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Basic Characteristics RAPID

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5 Singularities<br />

Some positions in the robot working space can be attained using an infinite number<br />

of robot configurations to position and orient the tool. These positions, known as<br />

singular points (singularities), constitute a problem when calculating the robot arm<br />

angles based on the position and orientation of the tool.<br />

Generally speaking, a robot has two types of singularities: arm singularities and wrist<br />

singularities. Arm singularities are all configurations where the wrist centre (the<br />

intersection of axes 4, 5 and 6) ends up directly above axis 1 (see Figure 36).<br />

Wrist singularities are configurations where axis 4 and axis 6 are on the same line,<br />

i.e. axis 5 has an angle equal to 0 (see Figure 37).<br />

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Z base<br />

Rotation centre of axis 1<br />

Figure 36 Arm singularity occurs where the wrist centre and axis 1 intersect.<br />

Figure 37 Wrist singularity occurs when axis 5 is 0 degrees.<br />

Singularity at the intersection of the<br />

wrist centre and axis 1<br />

6-36 <strong>RAPID</strong> Reference Manual<br />

X base<br />

Axis 5 with an angle of 0 degrees<br />

Axis 6 parallel<br />

to axis 4<br />

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