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RX75 Series Parameters and D-H Model

Basic Parameters

Parameter NameParameter Value
Basic ParametersDegrees of Freedom7
ConfigurationHumanoid Configuration
Joint Brake TypeJoints 1~4: Hard Brake
Joints 5~7: Soft Brake
Working Radius/mmSix-Axis Force Version: 709.2
Six-Axis Force + Vision Version: 732
Effective Rated Payload/kg5
Self-weight/kgSix-Axis Force Version: 8.8
Six-Axis Force + Vision Version: 8.9
Repeatability/mm±0.02
TCP Line Speed/m/s≤2.2
Typical Power/W≤200
Instant Peak Power/W≤1000
Installation AngleSide Mount: Ry=-90 °
Base Dimensions/mmφ102
MaterialAluminum Alloy/ABS
End CameraD405 (Standard on Vision Version)
Environmental AdaptabilityOperating Temperature/℃0-45
Operating Humidity25~85% Non-condensing
Motion Angle Range/°J1-173~+173
J2-35~+178
J3-173~+173
J4-130~+15
J5-173~+173
J6-55~+55
J7Left Arm: -109~+35
Right Arm: -35~+109
Maximum Angular Velocity/°/sJ1180
J2180
J3225
J4225
J5225
J6225
J7225
Force Control Specifications (Supported only by 6-DoF sensors)Six-Axis Force Range200N/7N·m
Six-Axis Force Accuracy±0.5%FS

Ontology Parameters

MDH Model Frame:

MDH Parameters of Left-Arm RXL75 Series (Modified D-H Parameters):

Installation Info: Ry=-90°

joint_id(i)ai1(mm)αi1(°)di(mm)θi(°) / offsetiRemarks
100191.50
20-900-90
309032290
409000
50-90275.50
6090090
715.590090
809096.20(6FB) Integrated Six-Axis Force
119(6FB-V) Integrated Six-Axis Force + Vision

Note: offset refers to the offset of the mechanical zero position from the model zero position, that is, model angle = joint angle + offset.

MDH Parameters of Right-Arm RXR75 Series (Modified D-H Parameters):

Installation Info: Ry=-90°

joint_id(i)ai1(mm)αi1(°)di(mm)θi(°) / offsetiRemarks
100191.50
20-900-90
3090322-90
409000
50-90275.50
6090090
715.5900-90
80-9096.20(6FB) Integrated Six-Axis Force
119(6FB-V) Integrated Six-Axis Force + Vision

Note: offset refers to the offset of the mechanical zero position from the model zero position, that is, model angle = joint angle + offset.

Left Arm:

Joint No.Lxx(kg·mm²)Lxy(kg·mm²)Lxz(kg·mm²)Lyy(kg·mm²)Lyz(kg·mm²)Lzz(kg·mm²)x (mm)y (mm)z (mm)m(kg)
13136.4341.478-1.1452483.57678.9471970.778-0.488-13.727-10.7651.559
237530.8922.7172.0411068.573-47.54637444.566-0.112-148.1344.1111.394
32171.46-0.149-4.2641609.222-83.4941253.1850.03215.649-11.2251.117
46216.320.007-0.007359.89848.9066174.838-0.00185.4494.8440.673
59937.67-0.0630.0829288.177899.8121337.425-0.001-14.741-80.6271.13
6360.632-8.175-2.382402.132-1.155421.18513.909-1.023.2450.559
73254.6-841.4220.8111355.093-17.7144268.53420.024-714.3960.483

Right Arm:

Joint No.Lxx(kg·mm²)Lxy(kg·mm²)Lxz(kg·mm²)Lyy(kg·mm²)Lyz(kg·mm²)Lzz(kg·mm²)x (mm)y (mm)z (mm)m(kg)
13144.289-0.096-2.7292483.57622.2651953.830.018-13.67-10.11.559
237594.18142.369-3.6021049.31156.43937524.126-0.197-149.264-3.9051.384
32170.9936.9492.3361609.22284.4541253.793-0.154-15.652-11.2411.117
46201.568-0.116-0.007345.166-48.5236170.874086.537-4.4110.665
59937.599-0.05-0.0069283.329-899.7361337.249014.739-80.6271.13
6360.168-8.32.383402.1311.103421.18513.908-1.017-3.2450.559
73254.587841.524-0.8051355.08815.0954268.52120.008714.3020.483

Description:

  • m: Mass of the link, unit: kg
  • x: X-coordinate of the center of mass of the link, unit: mm
  • y: Y-coordinate of the center of mass of the link, unit: mm
  • z: Z-coordinate of the center of mass of the link, unit: mm
  • Lxx, Lxy, Lxz, Lyy, Lyz, Lzz: Principal moments of inertia described in the link coordinate system, unit: kg·mm²

Remarks:

  • Data above are sourced from CAD design values.
  • If inertial parameters in the center of mass coordinate system are required, the Parallel Axis Theorem can be used. The calculation method is described as follows.

Assuming an output coordinate system {i}, and the center-of-mass coordinate system aligned with {i} is {c}. The coordinates of the center of mass in frame {i} are Pc=[xc,yc,zc]T. According to the parallel axis theorem:

Ic=Lim(PcTPcI3×3PcPcT)

Where:

Li=[LxxLxyLxzLxyLyyLyzLxzLyzLzz]

Joint Distribution and Dimension Description

The RX75 robot imitates the human arm and has 7 rotational joints, each representing one degree of freedom. As shown in the figures below, the robot joints include shoulder (joint 1), shoulder (joint 2), shoulder (joint 3), elbow (joint 4), wrist (joint 5), wrist (joint 6), and wrist (joint 7).

RXBL - Joint Distribution:

alt text

RXBR - Joint Distribution:

alt text

Workspace

Excluding the cylindrical space directly above and below the base, the workspace of RX75 is a sphere with a radius of 709 mm (732 mm for the vision version). When selecting the robot installation position, be sure to consider the cylindrical space directly above and below the robot and avoid moving the tool into this area as much as possible.

In actual applications: Joint 1 range: ±173 ° Joint 2 range: -35 ~ +178 ° Joint 3 range: ±173 ° Joint 4 range: -130 ~ +15 ° Joint 5 range: ±173 ° Joint 6 range: ±55 ° Joint 7 left arm: -109 ~ +35 ° Joint 7 right arm: -35 ~ +109 °

RXBL - Workspace:

alt text

RXBR - Workspace:

alt text

Motion Singularities

Left Arm: RXL75

Singularity Type 1 (when joint 4 = 0, point format [x,x,x,0,x,x,x]):

Example point 1: [-90,30,-90,0,90,0,0], as shown below:

Left Arm Singularity Type 1 Point 1

Example point 2: [0,0,90,0,-90,0,-90], as shown below:

Left Arm Singularity Type 1 Point 2

Singularity Type 2 (when q2=90 and q3=0 or q3=180, point format [x,90,0 or 180,x,x,x,x]):

Example point 1: [-90,90,0,-90,0,0,0], as shown below:

Left Arm Singularity Type 2 Point 1

Example point 2: [0,90,0,-120,0,0,0], as shown below:

Left Arm Singularity Type 2 Point 2

Right Arm: RXR75

Singularity Type 1 (when joint 4 = 0, point format [x,x,x,0,x,x,x]):

Example point 1: [90,30,-90,0,90,0,0], as shown below:

Right Arm Singularity Type 1 Point 1

Example point 2: [0,0,90,0,-90,0,-90], as shown below:

Right Arm Singularity Type 1 Point 2

Singularity Type 2 (when q2=90 and q3=0 or q3=180, point format [x,90,0 or 180,x,x,x,x]):

Example point 1: [90,90,0,-90,0,0,0], as shown below:

Right Arm Singularity Type 2 Point 1

Example point 2: [0,90,0,-120,0,0,0], as shown below:

Right Arm Singularity Type 2 Point 2

Load Curves

The following figures show the end load curves of RX75-6FB and RX75-6FB-V manipulators. Where L is the radial distance from the center of mass of the end load to the end flange plane, and Z is the normal distance from the center of mass of the end load to the end flange plane.

RX75-6FB

RX75-6FB-V