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1
Studies the motion of a body, or a system of bodies,
without considering its mass or the forces acting on
it
2
A robot arm, more formally a serial-link
manipulator, comprises a chain of rigid links
and joints
3
4
Revolute: the attached links rotate about a
common axis.
5
Prismatic: the attached links translate about a
common axis
6
Spherical: the attached links rotate about a
point
7
Each joint has one degree of freedom, either
translational (a sliding or prismatic joint) or
rotational (a revolute joint).
8
Robot’s configuration: a specification of the
positions of all points of the robot.
9
described by one of two methods:
1. A list of coordinatesfor each joint (typically an angle
or translation distance) expressed relative to some
reference frame,aka zero position.
2. A spatial representation of its links in the 2D or 3D
world in which it operates
10
The 2D or 3D world in which the robot lives is
known as its workspace
11
the smallest number n of real-valued
coordinates needed to represent the
robot’s configuration
12
x
y
q1
What is the workspace of this robot?
How many dof does this robot have?
13
x
y
q1
Pose of the end effector
R(q1) Tx(a1)
14
q2
x
y
q1
R(q1) Tx(a1) R(q2) Tx(a2)
15
Pose of the end effector
16
y
x
z
PhantomX Pincher Robot
Given a set of joint positions q, what is the pose of
the robot tool-tip x?
17
18
q2
x
y
q1
19
20

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Lecture on robotics for robotics class kinematics.pdf