Most general waveforms used for driving a vibrator include stationary waves, periodic waves, and irregular waves. It is important to use each waveform, according to the characteristics and case.
Stationary wave
A stationary wave refers to a regular excitation by a sine wave. However, actually, a stationary wave generates low-speed sine wave excitation by sweeping through the slow change of frequency or discontinuous sine wave excitation.
(Advantages)
• The maximum possible energy can be applied to the object. (A small vibrator is adequate.)
• The amplitude, phase, duration of excitation force, and frequency variability rate can be accurately adjusted.
• The peak factor is 1.4, which is the lowest among all the waveforms.
• The S/N ratio is by far the largest.
• Nonlinearity can be characterized. In sine wave excitation, the impact of nonlinearity is highest.
(Disadvantages)
• Since the impact of nonlinearity is most prominent, the impact may result in distortion of the frequency response function or discontinuity if such impact appears.
• It takes too long.
Periodic wave
This signal mode is most compatible with FFT. This mode is most generally used since a signal generator can be installed in the FFT analyzer. Periodic waves include swept sine (chirp), periodic random, and pseudo random.
(Common advantages)
• No leakage error occurs at frequency analysis. The common advantages of these periodic waves are uniform and even distribution of frequency spectrum amplitudes, low peak factors, and strong noise-resistant response. The power spectrum densities of imported data at a time completely match. Since the power spectrum density is constant, less noise elimination averaging is required.
(Common disadvantages)
• Harmonic wave distortion that is generated by non-linearity such as a structural looseness and amplitude dependency cannot be removed by averaging processing since the same item appears repeatedly cyclically. A satisfactory result cannot be obtained if an object of large non-linearity is excited with a periodic wave.
Pseudo Random
Although this signal appears to be a complete random wave, the wave is a complete definite periodic wave, which is formed by overlapping of sine waves of equal amplitude at the full sampling frequency point. This is a pseudo random wave. The impact of external disturbances can be eliminated by averaging.
(Advantages)
• Amplitudes and frequency bands of excitation signals can be given freely and accurately.
• Amplitudes of excitation signals are constant and do not lean toward a specific frequency.
• Since all the frequencies are excited simultaneously and evenly, the response peak factor is lower than that of swept sine.
• Response leakage errors and resolution errors can be eliminated.
• Impact of external disturbance can be eliminated by averaging.
(Disadvantage)
• Easily influenced by non-linearity. The frequency is susceptible to the impact of looseness and non-linearity and the impact cannot be eliminated by averaging since they appear cyclically.
• Since all the frequency bands are excited, excitation energy per frequency is smaller than that of a stationary wave.
Features of excitation signals |
Signal type |
Pure random |
Pseudo random |
Synchronous random |
Burst random |
Swept sine |
Impulse |
---|---|---|---|---|---|---|
Noise ratio to signal |
Good |
Good |
Good |
Acceptable |
Excellent |
Inferior |
Control of excitation force |
Possible |
Possible |
Possible |
Possible |
Easily controlled |
Difficult |
Control of excitation spectrum |
Not possible |
Possible | Possible | Possible | Possible | Not possible |
Time required for measurement |
Normal | Normal | Slightly long | Slightly long | Slightly long | Extremely short |
Leakage error | Yes | No | No | No | No | Case by case |
Elimination of impact of nonlinear component by averaging | Possible | Not possible | Possible | Possible | Not possible | Possible to some extent |
Elimination of impact of external disturbance by averaging | Possible | Possible | Possible | Possible | Possible | Possible |
Revised:2004.04.19