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Study on Detection Method of Moment of Inertia with Torsion Pendulum Method in Frequency Domain Based on FFT

The article presents the detection method of moment of inertia in frequency domain based on the torsion pendulum method. It analyzes the frequency spectrum distribution of pendulum motion under the condition of linear damping, establishes the relationship between peak frequency and moment of inertia; it proposes the detection method of moment of inertia based on FFT. The frequency spectrum analysis of multiple sets of simulation sequence shows that it has mapping relationship among un-damped natural vibration frequency, frequency bandwidth and damping ratio. The experiment results verify the correctness of detection method of moment of inertia based on FFT.