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20MTT62 – MECHANICS OF SERIAL MANIPULATOR

COURSE OUTCOMES

On completion of the course the students will be able to

CO1:

interpret the features of a serial manipulator with end effector (K3)

CO2:

compute position and orientation based on robot kinematic structure (K3)

CO3:

develop the forward and inverse kinematics for serial manipulator (K3)

CO4:

analyse the differential motions and velocity of serial manipulator (K3)

CO5:

formulate trajectory and robot dynamics (K3)

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UNIT – I

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Fundamentals of Serial Manipulator: History of robotics - Components of industrial robot – Joint notation scheme - Classification of robots - Robot specifications - Precision of movements - End Effectors: Types of end effectors -Mechanical Gripper: Gripper force analysis - Vacuum cup - Magnetic gripper - Special types of grippers -. Programming modes - Robot applications.

UNIT – II

9

Frame Transformation: Descriptions: Position, Orientation and Frames - Matrix representation: Point, vector, frame and rigid body - Homogeneous Transformation matrices – Representation: Translation, Rotational and Combined transformation – Simple problems.

UNIT – III

9

Robot Kinematics: Forward and inverse kinematics – Equations for position and orientation – Denavit-Hartenberg representation of forward kinematic equations: Two and Three link planer, PUMA and SCARA - Inverse kinematic equation: Two and three link planar.

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UNIT – IV

9

Differential Motions and Velocities: Introduction - Linear and angular velocities of a rigid body - Velocity propagation – Derivation of Jacobian for serial manipulator – Identification of singularities.

UNIT – V

9

Trajectory Planning and Robot Dynamics: Joint space trajectory - Cartesian space trajectory – Simple problems. Robot Dynamics: Acceleration of a rigid body - Inertia of a link - Equation of motion: Legrangian formulation – Newton Euler formulation.

TOTAL: 45

BOOKS:

1.

Saeed B. Niku, "Introduction To Robotics: Analysis, Control, Applications", 2nd Edition, Wiley India Pvt. Ltd., Noida, 2011.

2.

Groover M.P., "Industrial Robotics, Technology, Programming and Applications", 2nd Edition, McGraw-Hill, New Delhi, 2017.

3.

Craig John J., "Introduction to Robotics: Mechanics and Control", 3rd Edition, Pearson Education, New Delhi, 2017.

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A path is defined as the collection of a sequence of configurations a robot makes to go from one place to another without regard to the timing of these configurations.

A trajectory is related to the timing at which each part of the path must be attained.

Path versus Trajectory

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Joint-Space versus Cartesian-Space

The description of the motion to be made by the robot by its joint values is called joint-space description.

The sequence of movements the robot makes is described in Cartesian-space and is converted to joint-space at each segment.

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(a) trajectory specified in Cartesian coordinates may force the robot to run into itself

(b) trajectory may require a sudden change in the joint angles.

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Basics of Trajectory Planning

Joint-space, non-normalized movements of a 2-DOF robot

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Joint-space, normalized movements of a robot with 2 DOF

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Cartesian-space movements of a

2-DOF robot

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Trajectory planning with an acceleration/deceleration regiment

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Blending of different motion segments in a path

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Joint-Space Trajectory Planning

Third-Order Polynomial Trajectory Planning

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Fifth-Order Polynomial Trajectory Planning

Assume the initial acceleration and final deceleration will be 5/sec2 .

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