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Rotational inertia frequency domain detection method based on floating torsion pendulum table

A technology of moment of inertia and detection method, which is applied in the detection of moment of inertia and the field of frequency domain detection of moment of inertia, and can solve problems such as affecting the measurement accuracy of moment of inertia and the instability of torsional motion cycle

Active Publication Date: 2014-11-19
严格集团股份有限公司
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Problems solved by technology

[0008] The purpose of the present invention is to propose a frequency-domain detection method based on the moment of inertia of the air-floating torsion table, to solve the problem that the time-domain measurement method for the moment of inertia of the existing torsion method is affected by the accuracy of periodic measurement. When the torsion movement is damped by the air and other external disturbances, the period of the torsional motion is no longer stable, which ultimately affects the measurement accuracy of the moment of inertia

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  • Rotational inertia frequency domain detection method based on floating torsion pendulum table
  • Rotational inertia frequency domain detection method based on floating torsion pendulum table
  • Rotational inertia frequency domain detection method based on floating torsion pendulum table

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specific Embodiment approach 1

[0046] Specific Embodiment 1: A frequency-domain detection method based on the moment of inertia of an air-bearing torsion table described in this embodiment is characterized in that the method includes the following steps:

[0047] Step 1. According to Hooke's law, the restoring moment M generated by the torsion bar is twisted n It is proportional to the angle θ turned, that is

[0048] m n =-Kθ (1)

[0049] In the formula, K is the stiffness coefficient of the torsion bar. When the air resistance and the damping torque generated by the mechanical friction of the bearing are considered, the resultant moment of the air-floating torsion table is expressed as the sum of the restoring moment of the torsion bar and the damping moment, that is,

[0050] M=M n +M z (2)

[0051] In the formula, M n is the restoring moment under the action of the torsion bar, M z is the damping torque generated by the damping effect. Under the condition of the linear model of damping, t...

specific Embodiment approach 2

[0061] Specific embodiment two: the difference between this embodiment and specific embodiment one is: the damping coefficient c described in step one uses damping ratio ζ, undamped natural frequency ω n and moment of inertia I three parameters to represent, namely c=2ζω n I, ω is the instantaneous angular velocity of the swing. Other steps are the same as in the first embodiment.

specific Embodiment approach 3

[0062] Specific implementation mode three: the difference between this implementation mode and specific implementation mode one or two is: the calculation process of the torsional motion differential equation described in step two is as follows: according to the law of rotation,

[0063] β = M I - - - ( 6 )

[0064] β is the angular acceleration, and I is the moment of inertia of the measured product revolving around the uranium, so that Then there is the differential equation of motion:

[0065] I d 2 θ dt 2 + c dθ dt + kθ = 0 - - - ( 7 ...

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Abstract

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.

Description

technical field [0001] The invention relates to a detection method of a moment of inertia, in particular to a frequency-domain detection method of a moment of inertia based on an air bearing torsion table, and belongs to the technical field of detection of a moment of inertia. Background technique [0002] Moment of inertia is an inherent property of an object. As one of the quality characteristic parameters, it is one of the important parameters in the control of the motion attitude of the object. There are many methods to measure the moment of inertia. Among them, the torsion bar torsion method is simple in design, easy to operate, suitable for large-scale measured objects, does not need to measure the mass of the measured object, and has high measurement accuracy. The current torsion pendulum method measures the moment of inertia of the product in the time domain. By measuring the period of the torsion movement of the product, the moment of inertia of the product under te...

Claims

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Application Information

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IPC IPC(8): G01M1/10
Inventor 张晓琳张烈山唐文彦李加福
Owner 严格集团股份有限公司
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