Abstract
The current work presents authors’ researches over the years oriented in the elaboration of geometric and analytical processes, dedicated to the synthesis and design of special spatial gear mechanisms. These mechanisms are applicable for quantitative and qualitative motions’ transformation of one of the movable links depending on the implemented technological requirements. Based on the performed vector analysis of spatial motions transformation of type rotation into translation, a kinematic theory of this transformation is constructed. Using this kinematic theory the basic geometric-kinematic characteristics of spatial rack mechanisms, applicable to their synthesis are introduced. This study is dedicated to the synthesis of spatial rack mechanisms when the rotating link has linear (conic and cylindrical) helicoids. Based on a worked-out mathematical model, a surface of action/mesh region is synthesized respectively, of a transmission which geometric elements of the joints firmly connected with the rotating link are linear helicoids (conic and cylindrical ones). The surface of action/region of mesh are obtained analytically and are studied, and visualized for conic and cylindrical spatial rack drives.
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