Тест 9.1 Hinged rod system 1. Large displacements and loss of stability (new)

Verification of the LIRA-FEM software / Тест 9.1 Hinged rod system 1. Large displacements and loss of stability (new) / Analytical solution: V. I. Shalashilin et al. On the use of FEM in solving geometrically nonlinear problems. - CAD and graphics. -2000. - №4. -С. 26 - 31.

Procritical calculations


Тест 9.1 Hinged rod system 1. Large displacements and loss of stability (new)

Analytical solution: В. I. Shalashilin et al.. On the use of FEM in solving geometrically nonlinear problems. - CAD and graphics. –2000. – №4. –С. 26 – 31.

Geometry:


a = 2 м;
b =10 м.

Material characteristics: ЕA1 = 2000 т, ЕA2 = 1000 т;

linear weight: q1 = 0.002 т/м, q2 = 0.001 т/м.

Boundary conditions: uA = wA = wB = uC = 0

Loads: P = 200 т.

The system was modeled by two finite elements of a thread (FE 310-thread).

CALCULATION RESULTS:

Loading

The desired value

Analytical solution

Calculation results (LIRA)

Uncertainty,%

N1, т

174,38

173,64

0,42

N2, т

239,87

239,8

0,03

B

uB, м

0,336

0,342

1,79

C

wC, м

-24,633

-24,646

0,05

Note: The structure loses stability twice:

When loaded P = 74,850 т, moves uB = -0,508 м, wC = -4,446 м. The stable equilibrium state is at uB = -3,609 м,wC =-18,649 м.

When loaded P = 177,70 т, moves uB = -2,960м, wC = -22,225 м. The stable equilibrium state is at uB = 0,316 м, wC = -24,209 м.

Preview image: Array

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

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