MAE 593 Project Presentation PRRR- SERIAL MANIPULATOR RRR-RPR-RRR -PARALELL MANIPULATOR By Nikhil Sapre Tejas Puntambekar
PRRR Serial Manipulator RRR Manipulator mounted on Sliding Base 2 d.o.f at EE (Redundant) Forward Kinematics Inverse Kinematics Workspace Plotting Trajectory  Trace Ellipse Trace Circle Trace Curve P P R R R EE L1 d1 L3 L2 Theta1 Theta2 Theta3
Basic Features Base Position fixed to (0,0) Can Slide along X-Axis from -50 to 50 User defined Link Lengths (5-50) Task Space Configuration Join Space Configuration Plot WorkSpace  Trace Ellipse/Circle Trace Curve  Return to Home Position
GUI – Home Position
Forward Kinematics Xee=d1+L1*cos(theta1)+L2*cos(theta2)+L3*cos(theta3) Yee=L1*sin(theta1)+L2*sin(theta2)+L3*sin(theta3)
Manipulator Forward Kinematics
Inverse Kinematics Redundant System 4-Unknowns, 2 equations Newton-Raphson Numerical method Pseudo Inverse of Jacobian
Manipulator Inverse Kinematics
Plot WorkSpace Divide the space into grid  Check for each point whether inverse exists Mark green diamond if within workspace and red cross if out of reach No internal singularities
Manipulator – Work Space
Trace Ellipse/Circle User input co-ordinates of center and Major and Minor Axis dimensions Trace the ellipse/circle using inverse kinematics
Trajectory-Trace Ellipse
Trajectory-Trace Circle
Trace Curve Input 5 points using mouse  Interpolation between points using interp1 function Trace the curve using inverse kinematics Curve in X and Y direction
Trajectory-Trace Curve Curve in X direction
Trajectory-Trace Curve Curve in Y direction
Trajectory-Trace Curve Random Curve
Trajectory-Trace Curve Error Messages
Demo
RRR-RPR-RRR Parallel Manipulator Chain1-RRR Chain2-RPR Chain3-RRR 3 d.o.f at EE Forward Kinematics Inverse Kinematics d1
Parallel Manipulator GUI
Forward Kinematics First aim is to find unknown joint space variables  Then we can find the Task Space Variables Forward Kinematics First aim is to find unknown joint space variables  Then we can find the Task Space Variables

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MAE 593 Final Project Presentation