I understand that you are trying to plot rotational time history with different slopes. Please take a look at below code example in-order to achieve this.
% Define time intervals for each segment
t1 = 0:0.1:1; % Segment 1
t2 = 1:0.1:2; % Segment 2
t3 = 2:0.1:3; % Segment 3
t4 = 3:0.1:4; % Segment 4
% Define rotational speeds for each segment (random values between 1 and 12)
speed1 = 3; % deg/sec
speed2 = 8; % deg/sec
speed3 = 5; % deg/sec
speed4 = 10; % deg/sec
% Calculate the angle for each segment
theta1 = speed1 * (t1 - t1(1));
theta2 = theta1(end) + speed2 * (t2 - t2(1));
theta3 = theta2(end) + speed3 * (t3 - t3(1));
theta4 = theta3(end) + speed4 * (t4 - t4(1));
% Combine time and angle data
t = [t1, t2(2:end), t3(2:end), t4(2:end)];
theta = [theta1, theta2(2:end), theta3(2:end), theta4(2:end)];
% Plot the results
figure;
plot(t, theta, '-o');
xlabel('Time (sec)');
ylabel('\theta (degrees)');
title('Rotation Time History');
grid on;
I hope this helps!
