G.W. Wei

Latency errors in the mathematical modelling and meshing characteristics of the toroidal drive

This paper reveals the latency errors in the manufacturing and assembly of the toroidal drive and integrates these errors in the coordinate systems and the mathematical models of the meshing equations for the conjugate surfaces between the planet worm-gear and the sun-worm and between the planet worm-gear and the stationary internal toroidal gear. The paper further develops the tooth profile model and the contact curves with the latency errors and examines the error effect on the helix model and the helix lead angle model. In addition, two kinds of limit curve model and the induced normal curvature models are further derived. This provides a comprehensive study of error effect on the meshing characteristics of the novel drive.

Structural Representation of Reconfigurable Linkages

This paper presents adjacency matrix originated three-dimensional matrix for structural representation of mechanisms by integrating binary string in the sense of displacement subgroup theory. The improved elementary matrix operation for expressing of topological transformation of metamorphic mechanism is integrated in the three-dimensional matrix representation. A novel reconfigurable eight-bar linkage employing variable-axis revolute joints is proposed and the three-dimensional matrix for each working phase is expressed to reveal the distinct geometry. The improved elementary matrix operation is used to express the topological transformation of a metamorphic eight-bar linkage and to identify the effectiveness of the operation.

Geometric Modeling and Simulation on Toroidal Drive

This paper investigates the geometric characteristics of the sun-worm and the stationary internal toroidal gear in toroidal drive, explores the three dimensional modeling, carries out kinematical simulation and interference detection for this kind of drive. Further, the dynamical simulation is also developed. Finally, the NC manufacturing simulation is propose that solves cutter selection and undercutting elimination for the practical NC manufacturing of the stationary internal toroidal gear.