Courses

Matlab Code:
z = 0;
 y1 = KA - KA * exp (-z*w).* (z*sin(w*sqrt(1-z^2))/sqrt(1-z^2) + cos(w*sqrt(1-z^2)) );
 z = 0.25;
 y2 = KA - KA * exp (-z*w).* (z*sin(w*sqrt(1-z^2))/sqrt(1-z^2) + cos(w*sqrt(1-z^2)) );
z = 0.5;
 y3 = KA - KA * exp (-z*w).* (z*sin(w*sqrt(1-z^2))/sqrt(1-z^2) + cos(w*sqrt(1-z^2)) );

z = 1;
y4 = KA - KA* (1 + w).*exp(-w);

z = 2;
y5 = KA - KA *( (z + sqrt(z^2-1))*exp((-z +sqrt(z^2-1))*w)/(2*sqrt(z^2-1))+ (z - sqrt(z^2-1))*exp((-z -sqrt(z^2-1))*w)/(2*sqrt(z^2-1)) );

Source: https://www.math.ksu.edu/~albin/apps/mass_spring.html

Mass-Spring System Simulation