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为测量微机械陀螺的非线性特性,研究了一种从共振衰减响应信号中提取骨架曲线的方法。采用Hilbert变换处理共振衰减信号,对所得到的瞬时幅值及瞬时频率曲线进行奇异谱分析,滤除信号中噪声引起的非理想波动,从而得到清晰易辨的骨架曲线,解决了基于Hilbert变换的非线性辨识方法对噪声敏感的问题。针对Duffing系统的数值仿真结果表明,这种方法比FREEVIB方法具有更好的抗噪声性能。对一种环型振动微陀螺进行了实验测试,所得到的骨架曲线、阻尼曲线以及频率响应曲线与传统扫频方式的测量结果有良好的一致性。作为一种通用测试手段,这种方法同样适用于其他微机械谐振元件动力学特性的实验测试。
In order to measure the nonlinearity of the micromechanical gyroscope, a method of extracting the skeleton curve from the resonant attenuation response signal is studied. The Hilbert transform is used to process the resonance attenuation signal, and the obtained instantaneous amplitude and instantaneous frequency curve are analyzed singularly, and the non-ideal fluctuations caused by noise in the signal are filtered out to obtain a clear and easily identifiable skeleton curve. The Hilbert transform Noise Sensitive Problems of Nonlinear Identification Methods. The numerical simulation results for the Duffing system show that this method has better anti-noise performance than the FREEVIB method. A kind of ring vibration micro-gyroscope was tested experimentally, and the obtained skeleton curve, damping curve and frequency response curve were in good agreement with those of the traditional frequency sweep method. As a universal test method, this method is also suitable for the experimental testing of the dynamics of other micromechanical resonant elements.