Question

Create a MATLAB code to solve the following problem using the cycloidal displacement method discussed in the notes. Generate the SVAJ plot, and be sure to label each plot. Design a double-dwell cam to move a follower from 0 to 2.5 in in 60 deg, dwell for 120 deg, fall 2.5 in in 30 deg and dwell for the remainder. The total cycle must take 4 sec. Plot the sv aj diagrams.

Answer 1

SOLUTION:-

%Matlab code:-

clear

%CYCLOIDAL CAM

T=0:0.1:360; %define theta in degree

[~,n]=size(T); %find no of division of degree

t=4; %given time of rotation

S=2.5; % stroke length

To=60; % outstroke degree

Td1=120; % first dwell

Tr=30; % return stroke

w=2*pi/t; % angular velocity

% compute s,v,a using formula

for i=1:n

if T(i)<=To

s(i)=S*((T(i)/To)-sin(2*pi*T(i)/To)/(2*pi));

v(i)=(w*S/To)*(1-cos(2*pi*T(i)/To));

a(i)=2*pi*S*((w/To)^2)*sin(2*pi*T(i)/To);

elseif T(i)<(To+Td1)

s(i)=S;

v(i)=0;

a(i)=0;

elseif T(i)<(To+Td1+Tr)

c=To+Td1

s(i)=S*(((Tr-(T(i)-c))/Tr)-sin((Tr-(T(i)-c))*(2*pi/Tr))/(2*pi));

v(i)=(w*S/Tr)*(1-cos((Tr-(T(i)-c))*(2*pi/Tr)));

a(i)=2*pi*S*(w/To)^2*sin((Tr-(T(i)-c))*(2*pi/Tr));

else

s(i)=0;

v(i)=0;

a(i)=0;

end

end

%plot the required s, v, a

subplot(2,2,1)

plot(T,s)

subplot(2,2,2)

plot(T,v)

subplot(2,2,3)

plot(T,a)

%end of matlab code

%OUTPUT:-