Belt drive
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| in the palette | on the schematic |
The block is designed to simulate a belt drive consisting of two pulleys and a chain. A block is a submodel that includes blocks (Figure 1):
Figure 1. Model of belt drive
- The blocks Belt drive pulley simulate the interaction of the belt with the pulleys
- The blocks Mass simulate the movement of the belt segments between the pulleys
- Blocks Translatory spring and Translatory damper simulate viscoelastic forces of belt deformation
The belt mass, the stiffness factor and the damping factor can be defined manually or calculated based on the geometric dimensions of the belt and the material properties. In this case, the mechanical characteristics are calculated by the formulas:
where:
- M – mass of the belt per unit length, kg/m
- S – belt cross-sectional area, m2
- N – number of belts, for a flat belt N = 1
- ρ – belt material density, kg/m3
- K – belt elasticity coefficient, N/m
- E – belt elastic modulus, Pa
- L – distance between pulleys, m
- D – belt damping factor, N·s/m
- C – viscosity damping factor of the belt
A detailed description of the belt friction model on the pulley is given on the page Belt drive pulley.
Inputs
| Name | Description | Connection line type |
|---|---|---|
| B | Port for connecting the drive shaft (base) | Rotary mechanics |
| F | Port for connecting the driven shaft (following) | Rotary mechanics |
Outputs
None.
Properties
| Name | Parameter | Description | By default | Data type |
|---|---|---|---|---|
| Direction of rotation of the driving and driven pulleys | Dir | Allows you to set the direction of rotation of the driving and driven pulleys. The possible values are: "Same direction", "Opposite direction" | In the same direction | Перечисление |
| Belt | A group of properties that define the belt parameters | |||
| Belt type | BType | Allows you to set the belt type. The possible values are: "Flat", "V-belt" | Flat | Перечисление |
| Number of belts | N | Number of belts. The property is available when you select the type of the belt as "V-belt”. | 5 | Целое |
| Belt wedge angle, deg. | Fi | Belt wedge angle. The property is available when you select the type of the belt as "V-belt”. | 40 | Вещественное |
| Mechanical characteristics | A group of properties that define the mechanical characteristics of the rod | |||
| How to set the mechanical characteristics | ChType | Allows you to set the method of setting the mechanical characteristics. The possible values are: “Manual", "Material properties" | Material properties | Перечисление |
| Distance between pulleys, m | L | Distance between pulleys | 1 | Вещественное |
| Belt cross-sectional area, m2 | S | Belt cross-sectional area. The property is available when selecting the mechnical characteristics defining method as "Material properties" | 0.0001 | Вещественное |
| Material density, kg/m3 | Rho | Material density The property is available when selecting the mechnical characteristics defining method as "Material properties" | 250 | Вещественное |
| Material elastic modulus, Pa | E | Material elastic modulus. The property is available when selecting the mechnical characteristics defining method as "Material properties" | 2500000 | Вещественное |
| Viscosity damping factor | C | Viscosity damping factor. The property is available when selecting the mechnical characteristics defining method as "Material properties" | 2 | Вещественное |
| Stiffness factor, N/m | K | Stiffness factor. When selecting the method of setting the mechanical characteristics, the "Material properties" switches to the "Read-only" mode and displays the calculated stiffness coefficient | 250 | Вещественное |
| Damping factor, N·s/m | D | Damping factor. When selecting the method of setting the mechanical characteristics, the "Material properties" switches to the "Read-only" mode and displays the calculated damping factor | 7.071068 | Вещественное |
| Mass of the belt per unit length, kg/m | M | Mass of 1 meter of the belt. When selecting the method of setting the mechanical characteristics, the "Material properties" switches to the "Read-only" mode and displays the calculated mass | 0.025 | Вещественное |
| Initial conditions | A group of properties that define the initial conditions | |||
| Belt initial speed, m/s | V0 | Belt initial speed | 0 | Вещественное |
| Initial belt tension, N | F0 | Initial belt tension | 100 | Вещественное |
| Driving pulley | A group of properties that define the driving pulley parameters | |||
| Pulley radius, m | R_B | Pulley radius | 1 | Вещественное |
| Angle of belt contact, deg | Teta_B | Angle of belt contact | 180 | Вещественное |
| Coefficient of bearing friction, Nm·s/rad | B_B | Coefficient of bearing friction | 0 | Вещественное |
| Speed threshold, m/s | Vth_B | The sliding speed of the belt on the driving pulley, below which the friction force is reduced to achieve the stability of the numerical solution | 1 | Вещественное |
| Coefficient of contact friction | Mu_B | Coefficient of contact friction | 0.5 | Вещественное |
| Minimum pressing force applied to the pulley | Fmin_B | The value of the minimum belt pressing force on the pulley used to achieve the stability of the numerical solution | 10 | Вещественное |
| Driven pulley | A group of properties that define the driven pulley parameters | |||
| Pulley radius, m | R_F | Pulley radius | 1 | Вещественное |
| Angle of belt contact, deg | Teta_F | Angle of belt contact | 180 | Вещественное |
| Coefficient of bearing friction, Nm·s/rad | B_F | Coefficient of bearing friction | 0 | Вещественное |
| Speed threshold, m/s | Vth_F | The sliding speed of the belt on the driving pulley, below which the friction force is reduced to achieve the stability of the numerical solution | 1 | Вещественное |
| Coefficient of contact friction | Mu_F | Coefficient of contact friction | 0.5 | Вещественное |
| Minimum pressing force applied to the pulley | Fmin_F | The value of the minimum belt pressing force on the pulley used to achieve the stability of the numerical solution | 10 | Вещественное |
Parameters
| Name | Parameter | Description | Data type |
|---|---|---|---|
| Power losses, W | Q | Power loss on belt slip | Вещественное |
| Driving pulley | A group of parameters displaying the parameters of the driving pulley | ||
| Angular speed of the pulley, rad/s | W_B | Angular speed of the pulley | Вещественное |
| Torque at the pulley, Nm | T_B |
Torque at which the connected blocks act on the driving pulley |
Вещественное |
| Belt speed,m/s | V_B | Belt speed | Вещественное |
| Belt slip,m/s | V_Rel_B | Belt slip | Вещественное |
| Driven pulley | A group of parameters displaying the parameters of the driven pulley | ||
| Angular speed of the pulley, rad/s | W_F | Angular speed of the pulley | Вещественное |
| Torque at the pulley, Nm | T_F |
Torque at which the connected blocks act on the driven pulley |
Вещественное |
| Belt speed,m/s | V_F | Belt speed | Вещественное |
| Belt slip,m/s | V_Rel_F | Belt slip | Вещественное |
| Belt driving part | A group of parameters displaying the parameters of the belt driving part | ||
| Tension force at the driving pulley, N | F1_B | Tension force at the driving pulley | Вещественное |
| Tension force at the driven pulley, N | F1_F | Tension force at the driven pulley | Вещественное |
| Belt speed,m/s | V1 | Belt speed | Вещественное |
| Belt driven part | A group of parameters displaying the parameters of the belt driven part | ||
| Tension force at the driving pulley, N | F2_B | Tension force at the driving pulley | Вещественное |
| Tension force at the driven pulley, N | F2_F | Tension force at the driven pulley | Вещественное |
| Belt speed,m/s | V2 | Belt speed | Вещественное |
Examples
Examples of block application: