Not sure what's happening in this code and not sure where to come from here.
8 views (last 30 days)
Show older comments
clc; clear all; close all
L = 30;
m = 68.1;
c_d = 0.25;
k = 40;
gamma = 8;
g = 9.81;
h = 0.1;
t = 0: h: 50;
n = length(t);
v = zeros(2, n);
v(:,1) = [0;0];
y = t(2)
for i = 2:n
if y(1) <= L
dy = [y(2);
g - sign(y(2))*c_d*y(2)^2/m];
else
dy = [y(2);
g - sign(y(2))*c_d*y(2)^2/m - k*(y(1)-L)/m - gamma*y(2)/m];
v(:,i) = v(:, i-1) + fun(v(:,i-1), L, m, c_d, k, gamma, g)*h;
end
end
2 Comments
Answers (1)
Alan Stevens
on 3 Dec 2020
You are not keeping track of parameters through time. Try
L = 30;
m = 68.1;
c_d = 0.25;
k = 40;
gamma = 8;
g = 9.81;
h = 0.1;
t = 0: h: 50;
n = length(t);
% You need dx/dt = v; and dv/dt = acceleration
% Simple Euler approach
x = zeros(1,numel(t)); % Allocate storage space
v = zeros(1,numel(t)); % Allocate stirage space
x(1) = 0; % Initial position
v(1) = 0; % Initial velocity
for i = 1:numel(t)-1
x(i+1) = x(i) + h*v(i); % update position
% Select acceleration
if x(i) < L
accn = g - sign(v(i))*c_d*v(i)^2/m;
else
accn = g - sign(v(i))*c_d*v(i)^2/m - k*(x(i)-L)/m - gamma*v(i)/m;
end
v(i+1) = v(i) + h*accn; % update velocity
end
% Plot position and velocity vs time
plot(t,x,t,v),grid
xlabel('time'),ylabel('Posn and Vel')
legend('Posn','Vel')
0 Comments
See Also
Categories
Find more on Numerical Integration and Differential Equations in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!