Тест 3.9 Geometrically nonlinear problem with rods of different stiffness

Verification of the LIRA-FEM software / Тест 3.9 Geometrically nonlinear problem with rods of different stiffness / Analytical solution: G. N. Vanderplaats, Numerical Optimization Techniques for Engineering Design with Applications, McGraw-Hill Book Co., Inc., New York, NY, 1984, pp. 72-73, ex. 3-1.

Geometrically nonlinear problems for threads, cable-stayed trusses, rods, membranes and plates

Analytical solution:: G. N. Vanderplaats, Numerical Optimization Techniques for Engineering Design with Applications, McGraw-Hill Book Co., Inc., New York, NY, 1984, pp. 72-73, ex. 3-1.

Geometry:

l = 10 см.

Material characteristics: k₁ = 8 Н/см; k₂ = 1 Н/см.

Boundary conditions: u₁ = v₁ = u₂ = v₂ = 0.

Stresses: F = 5√2 Н.

CALCULATION RESULTS:

Point	The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
2	Moving u₂, см	8,631	8,654	0,27
2	Moving v₂, cм	4,533	4,533	0

Preview image: Array

Note: For the construction of the scheme was used FE 310 (geometrically non-linear rod FE). Number of nodes:3. Number of elements:2.

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Тест 3.9 Geometrically nonlinear problem with rods of different stiffness

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