How to simplify this and make it efficient?
Info
This question is closed. Reopen it to edit or answer.
Show older comments
lc, clear all
A= 0.06;
k_l = 26400; %Linear stiffness
m = 483; %Mass
l =0.5;
d =-0.005;
f_n = sqrt(k_l/m)/(2*pi); %Natural frequency
%%
Om_array = linspace(0,20,20); %in rad/s-1
l_array = linspace(0,1,20);
[om_array, L_array] = meshgrid(Om_array, l_array);
Response_amp = zeros(size(Om_array));
T = 150;
x0 = [0,0];
for i=1:numel(Om_array)
for j=1:numel(l_array)
Om = om_array(i,j);
l = L_array(i,j);
k_s = -(k_l*(l-d))/(4*d); %Spring stiffness
f = @(t,x) [ x(2); ...
-(2*k_s*(x(1)-(A*sin(Om*t)))).* ...
(sqrt((l-d).^2 + (x(1)-(A*sin(Om*t)))^2) - l)/ ...
(m*(sqrt((l-d).^2 + (x(1)-(A*sin(Om*t)))^2))) ];
[t, x] = ode45(f,[100,T],x0);
Response_amp(i,j) = (max(x(:,1)) - min(x(:,1)))/2;
% xval(i) = Om/(2*pi) ;
end
end
%% plot
figure(1);
ax = axes();
view(3);
hold(ax);
view([30 33]);
grid on
mesh(om_array/(2*pi),L_array,Response_amp) ;
xlabel('Frequency (Hz)')
ylabel('Length of the spring (m)')
zlabel('Response Amplitude (m)')
set(gca,'FontSize',15)
% set(gca,'xtick',[])
% set(gca,'ytick',[])
% set(gca,'ztick',[])
%%
%l = linspace(0,1,40);
%b = max(max(Response_amp));
hold on
d =-0.01;
Om_array = linspace(0,20,20); %in rad/s-1
l_array = linspace(0,1,20);
[om_array, L_array] = meshgrid(Om_array, l_array);
Response_amp = zeros(size(Om_array));
T = 150;
x0 = [0,0];
for i=1:numel(Om_array)
for j=1:numel(l_array)
Om = om_array(i,j);
l = L_array(i,j);
k_s = -(k_l*(l-d))/(4*d); %Spring stiffness
f = @(t,x) [ x(2); ...
-(2*k_s*(x(1)-(A*sin(Om*t)))).* ...
(sqrt((l-d).^2 + (x(1)-(A*sin(Om*t)))^2) - l)/ ...
(m*(sqrt((l-d).^2 + (x(1)-(A*sin(Om*t)))^2))) ];
[t, x] = ode45(f,[100,T],x0);
Response_amp(i,j) = (max(x(:,1)) - min(x(:,1)))/2;
% xval(i) = Om/(2*pi) ;
end
end
%% plot
figure(1);
ax = axes();
view(3);
hold(ax);
view([30 33]);
grid on
mesh(om_array/(2*pi),L_array,Response_amp) ;
xlabel('Frequency (Hz)')
ylabel('Length of the spring (m)')
zlabel('Response Amplitude (m)')
set(gca,'FontSize',15)
mesh(om_array/(2*pi),L_array,Response_amp) ;
hold off
Hi, all. This code shows 2 different graphs in the same figure when d = -0.005 and -0.01. However, I wish to simplify this code as it seems to be quite long-winded. Also, I want to vary d from -0.005 to -0.03.
Thanks for reading and I would appreciate your time for solving this problem.
Answers (0)
This question is closed.
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!