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



Тест 9.4  Hinged rod system 4. Large displacements and loss of stability (new)

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

FILES
Text file
Source data text file for PC LIRA-SAPR 2011: download

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