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Computation of frequency sensitivities

For each design variable change, the frequency sensitivities, Δλi, are calculated differently depending on the model reduction method that is used NOTE.

Physical (Guyan) reduction

For each design variable, the sensitivity of the ith eigenvalue (frequency) is:

Modal reduction

For each design variable, the sensitivity of the ith eigenvalue (frequency) is:

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Model reduction in a SOL 200 Model Update solution

Reduced model sensitivities in SOL 200 Model Update solution

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Computation of frequency sensitivities, Simcenter 3D 2021.1 Series

© 2020 Siemens

Moore, G.J., “MSC.NASTRAN Design Sensitivity and Optimization”, Version 68.

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id1009231 · retrieved 2026-07-17