Keyword: theoretical kinematics
A new nonrigid (or articulated) moving platform with passive joints is proposed to reduce the interference between limbs and the moving platform. Then several 3R2T and 3R3T parallel mechanisms are synthesized by use of the proposed moving platform and Lie group theory. Finally, the rotational capability of the synthesized parallel mechanisms is exemplified by the kinematic analysis of one 3R3T parallel mechanism.
An intuitive approach for the mobility analysis of deployable mechanisms involved in a coplanar 2-twist screw system is proposed. The proposed approach can be used to explain the mobility of the deployable Bennett mechanism, Myard mechanism, and Bricard mechanism. Some novel deployable mechanisms could be found based on the proposed approach. The proposed approach can also be applied to the mobility analysis of multiloop deployable mechanisms.
Camus’s theorem provides a universal approach to the synthesis of conjugate profiles when the relative motion program is assigned through the relative centrodes (pitch curves). The main point is to choose the most convenient auxiliary curve, in order to trace the pair of conjugate tooth profiles as trajectories of a point or envelope of a second curve attached to this auxiliary curve. Thus, Camus’ concept of auxiliary surface (AS) is extended to the case of involute gears with skew axes with the aim to provide a unified theory to synthesize any type of gears.