Evaluation of maximum stresses in thick-walled spherical shell designs subjected to a short pulse loading

1985 ◽  
Vol 17 (12) ◽  
pp. 1765-1771
Author(s):  
V. A. Mal'tsev ◽  
G. V. Stepanov ◽  
Yu. A. Konon ◽  
L. B. Pervukhin
1991 ◽  
Vol 01 (C3) ◽  
pp. C3-589-C3-596 ◽  
Author(s):  
H. HOMMA ◽  
Y. KANTO ◽  
K. TANAKA

1985 ◽  
Vol 52 (3) ◽  
pp. 517-522 ◽  
Author(s):  
P. S. Symonds ◽  
T. X. Yu

In a particular example of short pulse loading on a pin-ended beam, the permanent deflection is predicted by a numerical solution to be in the direction opposite that of the load. Analysis of a Shanley-type model shows that this surprising behavior may occur as a consequence of plastic irreversibility combined with geometric nonlinearity, when the peak deflection produced by the pulse lies in a certain range of small magnitudes. Results from a number of well-known structural dynamics codes are shown. These exhibit a wide spread in the predicted final deflections, indicating strong sensitivities of both physical and computational nature.


1995 ◽  
Vol 62 (2) ◽  
pp. 523-526 ◽  
Author(s):  
P. S. Symonds ◽  
J.-Y. Lee

Calculations of two types of fractal dimension are reported, regarding the elastic-plastic response of a two-degree-of-freedom beam model to short pulse loading. The first is Mandelbrot’s (1982) self-similarity dimension, expressing independence of scale of a figure showing the final displacement as function of the force in the pulse loading; these calculations were made with light damping. These results are equivalent to a microscopic examination in which the magnification is increased by factors of 102; 104; and 106. It is found that the proportion and distribution of negative final displacements remain nearly constant, independent of magnification. This illustrates the essentially unlimited sensitivity to the load parameter, and implies that the final displacement in this range of parameters is unpredictable. The second fractal number is the correlation dimension of Grassberger and Procaccia (1983), derived from plots of Poincare intersection points of solution trajectories computed for the undamped model. This fractional number for strongly chaotic cases underlies the random and discontinuous selection by the solution trajectory of the potential well leading to the final rest state, in the case of the lightly damped model.


2018 ◽  
Vol 60 (12) ◽  
pp. 2358-2362
Author(s):  
A. D. Evstifeev ◽  
Yu. V. Petrov ◽  
N. A. Kazarinov ◽  
R. R. Valiev

1989 ◽  
Vol 115 (12) ◽  
pp. 2782-2788 ◽  
Author(s):  
U. Perego ◽  
G. Borino ◽  
P. S. Symonds
Keyword(s):  

2000 ◽  
Vol 24 (1) ◽  
pp. 69-83 ◽  
Author(s):  
Samsul Rizal ◽  
Hiroomi Homma

1973 ◽  
Vol 17 (01) ◽  
pp. 19-22
Author(s):  
Robert Kao ◽  
Nicholas Perrone

The maximum stresses are obtained for a spherical shell that is lifted or towed by a cable or any mechanical power hoist. In view of the highly localized nature of the maximum stress induced in a spherical shell due to local loading, the nonlinear (large deflection) shallow-shell theory is adopted for the analysis. A nonlinear relaxation technique in conjunction with finite difference approximations is introduced for the numerical integration. Results obtained here are presented in the graphic form that may be readily used by engineers in practical design.


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