Тест 9.4 Hinged rod system 4. Large displacements and loss of stability (new)
Verification of the LIRA-FEM software / Тест 9.4 Hinged rod system 4. Large displacements and loss of stability (new) / Analytical Solution: D. Nazarov Review of Modern Finite Element Analysis Programs. - CAD and graphics. -2000. - №2. -С. 52 - 55
Analytical solution: Dmitriy Nazarov Overview of modern finite element analysis software/i>. – САПР и графика. –2000. – №2. –С. 52 – 55
Geometry::
 |
a = 3.5 м; b =10 м. |
Material characteristics: ЕA1 = ЕA2 = 1000 т, ЕA3 = ЕA4 = 2000 т;
linear weight: q1 = 0.001 т/м, q2 = 0.002 т/м.
Boundary conditions: uA = wA = uB = wB = uC = wC = 0.
Loads: P = 190 т.
The system was modeled with four finite elements of thread (FE 310-thread).
CALCULATION RESULTS:
|
Точка |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
|
N1, т |
-245,0 |
-245,3 |
0,1 |
|
|
N2, т |
320,0 |
-318,9 |
0,3 |
|
|
N3=N4, т |
116,0 |
115,89 |
0,2 |
|
D |
uD, м |
0,540 |
0,529 |
0,2 |
|
D |
wD, м |
-8,240 |
-8,241 |
0,01 |
|
E |
uE м |
0,265 |
0,266 |
0,3 |
|
E |
wE, м |
-7,620 |
-7,624 |
0,05 |
Note: The structure loses stability under load P = 187,63 т. In the stable equilibrium state, the point D shifted to the right, rods 3 and 4 stretched in a straight line.
Preview image: Array
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