Code needs to be usable in MATLAB The following suspension system has two suppor

Question

Code needs to be usable in MATLAB

The following suspension system has two support structures—a spring and a rubber pad. Vertical force F (N) acts on the moveable plate. The spring has a spring constant of k1 = 1000 N/m. The rubber pad has a spring constant of k2 = 20000 N/m. The rubber pad starts touching the moving plate when the plate has moved down by a distance of a = 4 cm from the unloaded position. Define a function m-file that calculates the displacement x for given inputs of F, k1, k2, and a. Using the function, calculate the displacement for F = 0, 20, 40, 60, 80, 100 N. Plot these in F-x coordinates (F-horizontal, x-vertical) using solid lines and square markers. Annotate the figure.

Hint: the suspension system becomes stiffer for F > 40 N = k1*a. When the plate is supported only by the spring, the force is F = k1*x, whereas when the plate is supported by the spring and the rubber pad, the force is F = k1*x + k2*(x-a).

Explanation / Answer

function X = m-file(F,k1,k2,a)
% X = (F + k2*a)/(k1+k2)
X = (F + k2*a) ./ (k1+k2);
end

f = [0 20 40 60 80 100];
for i = 1:6
X = m-file(f(:,i),1000,20000,4)
end

% plotting
F = linspace(0,100,20);
X = zeros(1,20);
for i = 1:20
X(:,i) = m-file(f(:,i),1000,20000,4);
end
plot(X,Y);

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