A New Method to Solving the Internal Mass of Rigid Body Based on the Principle of Inertia Parameters

Abstract:

On the basis of Coordinate transformation analysis of the inertia parameters in three-dimensional space, according to the characteristic that the coordinate direction is existed and unique which the product of inertia is 0 when rotating the coordinate system, a new method to judge and calculate the particle information by searching for the intersection of the two lines that lead from two different coordinate origin is proposed. The processes and procedures to calculate the internal mass of rigid body are deduced theoretically. A special numerical example is given to verify the correctness of the theory. The error factors are analyzed qualitatively as well.

• Periodical: Applied Mechanics and Materials (Volume 344)
• Pages: 37-40
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.344.37
• Online since: July 2013
• Authors: Ning Sun, Huan Yu Li, Jing Jing Gong
• Keywords: Coordinate Transformation Method, Intersection of the Lines, Moment of Inertia, Product of Inertia

References

[1] Jin Wang. Study on the Method of Measuring Inertial Parameters Based on the Moment of Inertia [D]. Guilin: Guilin University of Electronic Technology, (2012).

[2] Zhiming Yu. Discussion of Product of inertia's general form of translation and rotation transformation [J]. College Physics, 2008, （9）: 11-13.

[3] Zhiming Yu. A Discussion on the General Shifting Transformation and General Rotating Transformation of Moment of Inertia of Axis of Coordinate System[J]. Journal of Luoyang Normal University, 2007, (5): 50-52.

[4] Xuetao Bi. Advanced Dynamics[M]. Tianjin: Tianjin University Press, 1994: 224-225.

[5] Xuehua Zhou. Nonlinear Coordinate Transformation of Cartesian Coordinate System in Space[J]. Beijing Surveying and Mapping, 2005, 1.