By Christian Lalanne
This quantity considers the surprise reaction spectrum, its numerous definitions, its houses and the assumptions concerned about its calculation. In constructing the sensible software of those thoughts, the surprise shapes most of the time used with attempt amenities are awarded, including their features and symptoms of the way to set up attempt configurations similar with these of the true, measured surroundings. There follows an indication of the way to satisfy those necessities utilizing common laboratory gear - surprise machines, electrodynamic exciters pushed by way of a time sign or a reaction spectrum - with dialogue of the constraints, benefits and drawbacks of every procedure.
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Additional resources for Mechanical Vibrations and Shocks: Mechanical Shock v. 2 (Mechanical vibration & shock)
12. 13. 14. 6. 15. 16. 7. 17. 18. 4. Importance of the Fourier transform The Fourier spectrum contains all the information present in the original signal, in contrast, we will see, to the shock response spectrum (SRS). It is shown that the Fourier spectrum R(Q) of the response at a point in a structure is the product of the Fourier spectrum X(Q) of the input shock and the transfer function H(Q) of the structure: R(Q) = H(Q) X(Q) [1-40] The Fourier spectrum can thus be used to study the transmission of a shock through a structure, the movement resulting at a certain point being then described by its Fourier spectrum.
The distinction between positive and negative spectra must be made each time the system, if disymmetrical, behaves differently, for example under different tension and compression. It is, however, useful to know these various definitions so as to be able to correctly interpret the curves published. 4. Standardized response spectra For a given shock, the spectra plotted for various values of the duration and the amplitude are homothetical. It is thus interesting, for simple shocks to have a standardized or reduced spectrum plotted in dimensionless co-ordinates, while plotting on the abscissa the product f0 t (instead of f0) or co0 t and on the ordinate the spectrum/shock pulse amplitude ratio co0 zm /xm , which, in practice, amounts to tracing the spectrum of a shock of duration equal to 1 s and amplitude 1 m/s2.
It cannot be smaller than T (if not shock shape would be modified). e. to If the calculation data (n FT and f max ) lead to a too large value of Af , it will be necessary to modify one of these two parameters to satisfy to the above condition. If it is necessary that the duration T is larger than T, zeros must be added to the signal to analyse between T and T, with the temporal step At. 1. 1. Computing process of a Fourier transform starting from a non-digitized signal Data: - Characteristics of the signal to be analysed (shape, amplitude, duration) or one measured signal not yet digitized.
Mechanical Vibrations and Shocks: Mechanical Shock v. 2 (Mechanical vibration & shock) by Christian Lalanne