Hi Ankit,
As per my understanding, to generate velocity time histories compatible with a given power spectrum "Fourier Amplitude Spectrum Method" can be applied which involves the following steps:
- Define the desired power spectral density (PSD) function or curve. Convert the PSD to a one-sided amplitude spectrum by taking the square root of the PSD values.
- Generate a random phase spectrum with random phase angles between 0 and 2π for each frequency component.
- Combine the amplitude and phase spectra to obtain the complex spectrum.
- Perform an inverse Fourier transform on the complex spectrum to obtain the time-domain signal.
- Apply appropriate scaling factors, to match desired units and amplitude.
For code reference please access the below File Exchange Link:
Hope this helps!
