The Use of Projective Geometry on the Mechanism System Motion and Stability of the Special Problems in Judgement

Abstract:

In a principle of kinematics, when a rigid body is motion in a plane, and the fixed plane only the presence of a speed zero point -- the instantaneous center of velocity. In the mechanism of two rigid bodies be connected by two parallel connection links, why can the continuous relative translation Where is the instantaneous center of velocity ... ... The traditional Euclidean geometry theory can’t explain these phenomenon, must use projective geometry theory to solve. The actual motion of the mechanism is disproof in Euclidean geometry principle limitation. This paper introduces the required in projective geometry basic proof of principle, and applied to a specific problem.

• Periodical: Advanced Materials Research (Volumes 482-484)
• Pages: 1041-1044
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.482-484.1041
• Online since: February 2012
• Authors: Xiao Zhuang Song, Ming Liang Lu, Tao Qin
• Keywords: Euclidean Geometry, Instantaneous Center of Velocity, Motion Mechanism, Projective Geometry

References

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