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May 28th, 2016
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MatLab 0.90 KB | None | 0 0
  1. t=0:0.001:200;
  2. N=length(t);
  3. dt=(t(end)-t(1))/N;
  4. g=9.8; L=9.8; m=9.8;
  5.  
  6. A=0; B=0; gamma=0;
  7. starting_angles=[pi/4, pi/2, .95*pi];
  8.  
  9. for k=1:length(starting_angles)
  10.     theta(1)=starting_angles(k);
  11.     omega(1)=0;
  12.     KE(1)=(1/2)*m*L^2*omega(1)^2;
  13.     PE(1)=m*g*((1-cos(theta(1)))*L);
  14.     TE(1)=KE(1)+PE(1);
  15.    
  16.     for j=1:N-1
  17.         theta_m=theta(j)+(omega(j)*dt);
  18.         omega_m=omega(j) - (( (g/L * sin(theta(j))) + (gamma*omega(j)) - (A*cos(B*t(j))) )*dt);
  19.         theta(j+1)=theta(j) + (omega_m*dt);
  20.         omega(j+1)=omega(j) - (( (g/L * sin(theta(j))) + (gamma*omega(j)) - (A*cos(B*t(j))) )*dt);
  21.         KE(j+1)=(1/2)*m*L^2*omega(j+1)^2;
  22.         PE(j+1)=m*g*((1-cos(theta(j+1)))*L);
  23.         TE(j+1)=KE(j+1)+PE(j+1);
  24.     end
  25.    
  26.     figure(1)
  27.     plot(theta,omega)
  28.     hold on
  29.    
  30.     figure(2)
  31.     plot(t,theta)
  32.     hold on
  33.    
  34.     figure(3)
  35.     plot(t,omega)
  36.     hold on
  37. end
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