Design and motion analysis of a novel coupled mechanism based on a regular triangular bipyramid

Abstract

Traditional methods and theories on synthesizing parallel mechanisms are not applicable to related researches on hybrid mechanisms, thus hampering the design of innovative coupled mechanisms. Polyhedrons with attractive appearance and particular geometrical construction provide many choices for coupled inventions. A novel mechanism with one translational degree of freedom based on a regular triangular bipyramid is proposed in this article. First, the basic equivalent geometrical model is spliced with new-designed components substituting for vertexes and edges by revolution joints (R-pairs) only. The expected motion for the basic coupled model can be achieved by adding links to modify the constraint sets and arrange spatial allocation of an elementary loop based on the screw theory. Then, the mobility of one branch is calculated to investigate the movability of the novel structure, and a Denavit–Hartenberg (D-H) model with properties of symmetry is implemented to investigate the inverse kinematic analysis. Furthermore, a numerical example is given to verify the correctness of analysis results and related motion simulation is conducted to illustrate the potential application of the proposed novel system as an executing manipulator for mobile robots.

Design and analysis of a shape-transformable polyhedral mechanism with transformation between a truncated tetrahedron and a tetrahedron

“…26 ) and a tetrahedron. The TrT–T mechanism features high rigidity owing to its coupling chains 27–30 and can be easily controlled using one Dof. The TrT–T mechanism can be used as deployable units and potentially applied to modules with shape-transformation ability for constructing reconfigurable and modular robots.…”

Research for a novel class of translational spatial multi-loop coupled mechanisms: Type synthesis and kinematic analysis

“…Inspired by Kirchhoff’s current law, Liu et al 10 proposed a simple yet effective method for calculating degrees of freedom of SMCMs based on screw theory, and based on the method, a novel regular triangular bipyramid mechanism was designed and analyzed. 11 Cao 12,13 synthesized a class of two-layer two-loop mechanisms based on mobility analysis and recently designed a new family of deployable mechanisms derived from this. 14,15 Zeng and colleagues 16,17 synthesized a variety of SMCMs based on mathematical logic and displacement group theory; however, the method is relatively complicated.…”