Unlock instant, AI-driven research and patent intelligence for your innovation.

Measuring method and device for moment of inertia and product of inertia

A technology of moment of inertia and product of inertia, which is applied in the field of measuring moment of inertia and product of inertia of rigid bodies, and can solve problems such as inability to measure inertia product, complex structure, and difficulty in determining the position of the center of mass

Inactive Publication Date: 2005-11-23
NORTHWESTERN POLYTECHNICAL UNIV
View PDF0 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] In order to solve the problems in the prior art that the structure is complex, the position of the center of mass is difficult to determine and the product of inertia cannot be measured, the present invention proposes a method for measuring the moment of inertia and product of inertia of a rigid body

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Measuring method and device for moment of inertia and product of inertia
  • Measuring method and device for moment of inertia and product of inertia
  • Measuring method and device for moment of inertia and product of inertia

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0015] In this embodiment, the object to be measured is placed on a frame that can swing around a fixed axis to form a compound pendulum. By adjusting the relative distance and relative angle between the rigid body and the rotating shaft, the quality characteristics of the rigid body (including the position of the center of mass, the principal axis of inertia and the main moment of inertia, etc.) are measured. In the implementation, the position of the center of mass is changed by changing the position of the compound pendulum axis (pendulum length), two measurements are performed to obtain two sets of data, and two unknowns are solved through these two sets of data—the position of the center of mass of the rigid body and the moment of inertia. The measurement of the main moment of inertia and the main inertial axis is realized by changing the placement angle of the rigid body. The moment of inertia of the rigid body for all axes passing through a certain point constitutes an ...

Embodiment 2

[0026] In this embodiment, the object to be measured is placed on a frame that can swing around a fixed axis to form a compound pendulum. By adjusting the relative distance and relative angle between the rigid body and the rotating shaft, the quality characteristics of the rigid body (including the position of the center of mass, the principal axis of inertia and the main moment of inertia, etc.) are measured. In the implementation, the position of the center of mass is changed by changing the position of the compound pendulum axis (pendulum length), two measurements are performed to obtain two sets of data, and two unknowns are solved through these two sets of data—the position of the center of mass of the rigid body and the moment of inertia. The measurement of the main moment of inertia and the main inertial axis is realized by changing the placement angle of the rigid body. The moment of inertia of the rigid body for all axes passing through a certain point constitutes an ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention is a method and device for measuring the moment of inertia and product of inertia of rigid body. In order to overcome the deficiency of current technology that the structure is complex, the centroidal is difficult to be determined and can't measure the product of inertia. The invention places the measured object on a tray which can carry on oscillating transverse motion around a beam, through changing the distance and the relative angle between the tray and the beam, measures the correspondent period, works out the centroidal position and moment of inertia of the rigid body, fits out the inertia elliptical formula, acquires the primary moment of inertia and the product of inertia. The method can measure the centroidal position, inertia moment, the primary moment of inertia and the primary inertia spindle of the rigid body, thus works out the moment of inertia and the product of inertia of any space spindle. The method is simple, easy to be realized.

Description

(1) Technical field [0001] The invention relates to a method and a measuring device for measuring the moment of inertia and product of inertia of a rigid body. (2) Background technology [0002] In the prior art, the usual methods for measuring the moment of inertia are: 1. Apply a certain torque to the rigid body, then measure its angular acceleration, and calculate the moment of inertia through the momentum distance theorem; Calculate the moment of inertia. These methods are complicated to implement, have large errors, and can only measure the moment of inertia of a rigid body around a specific axis, but cannot measure the product of inertia. [0003] In practice, it is often necessary to measure the moment of inertia of a rigid body relative to the axis passing through the center of mass. With the above method, the position of the center of mass must be determined first, and then the rigid body is rotated or torsional around the axis of the center of mass. At this time, ...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
Patent Type & Authority Patents(China)
IPC IPC(8): G01M1/10
Inventor 袁昌盛宋笔锋李占科
Owner NORTHWESTERN POLYTECHNICAL UNIV