growth phenomenon in containment vessels. In this paper, some typical results on studying the mechanisms of strain growth in cylindrical and spherical containment vessels will be given, and the discovery of the mechanism of nonlinear modal coupling is especially highlighted. The present review may provide a good understanding on the dynamic response characteristics of cylindrical and spherical containment vessels subjected to internal blast loading.

Author(s):  
Q. Dong ◽  
Y. Gu

Strain growth is a phenomenon observed in the elastic response of containment vessels subjected to internal blast loading. The local dynamic response of a containment vessel may become larger in a later stage than its response in the earlier stage. To further study the mechanism of strain growth, the effect of structural dimensions on strain growth of cylindrical vessels subjected to internal blast loading is thoroughly investigated in this paper. The dynamic response characteristics of eight cylindrical shells with different lengths and thicknesses are studied by finite element software LS-DYNA. It is shown that the structural dimension is a dominant influencing factor of strain growth.


Author(s):  
Q. Dong ◽  
Q. M. Li ◽  
J. Y. Zheng

Strain growth is a phenomenon observed in the elastic response of containment vessels subjected to internal blast loading. The local dynamic response of a containment vessel may become larger in a later stage than its response in the earlier stage. In order to find out the possible mechanisms of the strain growth phenomenon, the natural frequencies and mode shapes of various vibration modes in cylindrical shells with different boundary conditions are obtained theoretically and numerically. The dynamic elastic responses of cylindrical shells subjected to internal blast loading are studied by theoretical analysis and finite element simulation using LS-DYNA. It is found that strain growth in cylindrical containment vessels is mainly caused by linear modal superposition and nonlinear modal coupling. The effects of the reflected blast shock waves and structural perturbation are discussed. The proposed theory for the strain growth mechanisms may guide the safe design of cylindrical containment vessels.


2009 ◽  
Vol 132 (1) ◽  
Author(s):  
Q. Dong ◽  
Q. M. Li ◽  
J. Y. Zheng ◽  
B. Y. Hu

Strain growth is a phenomenon observed in the elastic response of containment vessels subjected to internal blast loading. The local dynamic response of a containment vessel may become larger in a later stage than its response in the initial breathing mode response stage. It has been reported in our previous study that bending modes may be excited after several cycles of breathing mode vibration, due to the dynamic instability in cylindrical and spherical shells without structural perturbations. The nonlinear modal coupling between the breathing mode and the excited bending mode is one of the causes for the strain growth observed in containment vessels. In this study, we demonstrate that, due to the existence of structural perturbations, various vibration modes may be excited in containment vessels in earlier response stage before the occurrence of nonlinear modal coupling. The linear superposition of the breathing mode and the vibration modes excited by structural perturbations may cause larger response than the pure breathing mode response, which is a different strain growth mechanism from the nonlinear modal coupling. In the later response stage when the nonlinear modal coupling happens, not only the breathing mode, but also the vibration modes excited by structural perturbations will interact nonlinearly with the bending modes excited by dynamic unstable vibration. Dynamic nonlinear finite element program, LS-DYNA, is employed to understand the effects of structural perturbations on strain growth in containment vessels subjected to internal blast loading.


2017 ◽  
Vol 139 (2) ◽  
Author(s):  
Qi Dong ◽  
Q. M. Li ◽  
Jinyang Zheng

Strain growth is a phenomenon observed in the elastic response of containment vessels subjected to internal blast loading. The local dynamic response of a containment vessel may become larger in a later stage than its response in the earlier stage. In order to understand the possible mechanisms of the strain growth phenomenon in a cylindrical vessel, dynamic elastic responses of a finite-length cylindrical shell with different boundary conditions subjected to internal pressure pulse are studied by finite-element simulation using LS-DYNA. It is found that the strain growth in a finite-length cylindrical shell with sliding–sliding boundary conditions is caused by nonlinear modal coupling. Strain growth in a finite-length cylindrical shell with free–free or simply supported boundary conditions is primarily caused by the linear modal superposition, possibly enhanced by the nonlinear modal coupling. The understanding of these strain growth mechanisms can guide the design of cylindrical containment vessels.


1984 ◽  
Vol 16 (1-2) ◽  
pp. 119-122
Author(s):  
Y. Morit ◽  
K. Segi ◽  
M. Samejima ◽  
T. Nakamura

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