Abstract—The process of creating spatial mechanical transmissions, in which one of the movable links is equipped with helical surfaces, is accompanied by a permanent desire to choose the optimal geometry of the helicoid from a technological (manufacturing) and operational viewpoint. In other words, approaches are searched to reduce the cost of tooth surfaces’ generation on one hand and on the other hand to increase the loading capacity, durability, and efficiency of the transmissions. An object of the study is a three-link spatial rack mechanism realizing transformation of type rotation into translation by using conjugated high kinematic joints. Based on the worked-out mathematical model, it is synthesized a surface of action, mesh region respectively, of a transmission which geometric elements of the joints, firmly connected with the rotating link, are curvilinear helicoids.

Index Terms—rack drives, mathematical modeling, synthesis, cylindrical curvilinear helicoid, action surface

Cite: Emilia V. Abadjieva, "On the Synthesis of Spatial Rack Drives Having Rotating Cylindrical Curvilinear Helicoids," International Journal of Mechanical Engineering and Robotics Research, Vol. 11, No. 8, pp. 592-599, August 2022. DOI: 10.18178/ijmerr.11.8.592-599

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