Тест 4.11 Console torsional stability (new)
Verification of the LIRA-FEM software / Тест 4.11 Console torsional stability (new) / Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, M: SCADSOFT Publishing House, 2007, p. 552. 552.
Analytical solution: А. V. Perelmuter, V. I. Slivker Stability of Structures and Related Issues, М.: SKADSOFT Publishers, 2007, p. 552.
Geometry:
L = 10 м; |
Material characteristics: EF = 10 т, ЕIy = EIz = 10 тм2, GI = 10 тм2.
Boundary conditions: Point A is pinched.
Loads: P = 1 т.
CALCULATION RESULTS:
We used rod finite elements (KE 10), the breakdown is 100 KE. The load application nodes are absolutely rigid bodies.
The formulas (3.3.20) from the book by A.S. Gorodetsky and I.D. Evzerov were used for constructing the stability matrix Computer models of structures, М. «АСВ», 2009.
РЕЗУЛЬТАТЫ РАСЧЕТА:
Load diagramя |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
1 |
Stability margin |
1.0 |
1.0 |
0,0 |
2 |
Stability margin |
π |
3,1418 |
0,01 |
3 |
Stability margin |
π/2 |
1,5708 |
0,0 |
4 |
Stability margin |
π/2 |
1,5708 |
0,0 |
5 |
Stability margin |
π/2 |
1,5708 |
0,0 |
Verification examples
- Section 1 Linear static problems for rod systems, plates and shells, three-dimensional problems
- Section 2 Physically nonlinear problems
- Section 3 Geometrically nonlinear problems for threads, cable-stayed trusses, rods, membranes and plates
- Section 4 Задачи устойчивости, в основном изгибно-крутильные формы потери устойчивости
- Section 5 Modal analysis
- Section 6 Linear dynamic problems
- Section 7 Static and dynamic problems with one-sided constraints
- Section 8 Geometric characteristics of the section
- Section 9 Procritical calculations
- Section 10 Problems of stationary and non-stationary heat conduction
Comments