Expansion Method for Continuating at Extended Solution at Singular Points

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Abstract


Stability of structures depends on the variation of the load factor on the continuation of their load path beyond a critical point. The computation of the continuation is known to be difficult due to special properties of the stiffness matrices of structures in the vicinity of singular points. A new expansion method is presented that leads to a robust and accurate continuation algorithm. The method is applied to the stability analysis of a spherical dome for symmetric and asymmetric snow loads.

V V Galishnikova

Peoples Friendship University of Russia

Email: galishni@gmail.com
Кафедра строительных конструкций и сооружений; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2011 Галишникова В.В.

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