PSI - Issue 24

9

Vincenzo D’Addio et al. / Procedia Structural Integrity 24 (2019) 510–525 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

518

ω̅ = 3.2

ω̅ = 2.7

ω̅ = 4.4

ω̅ = 15.8 ω̅ = 17.0

ω̅ = 4.8

Fig. 6. Flexible shaft first mode shapes at the operating rotational speed with eigenvalues adimensionalized with respect to the operating angular speed (see nomenclature).

Fig. 7. Dimensionless Campbell diagram (see nomenclature).

From the modal analysis nothing can be said in terms of response peaks when a critical speed is reached; in order to quantitatively evaluate the amplification factor, a harmonic response analysis must be carried out. From a mathematical point of view the equations to be solved are repreented by system (5) where the harmonic excitation vector has the following form:

Made with FlippingBook - Online catalogs