关键词: 静力平衡, 无损测量, 三维测量, 均质实体

Abstract:

A new method of 3D measurement for homogeneous entity was presented, which was based on the static balance principle; the measurement method realized the nondestructive and delaminated measurement indirectly through the force change in a lever balanced system. On the basis of the relation of the entity weight and the balances of the forces and the moments, after the entity moved the minute distance through the fulcrum according to a certain direction, the forces of the different position were measured in the lever balanced system. The every layer mass of the entity and the coordinate values of the corresponding layer were calculated. Combined the equations of every layer masses and the equations of the center of gravity, the 3D coordinate values of every minute entity cell in different layers can be reckoned by computer. By inputting the 3D coordinate values into the related CAD software system, a 3D model could be obtained. The measurement principles, the composition and the mathematical model establishment and its solution analysis were introduced in details to the 3D measurement method for homogeneous entity based on the static balance principles. 

Key words: static balance, non-destructive measurement, 3D measurement, homogeneous entity