Тест 9.2 Hinged rod system 2. Large displacements and loss of stability (new)

Analytical solution:Dmitriy Nazarov An overview of modern finite element analysis programs. - CAD and graphics. –2000. – №2. –С. 52 – 55

Geometry:

a = 9.5 м; b =10 м.

Material characteristics: ЕA1 = 1000000 т, ЕA2 = 1000 т;

linear weight: q1 = 0.25 т/м, q2 = 0.00025 т/м.

Boundary conditions: w_A = u_B = u_C = w_C = u_D= 0.

Loads: P = 150 т.

The system was modeled by three finite elements of the filament (FE 310- filament).

CALCULATION RESULTS:

Point The desired value Analytical solution Calculation results (LIRA) Uncertainty,% N1, т -700,0 -693,0 1,0 N2, т 302,0 296,0 0,5 N3, т 380,0 380,16 0,01 D wD, м 9,50 9,50 0,0 B wB, м -6,95 -6,947 0,05 A uA, м -3,80 -3,80 0,0 Note: The structure loses stability under load P = 133,20 т, movesuA = –2,602м, wB = –3,584 м, wD = 3,884м. The stable equilibrium state is at uA = -3,8 м, wB = -6,937 м, wD = 9,494м. Preview image: Array Note: For the construction of the scheme was used FE 310 (geometrically non-linear rod FE). Number of nodes:4. Number of elements:3. FILES Source data text file for PC LIRA-SAPR 2011: download Back to the list Share this article   Comments Write Verification examples Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Section 9 Section 10 Follow us ‹ › × × Previous Next