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Mechanics-Mathematical Model of Conjugation of a Part of a Trajectory with Conditions of Continuity, Touch and Smoothness

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Computational and Information Technologies in Science, Engineering and Education (CITech 2018)

Abstract

Development process of combined trajectories, in places of joining conic arcs, undesirable intermittent effects inevitably arise due to the second-order non-smoothness. A second order tangency is considered taking into account the curvature and the equality condition of the arcs curvature radii to be joined at the conjugation points. A kinematic method for determining joints on the basis of a rocker mechanism is given, which ensures smooth joints.

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Correspondence to B. O. Bostanov .

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Bostanov, B.O., Temirbekov, E.S., Dudkin, M.V., Kim, A.I. (2019). Mechanics-Mathematical Model of Conjugation of a Part of a Trajectory with Conditions of Continuity, Touch and Smoothness. In: Shokin, Y., Shaimardanov, Z. (eds) Computational and Information Technologies in Science, Engineering and Education. CITech 2018. Communications in Computer and Information Science, vol 998. Springer, Cham. https://doi.org/10.1007/978-3-030-12203-4_8

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  • DOI: https://doi.org/10.1007/978-3-030-12203-4_8

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