Тест 4.6 Torsional Stability

Verification of the LIRA-FEM software / Тест 4.6 Torsional Stability / Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Science, 1987, p. 121.

Задачи устойчивости, в основном изгибно-крутильные формы потери устойчивости

Analytical solution: L. D. Landau, E. M. Lifshits Theory of Elasticity, M: Science, 1987, p. 121.

Geometry:

L = 1 м.

Material characteristics: ЕIy = EIz = 100 тм², GI = 80 тм².

Boundary conditions: u(L/2) = 0;
1. u_A = u_B = v_A = v_B = w_A = w_B = 0;
2. u_A = u_B = v_A = v_B = w_A = w_B = θ_YA = θ_YB = 0;
3. u_A = u_B = v_A = v_B = w_A = w_B = θ_YA = θ_YB = θ_ZA = θ_ZB = 0.

Нагрузки: Mx = 100 тм.

Rod finite elements ( FE 10) were used, the breakdown is 100 FE. When constructing the stability matrix, formulas (3.3.20) from A.S. Gorodetsky and I.D. Evzerov, "Computer Modeling of Structures", M, 2009 were used..

CALCULATION RESULTS:

Boundary condition	The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
1	Stock Factor устойчивости	4,91	4,912	0,04
2	Stock Factor устойчивости	2p	6,285	0,03
3	Stock Factor устойчивости	8,987	8,991	0,04

Preview image: Array

Note: For the construction of 1,2,3 of the scheme used FE 10 (rod FE). Number of nodes of each circuit:101. Number of elements of each circuit:100.

FILES

Тест 4.6 Torsional Stability

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