Not sure what's happening in this code and not sure where to come from here.

8 views (last 30 days)
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

Answers (1)

Alan Stevens
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')

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!