The invention provides a rotational
inertia frequency domain detection method based on a floating torsion
pendulum table, belonging to the technical field of rotational
inertia detection. According to the method, a problem that an existing
time domain measurement method of torsion method rotational
inertia is influenced by a cycle
measurement precision and finally the
measurement precision of the rotational inertia is influenced is solved. The technical points of the method are that in the condition of a damping
linear model, a
pendulum motion
differential equation can be written according to the law of rotation, the equation is solved to obtain the function of
pendulum motion angle about time, an expression is subjected to approximate
processing, a
product term is subjected to power
series expansion and a higher-order term is neglected, then the expression is subjected to continuous
Fourier transform to obtain an analysis formula, finally the magnitude of the undamped natural vibration frequency of a detected product can be calculated according to the peak frequency and
damping ratio, and the magnitude of the product rotational inertia is obtained. The method is mainly applied to the rotational inertia measurement of an air vehicle such as a
missile, an interceptor and an unmanned aerial vehicle and can be applied to the rotational inertia measurement of other large equipment.