A redundantly actuated planar 3-degree-of-freedom parallel mechanism is analyzed to show its high application potential as a haptic device. Its structure along with the closed form forward position solutions is briefly discussed. Then its geometric and kinematic characteristics via singularity analysis, the kinematic isotropy index, and the input-output force transmission ratio are investigated both for the redundantly actuated cases and for the non-redundantly actuated case. In addition, comparative joint torque simulations of the mechanism with different number of redundant actuations as well as without redundant actuation are conducted to confirm the improved joint torque distribution characteristics. Through these analyses it is shown that the geometric and kinematic characteristics of the redundantly actuated mechanism are superior to the ones of the mechanism without redundant actuation. Thus, it can be concluded that the suggested planar mechanism with redundant actuation has a very high potential for haptic device applications.

Two novel parallel mechanisms (PMs) employing two or three PaPaRR subchains are suggested. Each of those two PMs has translational 3-DOF motion and employs only revolute joints such that they could be adequate for haptic devices requiring minimal frictions. The position analyses of those two PMs are conducted. The mobility analysis, the kinematic modeling, and singularity analysis of each of two PMs are performed employing the screw theory. Then through optimal kinematic design, each of two PMs has excellent kinematic characteristics as well as useful workspace size adequate for haptic applications. In particular, by applying an additional redundantly actuated joint to the 2-PaPaRR type PM which has a closed-form position solution, it is shown that all of its parallel singularities within reachable workspace are completely removed and that its kinematic characteristics are improved.

본 논문에서는 6자유도를 갖는 병렬형 기구의 출력 속도 공간에서 성능을 평가할 수 있는 지표를 제안하였다. Manipulability와 condition number에 기반을 둔 성능 지표가 단위계의 볼일치로 인한 물리적 의미의 결함이 없도록 출력공간을 병진속도 공간과 회전속도 공간으로 분리하는 방법을 제안하였다. 각 공간에서 단위 입력에 대용하는 mobility ellipsoid를 정의하여 이를 기반으로 병진운동 출력공간에서 두 종류 성능 지표와 회전운동 공간에서 두 종류의 성능 지표를 제안하였다.