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maximum load amplitude from the spectrum curve

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Mohammad Haghnejat
Mohammad Haghnejat am 13 Okt. 2022
Beantwortet: Gokul Nath S J am 26 Mai 2023
It would be helpful if you could tell me how to calculate the maximum load amplitude from the spectrum curve, so that I can obtain the same result when I check with the time domain function.

Antworten (1)

Gokul Nath S J
Gokul Nath S J am 26 Mai 2023
Hi Mohammad,
To calculate the maximum load amplitude from the spectrum curve and obtain the same result as in the time domain function in MATLAB, you can follow these steps:
Obtain the spectrum curve of the signal using the Fast Fourier Transform (FFT) in MATLAB. Let's assume you have a signal x with a sampling frequency Fs:
X = fft(x);
N = length(x); % Length of the signal
f = (0:N-1)*(Fs/N); % Frequency axis
P = abs(X/N).^2; % Power spectrum
Find the index k corresponding to the maximum value of the power spectrum. Calculate the frequency f_max corresponding to the maximum power and convert the frequency f_max to angular frequency w_max. Calculate the period T_max corresponding to the angular frequency w_max. Finally, find the maximum load amplitude A_max by finding the peak value of the time domain signal x:
[~, index] = max(P);
f_max = f(index);
w_max = 2*pi*f_max;
T_max = 2*pi / w_max;
A_max = max(abs(x));
The A_max value obtained using the maximum load amplitude from the spectrum curve should be equivalent to the peak value in the time domain signal.
with regards
Gokul Nath S J

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