Abstract
We propose a 2D representation in the frequency-decay factor plane of an arbitrary real-world vibration signal. The signal is expressed as the sum of a decayed-attenuation sine term modulated by an amplitude function and a noise residue. We extend the combined approach of Capon estimation and amplitude and phase estimation (CAPES) to damped real vibration signals (DR-CAPES). In the proposed DR-CAPES method, the high-resolution amplitude and phase are estimated simultaneously for both angular frequency and decay factor grids. The performance of the proposed approach is tested numerically with noisy vibration data. Results show that the DR-CAPES method has an excellent frequency resolution, which helps to overcome difficulties in spectrum estimation when vibration modes are very close, and a small bias, which makes it suitable for obtaining accurate amplitude spectrums. The results also indicate that the proposed method can accurately estimate the amplitude spectrum with the use of averaging and denoising processes.
Highlights
The normal functioning of engineering structures in dynamic environments is often affected by large and frequent vibrations
These assessments should be conducted in the frequency domain, and structural dynamics experiments have focused on spectral analysis and identification of frequency-domain dynamic characteristics, the structural vibration signal
We propose a nonparametric highprecision spectral estimation algorithm that determines the vibration signal characteristics of engineering structures in order to analyze data from structural dynamics experiments
Summary
The normal functioning of engineering structures in dynamic environments is often affected by large and frequent vibrations. Shock and Vibration methods with high resolution capability, including the Capon algorithm [7] and the recently proposed amplitude and phase estimation spectral (APES) algorithm [8, 9], as well as variants and hybrids of these techniques. These methods have been used successfully for almost twenty years. The researchers focused on the applications and fast computation algorithms of APES and CAPON method [17, 18] When their algorithms are used to estimate the spectrum of the structural vibration directly the accuracy will be worse due to the imaginary part of the signals. We verify the effectiveness of the proposed algorithm
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