Numerical simulation of a catastrophe model for prominence eruptions

Author(s):  
T. G. Forbes
2012 ◽  
Vol 446-449 ◽  
pp. 1546-1550
Author(s):  
Chun Lei Zhang ◽  
Guo Sheng Zhong

Based on cusp catastrophe characteristics of water inrush from floor, a cusp catastrophic mechanical model of a key stratum of floor is established by catastrophe theory. By the model, the paper analyzes mechanical mechanism of water inrush from key stratum of floor with the cusp catastrophic theory. Using an engineering example, the numerical simulation proves that this method of the theory analysis is practical.


2013 ◽  
Vol 353-356 ◽  
pp. 1470-1474
Author(s):  
Yong Biao Lai ◽  
Meng Shu Wang ◽  
Cheng Guang Bai

Stability of rock stratum between concealed karst cave and tunnel is evaluated by the catastrophe theory. The numerical simulation method of safe distance between concealed karst cave and tunnel is proposed based on catastrophe theory energy catastrophe. Through array of rock stratum energy change and distance change between concealed karst cave and tunnel, a cusp catastrophe model of safe distance between concealed karst cave and tunnel is built. The simulation of safe distance between concealed karst cave and tunnel can be finished by Ansys program and Matlab, and automatically calculates the safe distance by a compile interface program, which is verified by engineering example.


2009 ◽  
Vol 00 (00) ◽  
pp. 090904073309027-8
Author(s):  
H.W. Wang ◽  
S. Kyriacos ◽  
L. Cartilier

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