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Příspěvek k řešení problematiky ztráty stability tvaru prutových konstrukcí

Hlaváčková M.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2002

z. 19

55-61

This paper describes contribution to solving the problem of non-linear truss system buckling. Matrix equations [[K] + γ [KG]]{R} = {0} are used in theory of linear buckling for solving of critical force. System's stiffness matrix [K] and geometrical stiffness matrix are independent on nodal displacement vector {R}. Critical parameter γ is solved from equation mentioned above using methods of numerical mathematics. Vector of critical load is determinated by equation {Fₖᵣ} = γ {Fₒ}. Vector {Fₒ} is used for solving of [KG]. Corresponding matrix [kg] of elements are linearized. The main topic of this contribution is the exchange of the matrix [kg] after removing of this linearization.