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%% Group 1 - Abayomi Adekanmbi & Zakari Ishak-Boushaki
clear all; clc; close all;
...
Arduino Code
#include <Stepper.h> //library
const int stepsPerRevolution = 2048; //number of steps per rotation
Stepper myStepper1 = Stepper(stepsPerRevolution, 8, 10, 9, 11);
Stepper myStepper2 = Stepper(stepsPerRevolution, 3, 5, 4, 6);
void setup() {
// put your setup code here, to run once:
myStepper1.setSpeed(5);
myStepper2.setSpeed(5);
Serial.begin(9600);
}
void loop() {
// put your main code here, to run repeatedly:
Serial.println("clockwise");
myStepper1.step(stepsPerRevolution);
Serial.println("counterclockwise");
myStepper2.step(stepsPerRevolution);
}
MATLAB Code
%% Group 1 - Abayomi Adekanmbi & Zakari Ishak-Boushaki
clear all; clc; close all;
L1=5;
L2=1;
L3=7;
L33=7;
L4=4;
L44=4;
L5=4;
L6=4;
L66=8;
L7=4;
A1=0;
A2=pi/2:0.3:6*pi+(pi/2);
A22=pi+A2;
A2=-A2; A22=-A22;
% Point B
Bx=L2.*cos(A2);
By=L2.*sin(A2);
...
[A3,A4] = fourbarpos(L1,L2,L3,L4,A1,A2);
A5=(pi-A4)+(pi/2);
[A32,A42]= fourbarpos (L1,L2,L3,L4,A1,A22);
A52=(pi-A42)+(pi/2);
% Point C
Cx=Bx+(L3.*cos(A3));
Cy=L4.*sin(A4);
C2x=B2x+(L3.*cos(A32));
C2y=L4.*sin(A42);
% Point D
Dx=L1; Dy=0;
p=2.*L4.*((L1.*cos(A1))-(L2.*cos(A2)));
q=2.*L4.*((L1.*sin(A1))-(L2.*sin(A2)));
r=(L1.^2)+(L2.^2)-(L33.^2)+(L44.^2)-(2.*L1.*L2.*cos(A1-A2));
...
A332=2.*atan((-e2-sqrt((d2.^2)+(e2.^2)-(f2.^2)))./(f2-d2));
% Point E
Ex=Dx+L5.*cos(pi-A5);
Ey=Dy+L5.*sin(pi-A5);
...
P2x=H2x+L66.*cos(A62+(pi/2));
P2y=H2y+L66.*sin(A62+(pi/2));
A4=-A4; A5=-A5;
%%% Velocity Calculation
W2=2;
W3=-(L2.*W2.*sin(A2-A4))./(L3.*sin(A3-A4));
W4=(L2.*W2.*sin(A2-A3))./(L4.*sin(A4-A3));
W5=W4;
...
A4=-A4; A5=-A5;
W6=(L5.*W5.*sin(A5-A7)-L44.*W44.*sin(A44-A7))./(L6.*sin(A6-A7));
W7=(L44.*W44.*sin(A44)-L5.*W5.*sin(A5)+L6.*W6.*sin(A6))./(L7.*sin(A7));
A4=-A4; A5=-A5;
% Acceleration
Alf2=0;
Alf3=((L2.*(W2.^2).*cos(A2-A4))+(L3.*(W3.^2).*cos(A3-A4))-(L4.*(W4.^2))-(L2.*sin(A4-A2)))./(L3.*sin(A4-A3));
Alf4=((L2.*Alf2.*sin(A3-A2))-(L2.*(W2.^2).*cos(A2-A3))-(L3.*(W3.^2))+(L4.*(W4.^2).*cos(A4-A3)))./(L4.*sin(A3-A4));
Alf5=Alf4;
...
x = A2;
link3 = A3;
link4 = A4;
link33 = A33;
link44 = A44;
link6 = A6;
link7 = A7;
plot(x,link3,'r', x,link4,'b',x,link33,'g',x,link44,'c',x,link6,'m',x,link7,'k')
legend('Link3','Link4','Link33','Link44','Link6','Link7')
grid on;
title('Jensen Links Position Analysis'); xlabel('Angle(\theta_2)')
ylabel('Position');
figure(2)
x = A2;
link3 = W3;
link4 = W4;
link33 = W33;
link44 = W44;
link6 = W6;
link7 = W7;
plot(x,link3,'r', x,link4,'b',x,link33,'g',x,link44,'c',x,link6,'m',x,link7,'k')
legend('Link3','Link4','Link33','Link44','Link6','Link7')
grid on;
title('Jensen Links velocity Analysis'); xlabel('Angle(\theta_2)')
ylabel('Velocity');
figure(3)
x = A2;
link3 = Alf3;
link4 = Alf4;
link33 = Alf33;
link44 = Alf44;
link6 = Alf6;
link7 = Alf7;
plot(x,link3,'r', x,link4,'b',x,link33,'g',x,link44,'c',x,link6,'m',x,link7,'k')
legend('Link3','Link4','Link33','Link44','Link6','Link7')
grid on;
title('Jensen Links Acceleration Analysis'); xlabel('Angle(\theta_2)')
ylabel('Acceleration');
function [T3,T4]= fourbarpos(L1,L2,L3,L4,T1,T2)
s1=-1;
s2=1;
P=2*L4*(L1*cos(T1)-L2*cos(T2));
Q=2*L4*(L1*sin(T1)-L2*sin(T2));
R=L1^2+L2^2-L3^2+L4^2-2*L1*L2*cos(T1-T2);
T4=2*atan2(-Q+(s1)*sqrt(P.^2+Q.^2-R.^2),R-P);
D=2*L3*(L2*cos(T2)-L1*cos(T1));
E=2*L3*(L2*sin(T2)-L1*sin(T1));
F=L1^2+L2^2+L3^2-L4^2-2*L1*L2*cos(T2-T1);
T3=2*atan2(-E+(s2)*sqrt(D.^2+E.^2-F.^2),F-D);
end
Bill of Materials
...
Items
...
1 Set of 5V Stepper Motors
...
1 Lead Screw Set
...
# Acrylic and Wood x $? = $?
# Bolts and Nuts x $Free? = $Free?
...
4 Dowels x $Free = $Free
...
1 Arduino Uno
...
1 Motor Shield
...
-D);
end
Bill of Materials
Items | Quantity | Cost | Source |
|---|---|---|---|
| Arduino Uno | 1 | $24 | Amazon |
5V Stepper Motor & Darlington Arrays | 5 | $14 | Amazon |
| 1 Set of Jumper Wires | 120 | $6.89 | Amazon |
| Power Module | 1 | $17 | Amazon |
| Computer Cable | 1 | $2.60 | Amazon |
Lead Screw Set | 1 | $12 | Amazon |
| Caster Wheels | 1 | $10.79 | Amazon |
Dowels, Wood, and 3D Printed Material | 6 | Free | TIW |
| 5 Sets of Ball Bearings | 50 | $57.4 | Amazon |
| 1 Set of Sliders | 2 | $17 | Amazon |