Appendix 1: Mathematical model
Experimental modal analysis

Archive REF: R6180 V1

Appendix 1: Mathematical model
Experimental modal analysis

Author : Jean PIRANDA

Publication date: December 10, 2001 | Lire en français

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6. Appendix 1: Mathematical model

6.1 Orthonormality properties of the eigen solutions of the conservative system

Consider the eigenvalue problem of the conservative system: [K - ω ² M] y = 0.

For two particular eigenvalues λ _σ and λ _ν distinct $(λ_{ν} = ω_{ν}^{2})$ , we have :

[K - ω_{σ}^{2} M] y_{σ} = 0

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References

(1) - EWINS (D.) - Modal testing : theory and practice - . Éditions Wiley and Sons, 1984.
(2) - SWEVERS (J.), HEYLEN (W.) - Time domain identification methods for modal analysis (Stratégies d'identification des structures par l'essai de vibration) - ....

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