Abstract
Based on the differential geometry, the expressions of centrodes and axodes as well as their invariants are derived. And then, the kinematic meanings of them are revealed. Meanwhile, the properties of a point trajectory in planar, spherical and spatial motion or a line trajectory in spatial motion are discussed. A main clue for the unified curvature theory in kinematic geometry of mechanism is set up in the form and content from plane to space motion.
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Project supported by the National Natural Science Foundation of China (Grant No. 59305033).
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Wang, D., Liu, J. & Xiao, D. A unified curvature theory in kinematic geometry of mechanism. Sci. China Ser. E-Technol. Sci. 41, 196–202 (1998). https://doi.org/10.1007/BF02919683
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DOI: https://doi.org/10.1007/BF02919683