Challenge

Week 3.2 - 2R Robotic Arm Challenge

Aim

To write a MATLAB program for animating the motion of a forward kinematic 2R robotic arm

2R Robotic Arm

A 2r robotic arm is a type of robotic manipulator that consists of two revolute joints. The “2R” notation signifies that the arm has two such joints. This type of robotic arm is commonly used in various application due to its simplicity and flexibility.

Program

close all

clear all

clc

% Define parameters

% length of links

L1 = 1;

L2 = .5;

% angle range

theta1 = linspace(0,90,20);

theta2 = linspace(0,90,20);

ct = 1;

% Loop through all compination of theta1 and theta2

for i = 1:length(theta1)

THETA1 = theta1(i);

for j = 1:length(theta2)

THETA2 = theta2(j);

% Base coordinates of link-1

X0 = 0;

Y0 = 0;

% End coordinates of link-1

X1 = L1*cosd(THETA1);

Y1 = L1*sind(THETA1);

% End coordinates of link-2

X2 = X1 + L2*cosd(THETA2);

Y2 = Y1 + L2*sind(THETA2);

% Plot the robotic arm

plot([X0 X1],[Y0 Y1],[X1 X2],[Y1 Y2],'-o', 'LineWidth',2)

axis([-0.1 2 0 2]);

pause(0.03);

% Capture frames for the movie

M(ct) = getframe(gcf);

ct = ct + 1;

end

end

% Making a movie from collected frames

movie(M)

% Creating and saving the file

videofile = VideoWriter('Forward_Kinematics_2R-Robotic_Arm.avi','uncompressed AVI');

open(videofile)

writeVideo(videofile,M)

close(videofile)


Explanation

Length of both links are given as L1 and L2

Angle range of links are given as theta1 and theta2

For loop for running through each angle of links to calculate end coordinates of link-1 and link-2

Starting coordinates of link-1 is given as

X0 = 0

Y0 = 0

End coordinates of link-1 is calculated using (starting coordinates of link-2)

X1 = L1cosθ

Y1 = L1sinθ

End coordinates of link_2 is calculated using

X2 = X1 + L2cosθ

Y2 = X1 + L2sinθ

Links are plotted with calculated coordinates

Frames are collected in M and is made into a movie

File is created and the animation is saved

Output

Output is an animated clip and it is provided in the link below

https://youtu.be/Pcoc90UELoA?si=R-Q_C7SMaGbJK0HN

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