Тест 3.11 Strong bending of the cantilever plate

Verification of the LIRA-FEM software / Тест 3.11 Strong bending of the cantilever plate / Analytical solution: K. J. Bathe, E. N. Dvorkin, “A Formulation of General Shell Elements - The Use of Mixed Interpolation of Tensorial Components”, Int. Journal for Numerical Methods in Engineering, Vol. 22 No. 3, 1986, pg. 720.

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

Analytical solution: K. J. Bathe, E. N. Dvorkin, “A Formulation of General Shell Elements - The Use of Mixed Interpolation of Tensorial Components”, Int. Journal for Numerical Methods in Engineering, Vol. 22 No. 3, 1986, pg. 720.

Geometry:

l = 12 мм;
b = 1 мм;
t = 1 мм.

Material characteristics: Е = 1800 Н/мм², ν = 0.0.

Boundary conditions: The contour along the line x = 0 is rigidly pinched.

Stresses: М = 15.708 Нмм.

CALCULATION RESULTS:

Point	The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
X = 12	Moving u_х, мм	-2,9	-2,91	0,34
	Moving w_х, мм	-6,5	-6,603	1,58
	Turning angle θ_х, рад	1,26	1,2566	0,27
X = 0	σ_X, Н/мм² (top layer)	94,25	94,248	0,04

Preview image: Array

Note: For the construction of the scheme was used FE 341 (geometrically non-linear rectangular FE). Number of nodes:303. Number of elements:200.

FILES

Тест 3.11 Strong bending of the cantilever plate

Comments

Follow us