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Functional Module FMS Calculation of Rexroth Linear Module (Part 1)
Functional Module FMS Calculation of Rexroth Linear Module (Part 1)
Product details
calculation basis
*Permissible load
The service life of linear guidance system
The service life of ball screw transmission mechanism or fixed bearings
Drive Design
foundation
Drive design based on the reference point of the motor shaft
Rough pre selection of motor
Calculation Example
calculation basis
The correct size definition and application requirements require a structured consideration of the entire powertrain.
The basic components of the powertrain constitute the configuration, which includes linear systems, transmission components (couplings or toothed belt linkages), and motors, and can be ordered according to the product catalog in this case.
*Permissible load
When selecting a linear system, it is necessary to consider the maximum allowable load and force limits, as shown in the chapter "Technical Data". The values saved here depend on the system, that is, these * limits not only come from the rated load of the bearing position, but also include * limits that depend on the structure or material.
Conditions for combined load
The service life of linear guidance system
The service life of the rolling bearings included in the linear system can be determined based on the following formula. The rolling bearing positions related to service life in a linear system with ball screw transmission mechanism are linear guide system, ball screw transmission (nut), and fixed bearings.
cThe minimum value of the service life determined separately for linear guidance systems, ball screw transmission mechanisms, or fixed bearings is determined as the service life data calculated for linear systems.
The linear guidance system of a linear system must withstand loads and possible processing forces.
Combination equivalent bearing load of guide rail
Rated service life (unit: meter)
Due to impact loads and vibrations, additional loads will be applied to the contact points between the ball and the raceway. Accurately determining the usage conditions is difficult. But the higher the operating speed, the higher the additional load. The load factor fw (see table) considers the impact and vibration on the service life.
|
Conditions of Use |
running speed |
Load factor fw |
|
No impact load and vibration |
v < 0.25 m/s |
1.0 . .. 1.2 |
|
Low impact load and vibration |
0.25 m/s≤v < 1 m/s |
1.2 . .. 1.5 |
|
Moderate impact load and vibration |
1 m/s≤v < 2 m/s |
1.5 . .. 2.0 |
|
Strong impact load and vibration |
v≥2 m/s |
2.0 . .. 3.5 |
Rated service life (unit: hour)
The service life of ball screw transmission mechanism or fixed bearings
Under changing working conditions (changing speed and load), the average load Fm and average speed nm must be used in the calculation of service life.
Drive Design
Basic
When designing the drive, the total power component can be divided into mechanical device and drive device parts.
The mechanical device part includes linear system components and transmission parts (toothed belt linkage, coupling), as well as considering the load. The combination of motor regulators with corresponding power values is called an electric drive device.
The design or size definition of the electric drive device is based on the reference point of the motor shaft.
When designing the driver, it is necessary to consider the limit and basic values. Must comply with the limit values to prevent damage to mechanical components.
Technical data and formula symbols for mechanical devices
Corresponding maximum allowable driving torque and speed limits, as well as basic values of friction torque and moment of inertia, must be used for all components (linear systems, couplings, toothed belt linkages).
When considering the basis of drive design, the following technical data and their corresponding formula symbols are used for the mechanical device part. The data in the table below are all listed in the "Technical Data" section, or can be obtained through subsequent analysis
Calculated by the formula on the page.
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mechanism |
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load |
linear system |
Transmission components |
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coupling |
Toothed belt linkage |
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Heavy torque(Nm) |
Mg 6) |
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— |
— |
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