1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

Bar length: \(\mathrm{1.5m}\)

Stiffness of the discretes: \(\mathit{kax},\mathit{kay},\mathit{kbx},\mathit{kby}\)

1.2. Material properties#

Material for the line element: \(E\mathrm{=}2.0E+08\mathit{Pa}\), \(\rho \mathrm{=}1000.0\mathit{kg}\mathrm{/}{m}^{3}\)

Mechanical characteristics of the bar: \(\mathit{section}\mathrm{=}\text{'}\mathit{CERCLE}\text{'}\), \(\mathit{rayon}\mathrm{=}0.5m\), \(\mathit{ep}\mathrm{=}0.5m\)

The stiffness of the springs:

\(\mathit{Kxa}\)

\(\mathit{Kya}\)

\(\mathit{Kxb}\)

\(\mathit{Kyb}\)

\(10N\mathrm{/}m\)

\(20N\mathrm{/}m\)

\(25N\mathrm{/}m\)

\(30N\mathrm{/}m\)

1.3. Boundary conditions and loads#

At points \(A\) and \(B\): blocking the degrees of freedom: \(\mathit{dx},\mathit{dy},\mathit{dz}\)

At points \(\mathit{A1}\) and \(\mathit{B1}\): blocking the degrees of freedom: \(\mathit{dz}\)

The characteristics of the wind speed field, along axis \(y\):

_images/Object_2.svg

1.4. Initial conditions#

The bar is at an angle of 30° (\({\theta }_{0}\mathrm{=}30°\)) with respect to the \(x\) axis.