Abstract
The paper studies the infinitesimal Burmester lines of the moving body at any instant, according to the invariance of the constraint ruled surface of the binary link C-C. A line-trajectory is expressed by the invariants of axodes of a rigid body in spatial motion. The Euler-Savary analogue of a line-trajectory in spatial movement is described in the Frenet frame of axodes. Both the stationary line congruence of constant axis curvature and the Ball line are revealed. The degenerated cases of the infinitesimal Burmester lines, the characteristic lines L HC and L RC, are discussed according to the H-C curvature and R-C curvature. An numerical example of a spatial linkage RCCC is given to show some of above results.
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Acknowledgments
The authors want to acknowledge the support from the National Natural Science Foundation of China (Grant No. 51275067).
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Wang, D., Wang, W., Dong, H., Lin, S. (2015). The Infinitesimal Burmester Lines in Spatial Movement. In: Corves, B., Lovasz, EC., Hüsing, M. (eds) Mechanisms, Transmissions and Applications. Mechanisms and Machine Science, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-319-17067-1_1
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DOI: https://doi.org/10.1007/978-3-319-17067-1_1
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