Application Cases

Experiment Name: Implementation of a Vibration Performance Parameter Testing System for Hemispherical Resonators

Test Purpose: Based on the vibration performance parameter testing method using envelope analysis, a testing system for the vibration performance parameters of hemispherical resonators was designed and practically constructed. The precision of the proposed testing scheme was validated using the constructed system. The experimental results show that the realized vibration performance parameter testing technology for resonators is superior to traditional methods in terms of testing accuracy, efficiency, and reliability.

Testing Equipment: ATA-2161 high-voltage amplifier, data processing computer, laser vibrometer, waveform generator, vacuum system, vibration isolation platform, and digital oscilloscope, etc.

Experiment Process:

Figure 1: Vibration Performance Parameter Testing System for Hemispherical Resonators

Figure 2: Block Diagram of the Vibration Performance Parameter Testing System for Hemispherical Resonators

Figure 1(a) shows the main components of the system, including the data processing computer, laser vibrometer, waveform generator, high-voltage amplifier, vacuum system, vibration isolation platform, and digital oscilloscope. Figure 1(b) shows the uncoated resonator in the vacuum chamber during testing. Figure 2 shows the block diagram of the vibration performance parameter testing system for hemispherical resonators.

The working process of the vibration performance parameter testing system for hemispherical resonators is as follows:

(1) A sine signal s(t) is generated by the waveform generator, with a frequency of 0.5 times the intrinsic vibration frequency of the resonator;

(2) The sine signal s(t) is amplified by the high-voltage amplifier into a high-voltage sine signal hs(t) and transmitted to the interdigital electrodes;

(3) The interdigital electrodes excite the vibration of the hemispherical resonator, while the laser vibrometer measures the vibration velocity signal r(t) along the edge of the outer spherical lip of the resonator;

(4) The digital oscilloscope simultaneously observes the sine signal s(t) and the velocity signal r(t), and adjusts the frequency of the sine signal s(t) to achieve a predetermined amplitude of the velocity signal r(t);

(5) After the amplitude of the velocity signal r(t) reaches the predetermined value, the high-voltage amplifier is turned off, allowing the hemispherical resonator to enter a free vibration state, and the data processing computer collects the velocity signal r(t);

(6) The vibration performance parameters, such as the quality factor, frequency splitting, and rigid axis angle of the tested resonator, are estimated using a vibration performance parameter estimation technique based on nonlinear optimization.

Figure 3 shows the vibration mode excitation signal and the vibration velocity detection signal of the hemispherical resonator during the testing process.

Figure 3: Vibration Mode Excitation Signal and Vibration Velocity Detection Signal of the Hemispherical Resonator

Experimental Results:

Systematic experiments were conducted on multiple hemispherical resonator samples using the realized vibration performance parameter testing system for hemispherical resonators, validating the accuracy of the applied theory in this chapter and evaluating the performance of the proposed vibration performance parameter estimation scheme. The experimental results show that the proposed testing scheme can simultaneously test parameters such as the quality factor, frequency splitting, and rigid axis angle using the same set of data. The testing range spans several orders of magnitude. The scheme fundamentally eliminates the influence of the resonator's intrinsic vibration frequency drift on the testing results, reduces the need for stable temperature control of the testing environment, and outperforms traditional testing methods in terms of measurement accuracy, stability of measurement results, and testing efficiency. The vibration performance parameter estimation method used in the testing is not sensitive to the initial estimation values and can be used to achieve automated testing of resonators, meeting the batch testing requirements for the large-scale application of hemispherical resonator gyroscopes.

High-Voltage Amplifier Recommendation: ATA-2161

Figure: Specification Parameters of the ATA-2161 High-Voltage Amplifier

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