4. B modeling#

4.1. Characteristics of modeling#

The models tested are DIS_T and DIS_TR on meshes and dots. The stiffness characteristics of the discretes are therefore of the type: K_T_D_L, K_ TR_D_L, K_T_D_N, K_ TR_D_N.

4.2. Characteristics of the mesh#

Number of knots: 6, number of stitches: 4, elements SEG2: 2, elements POI1: 2.

4.3. Boundary conditions and loads#

The condition while traveling is a function of time:

\({U}_{0}.\mathrm{sin}(2\pi .\mathit{f.t})\) with \(f=5\mathrm{Hz};{U}_{0}=0.1m\)

4.4. Discretization in time#

The analysis time step and time interval are:

\(\Delta t=\mathrm{4,0}{10}^{-3}s\) and \(t\in [0s\mathrm{,1}s]\)

4.5. Tested sizes and results#

The sizes tested are:

  • travel, and effort. The values are those shown in the table.

  • the dissipation over a stabilized cycle is given by the equation.

After digital application, the dissipation on a stabilized cycle is:

\({D}_{\mathrm{cycle}}=0.53097854397953936J\)

The cycle considered for calculating the dissipation is the last in the simulation, between the moments \((1.0-1.0/f)\mathit{sec}\) and \(1.0\mathit{sec}\). In reality this cycle is not quite stable, but for reasons of time CPU, it will be considered stabilized. This results in a slight discrepancy between the theoretical value and the calculated value.

Reference Value

Precision

Calculated Value

Dissipation

0.53097854397953936

0.53097854397953936

0.53097854397953936

3.00E-003

0.5295830097