: They are far more efficient than simulating multiple time histories, especially for complex Finite Element Models (FEM) with millions of nodes.

Spectral analysis can reduce computational time by over 80% compared to traditional time-domain methods.

For a deeper dive into the mathematical implementation, you can explore comprehensive overviews on ScienceDirect or technical reviews in the Mechanical Systems and Signal Processing Harvard University for a specific model, like Dirlik's approximation , or focus on a specific industry application?

B. The Transfer Function (Frequency Response Function - FRF)

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