Abstract

The current logarithmic decrement method extracts the damping ratio from a single-frequency signal. However, the envelope logarithmic decrement method(ELDM) can extract the damping ratio from the beat wave containing two adjacent frequencies. In this study, the error factors of the ELDM were analyzed. For the error analysis, various beat waveforms were generated using the first natural frequency and damping ratio of the King Seongdeok Divine Bell. The generated beat waveforms were used to analyze the error of the damping ratio in terms of the sampling frequency, beat clarity, and beat period. We developed a more precise damping ratio extraction technique in applying the ELDM using simulations.

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