Y. Takeda et H. Funabashi, KINEMATIC AND STATIC CHARACTERISTICS OF IN-PARALLEL ACTUATED MANIPULATORS AT SINGULAR POINTS AND IN THEIR NEIGHBORHOOD, JSME international journal. Series C, dynamics, control, robotics, design and manufacturing, 39(1), 1996, pp. 85-93
In the process of mechanism design and trajectory planning of in-paral
lel actuated manipulators, it is necessary to know the locations of al
l singular points in the working space. We propose a new method for nu
merically locating the singular points of in-parallel actuated manipul
ators based on the pressure angle. A singular-point curve is defined a
s a set of singular points. Kinematic and static characteristics at si
ngular points are analyzed by pressure angles and instantaneous screw
axes. Singular points of the Stewart Platform are investigated using t
he proposed method. The neighborhood of singular points is determined
from output error, isotropy of output force and driving force, and thu
s the practical working space is defined.