scholarly journals Global Instability Structure in a Linear Beam Confinement System

2019 ◽  
Vol 14 (0) ◽  
pp. 2401018-2401018
Author(s):  
Kojiro SEKIGUCHI ◽  
Takahiro URANO ◽  
Shuya IWATA ◽  
Gaku SAKAI ◽  
Ryo MATSUMOTO ◽  
...  
1986 ◽  
Vol 33 (5) ◽  
pp. 3625-3627 ◽  
Author(s):  
David A. Kessler ◽  
Herbert Levine
Keyword(s):  

2011 ◽  
Vol 2011 ◽  
pp. 1-23 ◽  
Author(s):  
D. Ya. Khusainov ◽  
J. Diblík ◽  
Z. Svoboda ◽  
Z. Šmarda

The present investigation deals with global instability of a generaln-dimensional system of ordinary differential equations with quadratic right-hand sides. The global instability of the zero solution in a given cone is proved by Chetaev's method, assuming that the matrix of linear terms has a simple positive eigenvalue and the remaining eigenvalues have negative real parts. The sufficient conditions for global instability obtained are formulated by inequalities involving norms and eigenvalues of auxiliary matrices. In the proof, a result is used on the positivity of a general third-degree polynomial in two variables to estimate the sign of the full derivative of an appropriate function in a cone.


2009 ◽  
Vol 36 (2) ◽  
pp. 255-260 ◽  
Author(s):  
U. Macias-Cruz ◽  
F. D. Álvarez-Valenzuela ◽  
A. Correa-Calderón ◽  
L. Molina-Ramírez ◽  
A. González-Reyna ◽  
...  

Author(s):  
Izabella Damdinovna Elyakova ◽  
Alexandr Alekseevich Pakhomov ◽  
Vasilii Romanovich Darbasov ◽  
Alexandr Andreevich Khristoforov ◽  
Elyakov Aleksandr Lvovich

2013 ◽  
Vol 405-408 ◽  
pp. 2305-2310
Author(s):  
Ling Feng Gong ◽  
Yin Bai ◽  
Jian Lei Zhai

With fire temperature rising, elastic modulus of steel would be reduce, which then would lead to global instability phenomenon of double-layer square pyramid silo-shell structure. In order to analyze its fire resistance performance under high fire temperature, different geometric parameters were set based on the effect factors when it operated normally at room temperature. To analyze its displacement change by conducting nonlinear finite element analysis which was under the two typical temperature rising cases including global non-uniform temperature and localized high temperature. Then, with the temperature rising, the fire resistance performance and the maxium displacement changing rule were obtained.


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