Type Synthesis of Single-Loop Kinematic Chains

Abstract

This chapter deals with the type synthesis of (full-cycle mobility) multi-DOF single-loop KCs with a specified c-ζ-system. The rationale for addressing this problem is that it constitutes one of the important foundations for the type synthesis of PMs. Based on the results presented in Chap. 2 — especially the reciprocal screw systems and the compositional units with specific constraint characteristics — multi-DOF single-loop kinematic chains with a specified c-ζ-system are constructed in a straightforward way. Although the results presented in this chapter may not seem to have direct practical relevance, they will be used in the type synthesis of PMs in the following chapters. In fact, it will be shown later that the type synthesis approach proposed here for single-loop kinematic chains is a key component of the type synthesis methodology developed in this book for PMs. Therefore, this chapter is devoted solely to the type synthesis of single-loop kinematic chains.