8. F modeling#

This modeling corresponds to modeling A with 2D elements.

8.1. Characteristics of modeling#

Discrete translational stiffness element 2D_ DIS_T

Characteristics of the elements

Boundary conditions:

Node names: \(A,{P}_{\mathrm{1,}}{P}_{\mathrm{2,}}\mathrm{....},{P}_{\mathrm{8,}}B\)

Number of knots:	10
Number of meshes and types:	9 SEG2et 8 POI1

Nature of clean mode	Point	Clean mode Reference in 10 —3 Real part Imaginary part
Translation 1 (\(\mathit{Dy}\)) \({\Phi }_{1}\)	P1 P2 P3 P4 P5 P6 P7 P8	4.07, —4.56 7.97, —8.28 10.9, —11.0 12.5, —12.5 12.5, —12.4 11.1, —10.9 8.24, —8.04 4.41, —4.25
Translation 8 (\(\mathit{Dy}\)) \({\Phi }_{8}\)	P1 P2 P3 P4 P5 P6 P7 P8	2.23, —1.14 —3.71, 2.98 4.75, —4.41 —5.25, 5.27 5.14, —5.43 —4.44, 4.88 3.23, —3.69 —1.66, 2.01

Eigenmode standardized to the unit modal mass: \({\phi }_{i}^{t}C{\phi }_{i}+2{\lambda }_{i}{\phi }_{i}^{t}M{\phi }_{i}\mathrm{=}1\)

\(\lambda\): is the eigenvalue associated with damping and natural frequency.

The 8 depreciations and natural frequencies, as well as the associated natural vectors.