By J. M. Montalvão E Silva (auth.), Júlio M. M. Silva, Nuno M. M. Maia (eds.)
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Additional resources for Modal Analysis and Testing
If, instead of linear, we use a logarithmic amplitude scale, we obtain what is shown in Figure 15. Now, we can also see detail at the lower levels of the response and the FRF shows that, in those regions, there are some 'inverted' peaks, each of which occurs in between the resonance peaks. These are called antiresonances and they have an important feature which is a phase change just like the phase change associated with resonances. For an undamped system, the antiresonance corresponds to no motion at all at the coordinate where the response is being considered.
Thus, the circular loop displacement and scaling effect remain and are due to the contribution of the off- 32 resonant modes and to the magnitude of the modal constant, respectively. In addition to the previous effects, the phases of the modal constants produce rotations of the modal loops which are no longer in the 'upright' position, as illustrated in Figure 19. Real Rece t. •• •• • • • • • • • • • • • Figure 18 Nyquist plot of a point receptance for a proportionally damped 5 OOF system. Imag.
Jk of the matrix corresponds to an individual FRF describing the relation between the response at a particular coordinate j and a single force excitation applied at coordinate k. (00)] constitutes another form of modelling our system and is known as the Response Model as opposed to the Spatial Model and the Modal Model previously mentioned. Despite their apparent simplicity, equations (83) and (84) tend to be very inefficient for numerical applications. (00)] at any frequency of interest, this operation requires the inversion of an NxN matrix for the chosen frequency value.
Modal Analysis and Testing by J. M. Montalvão E Silva (auth.), Júlio M. M. Silva, Nuno M. M. Maia (eds.)