How to get mobility from velocity and force
Learn how to calculate mobility from velocity and force data using MATLAB. This resource provides practical solutions and insights. Get the insights now!
Learn how to calculate mobility from velocity and force data using MATLAB. This resource provides practical solutions and insights. Get the insights now!
function [X, freqs] = easy_fft(x, fs) L = length(x); NFFT = 2^nextpow2(length(x)); X = fft(x, NFFT); X = 2/L*X(1:NFFT/2 + 1); % 2/L is the required scaling freqs = fs/2*linspace(0,1,NFFT/2+1); % Frequency vector end
Then do
fs = 1/y(2, 1); % Convert time step to sample rate [A, freq] = easy_fft(y(:, 2), fs); % Acceleration [F, ~] = easy_fft(y(:, 3), fs); % Force
H = A./F;
omega = 2*pi*freq; % Convert to rad/s mobility = H./(1i*omega); % Acceleration = i*omega*Velocity for a periodic steady-state response
To replicate the plot you showed, take the absolute value of mobility and put it on a log scale vs. frequency.
semilogy(freq, abs(mobility));
Apologies if there are any bugs in what I wrote, I didn't test it on anything. Hopefully you get the idea.
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