create a quarter car suspension model in matlab

main.m
function main()
    % Define system parameters
    m_sprung = 350; % Mass of the sprung mass (kg)
    m_unsprung = 35; % Mass of the unsprung mass (kg)
    k_spring = 10000; % Spring stiffness (N/m)
    c_damper = 1000; % Damping coefficient (Ns/m)
    
    % Define initial conditions
    x_sprung_0 = 0; % Initial displacement of the sprung mass (m)
    x_dot_sprung_0 = 0; % Initial velocity of the sprung mass (m/s)
    x_unsprung_0 = 0; % Initial displacement of the unsprung mass (m)
    x_dot_unsprung_0 = 0; % Initial velocity of the unsprung mass (m/s)
    
    % Define simulation parameters
    t_start = 0; % Start time (s)
    t_end = 10; % End time (s)
    dt = 0.01; % Time step (s)
    
    % Create arrays to store results
    t = t_start:dt:t_end; % Time array
    x_sprung = zeros(size(t)); % Sprung mass displacement array
    x_unsprung = zeros(size(t)); % Unsprung mass displacement array
    
    % Initialize variables
    x_sprung(1) = x_sprung_0;
    x_dot_sprung = x_dot_sprung_0;
    x_unsprung(1) = x_unsprung_0;
    x_dot_unsprung = x_dot_unsprung_0;
    
    % Perform simulation
    for i = 2:length(t)
        % Calculate forces
        f_spring = k_spring * (x_unsprung(i-1) - x_sprung(i-1));
        f_damper = c_damper * (x_dot_unsprung - x_dot_sprung);

        % Calculate accelerations
        x_double_dot_sprung = (1/m_sprung) * (f_spring - f_damper);
        x_double_dot_unsprung = (1/m_unsprung) * (-f_spring + f_damper);
        
        % Integrate using Euler method
        x_dot_sprung = x_dot_sprung + x_double_dot_sprung * dt;
        x_sprung(i) = x_sprung(i-1) + x_dot_sprung * dt;
        x_dot_unsprung = x_dot_unsprung + x_double_dot_unsprung * dt;
        x_unsprung(i) = x_unsprung(i-1) + x_dot_unsprung * dt;
    end
    
    % Plot results
    figure;
    subplot(2, 1, 1);
    plot(t, x_sprung);
    title('Sprung Mass Displacement');
    xlabel('Time (s)');
    ylabel('Displacement (m)');
    subplot(2, 1, 2);
    plot(t, x_unsprung);
    title('Unsprung Mass Displacement');
    xlabel('Time (s)');
    ylabel('Displacement (m)');
end
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