Apparatus for and method of random vibration control

Details Apparatus for and method of random vibration control Apparatus for and method of random vibration control

1984-01-16

1985-08-27

Birmiel, Howard A.

Measuring and testing

Vibration

Vibrator

73664, G01N 2900

Patent

active

045370761

ABSTRACT:
In order to ensure that the vibrations of a system under test are in accordance with a reference spectral density Z(w), the system is driven by a signal x.sub.n (t) provided by an inverse discrete Fourier transform (IDFT) with random phases introduced by a function R.sub.n (w) and the response spectral density Y.sub.n (w) provided by a DFT is brought into agreement with Z(w) by a feedback loop. Moreover, in order to ensure that this is done in one iteration, X'.sub.n (w) is derived from x.sub.n (t) by a DFT and divided by Y.sub.n (w) and the quotient is multiplied with Z(w) to provide the new input x.sub.n (w) for the IDFT. The division cancels out the random factor which is present in both X'.sub.n (w) and Y.sub.n (w).The system thus equalizes both rapidly and stably.

REFERENCES:
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patent: 3710082 (1973-01-01), Sloane
patent: 3842661 (1974-10-01), Marshall et al.
patent: 3848115 (1974-11-01), Sloane et al.
patent: 3895343 (1975-07-01), Farr
M. A. Underwood, "Applications of Optimal Control Concepts to Digital Shaker Control Systems", Dec., 1981, p. 1, lines 17-35.
F. J. Harris, "On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform", Jan. 1978, p. 6, lines 9-12.
Hewlett Packard, "Vibration Control Theory", pp. 1-12.
F. J. Carvalhal, "Identification and Adaptive Control in Earthquake and Vibration Testing of Large Structures".

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