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RML63 Series Parameters and D-H Model

Basic Parameters

Parameter NameParameter Value
Basic ParametersDegrees of Freedom6
ConfigurationHumanoid Configuration
Joint Brake TypeJoints 1 to 4: Hard Brake
Joints 5 to 6: Soft Brake
Working Radius/mmStandard Version: 900
Six-Axis Force Version: 928.5
Payload/kg3
Self-weight/kgStandard Version: 10
Six-Axis Force Version: 10.1
Repeatability/mm±0.05
TCP Line Speed/m/s≤2.8
Typical Power/W≤100
Peak Power/W≤200
Installation AngleAny Angle
Base Dimensions/mmφ107
MaterialAluminum Alloy/ABS
Environmental AdaptabilityOperating Temperature/℃0-45
Operating Humidity25~85% Non-condensing
Protection LevelBody IP54
Motion Angle Range/°J1-178~+178
J2-178~+178
J3-178~+145
J4-178~+178
J5-178~+178
J6-360~+360
Maximum Angular Velocity/°/sJ1180
J2180
J3225
J4225
J5225
J6225
Force Control SpecificationsSix-Axis Force RangeStandard Version: -
Six-Axis Force Version: 200N/7N·m
Six-Axis Force AccuracyStandard Version: -
Six-Axis Force Version: <0.5%FS

Ontology Parameters

MDH model frame:

MDH parameters of RML63 (modified D-H parameters):

Joint No.(i)ai1(mm)αi1(°)di(mm)offset(°)
1001720
2-86-900-90
33800090
469904050
50-900180
60-90d6180
  • RML63-B  : d6=115 mm
  • RML63-6F: d6=143.5 mm

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

joint_id(i)123456-
m1.8372.0061.9611.2011.0260.1070.248
x-68.442166.733.3990-0.031-0.506-0.426
y-23.913-0.002-29.498-35.17730.1460.2550.237
z-6.938-92.59-17.697-184.4-12.341-10.801-27.223
Lxx3462.12918664.8336432.81953007.5632732.46650.918308.844
Lxy-3765.305-0.5873869.875-0.04-2.123-3.136-3.781
Lxz-46.20630804.1417.6070.0870.374-0.699-1.468
Lyy12643.164103568.4837094.21650754.293829.79347.42304.616
Lyz-50.044-0.287-17.611-5089.754-2.2880.3880.888
Lzz13576.75886722.5599257.0632874.6312384.32360.35122.62
RemarksB6F

Description:

  • m is the mass of the link, kg
  • x is the x-coordinate of the center of mass of link, mm
  • y is the y-coordinate of the center of mass of link, mm
  • z is the z-coordinate of the center of mass of link, mm
  • Lxx,Lxy,Lxz,Lyy,Lyz,Lzz is the principal moment of inertia described in the link frame, kg·mm²
  • B: standard version, 6F: six-axis force version

Remarks:

  • Source of data: CAD design values.
  • If the inertial parameters in the center of mass frame are required, they can be calculated based on the parallel axis theorem, as stated below.

Assuming there is an output frame {i}, the center of mass frame coinciding with this coordinate system {i} is {c}, and the coordinates of the center of mass in this frame {i} are Pc=[xc,yc,zc]T, then according to the parallel axis theorem:

Ic=Lim(PcTPcI3×3PcPcT)

Where,

Li=[LxxLxyLxzLxyLyyLyzLxzLyzLzz]

Distribution and dimensions of joints

The RML63 humanoid robotic arm has six rotating joints, each of which represents one degree of freedom. As shown in the figure below, robot joints include the shoulders (joint 1 and joint 2), elbow (joint 3), and wrists (joint 4, joint 5, and joint 6).

alt text

Workspace

The workspace of RML63-B is a sphere with a working radius of 900 mm, in addition to the cylindrical space directly above and below the base. When determining the installation position of the robot, due considerations must be given to the cylindrical space directly above and below the robot, to avoid moving tools to this cylindrical space as much as possible. Furthermore, in actual applications, the motion ranges of all joints are as follows: joint 1: ±178°; joint 2: ±178°; joint 3: -178° to +145°; joint 4: ±178°; joint 5: ±178°; joint 6: ±360°.

alt text

Motion singularities

Wrist singularity

Co-axis of joint 4 and joint 6, q5=0, i.e. the point format is [x,x,x,x,0,x], indicated point [0,60,30,0,0,0], as shown in the figure below:

Wrist singularity

Boundary singularity

The end of robotic arm reaches the farthest end (a special situation of q3=0), i.e. the point format is [x,x,x,0,x,0,x], Indicated points [0,0,0,0,0,0], [-90,-45,0,0,0,0], and [-90,-90,0,0,0,0] as shown in the figure below:

Boundary singularity 1

Boundary singularity 2

Boundary singularity 3

Load curves

Represent the end load curves of RML63-B and RML63-6F. Where, L refers to the radial distance of the center of mass of end load against the plane of end flange, and Z refers to the normal distance of the center of mass of end load against the plane of end flange.

RML63-B

RML63-6F