Geodesic
On one interpretation of~the~non-autonomous linearized Hoff model on~a~geometric graph
Journal of computational and engineering mathematics, Tome 11 (2024) no. 4, pp. 48-63.

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In the article, as an interpretation of the Hoff model on a geometric graph, it is proposed to consider the New York Twin Towers during the terrorist attack on September 11, 2001. Some of the design features of these towers can be well described within the framework of the Hoff model. Studies of the solution of the non-autonomous linearized Hoff model on a geometric graph have shown that such a structure has the property of stability and in the normal state the deflections of the beams from the zero position tend to zero. However, it is clear that as a result of the tragedy of September 11, 2001, conditions in the towers developed such that non-autonomy began to manifest itself in the model, due to which the critical load exceeded the thresholds and the structure lost stability. This was especially evident in the building of the World Trade Center 7, where there was no collision with an airplane and the building collapsed only as a result of a fire.
Keywords: stationary solution, asymptotic stability of solutions, I-beam construction. 
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     title = {On one interpretation of~the~non-autonomous linearized {Hoff} model on~a~geometric graph},
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S. A. Zagrebina; E. I. Nazarova; M. A. Sagadeeva. On one interpretation of~the~non-autonomous linearized Hoff model on~a~geometric graph. Journal of computational and engineering mathematics, Tome 11 (2024) no. 4, pp. 48-63. http://geodesic.mathdoc.fr/item/JCEM_2024_11_4_a5/