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Response Dynamics > Theory

Modal response calculation for frequency analysis

For frequency response analysis, the modal displacements, velocities, and accelerations:

are calculated by

where

= i-th mode
= i-th modal force
= loading frequency
= i-th modal mass
= i-th modal damping
= i-th modal stiffness
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Fast Fourier Transformation (FFT)

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Mode displacement method

Modal response calculation for transient analysis

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Theory of Fast RMS modal response computing

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Modal response calculation for frequency analysis, Simcenter 3D 2021.1 Series

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id631206 · retrieved 2026-07-17