1. Reference problem#
1.1. Geometry#
The geometric characteristics of the beam constituting the mechanical model are as follows:
Length: \(L=10m\)
Cross Section |
Area |
\(\mathrm{IZ}=\mathrm{IY}\) |
|
\(3.439{10}^{-3}{m}^{2}\) |
|
|
The coordinates (in meters) of the characteristic points of the beam are:
\(A\) |
|
|
\(x\) |
||
\(y\) |
1.2. Material properties#
The properties of the material from which the beam is made are:
\(E=1.658\times {10}^{11}\mathit{Pa}\)
\(\nu =0.3\)
\(\mathrm{\rho }=1.3404106104\mathit{kg}\mathrm{.}{m}^{-3}\)
\(\alpha =\text{AMOR\_ALPHA}=0.001\)
\(\beta =\text{AMOR\_BETA}=0.\)
1.3. Boundary conditions and loads#
The boundary condition that characterizes this problem is the embedment of point \(A\) and is written as:
\(u=v=0.\)
\(\mathrm{\theta }=0.\)
For charging we have:
\(\mathrm{Fx}=3000.N\) |
\(\mathrm{Fy}=\mathrm{Fz}=0.\) |
(tractive force) |
|
\(\mathrm{Fx}=0.\) |
|
|
(bending force) |