
modelToothedBeltAxis
Model of a toothed belt axis from suppliers such as Festo
Parameters
| Type | Name | Default | Description |
| Geometric data |
| SI.Diameter | d | 0.01846 | Diameter of wheel |
| SI.Diameter | l | 1 | Working stroke |
| Physical data |
| Integer | n_slides | 1 | Number of slides |
| SI.Force | F_Fr | 8 | No load resistance to shifting |
| Real | expan | 9.4e-4 | Expansion at max. feed force of toothed belt |
| SI.TranslationalSpringConstant | c_ax | F_perm/(expan*l) | Rigidity of toothed belt |
| Physical data (Inertia) |
| SI.MomentOfInertia | J_0 | 16.94e-6 | Moment of inertia of wheels |
| Real | J_H | 2.6e-6 | Moment of inertia per metre stroke |
| SI.MomentOfInertia | J_W | 3.56e-6 | Moment of inertia of each additional slides |
| SI.MomentOfInertia | J_F | 0 | Moment of inertia of clamping unit |
| Calculated › Physical data |
| SI.MomentOfInertia | J | J_0 + n_slides*J_W + l*J_H + J_F | Moment of inertia of axis |
| Limiting data |
| SI.Force | F_perm | 50 | Maximum feed force (Catalogue value) |
| SI.Acceleration | a_perm | 50 | Maximum acceleration (Catalogue value) |
| SI.Velocity | v_perm | 3 | Maximum velocity (Catalogue value) |
| SI.Frequency | f_min | 10 | Minimum eigenfrequncy of axis. Constraint f_bs > f_min |
| Engineering data |
| SI.Mass | m_ref | 1000 | Reference mass for eigenfrequency |
| Calculated › Engineering data |
| SI.Frequency | f_bs | 1/(2*Constants.pi)*sqrt(c_ax/m_ref) | Eigenfrequncy of axis |