منابع مشابه
Axial Equiform Bricard Motions
Axial equiform Bricard motions are equiform motions where each point of the moving system sticks to a sphere and additionally a line (the axis) is fixed throughout the motion. In this paper we show that there are only two types of such motions. The first one is determined by requiring that the axis is translated along itself and another line, which is skew to the axis, always contains a point o...
متن کاملOn equiform Stewart Gough platforms with self-motions
A STEWART GOUGH (SG) manipulator, where the platform is similar to the base, is called equiform SG manipulator. It is well known that these SG manipulators with planar platform and planar base only have self-motions, if they are architecturally singular; i.e. the anchor points are located on a conic section. Therefore this study focuses on the non-planar case. We prove that an equiform SG manip...
متن کاملUnobservable Directions of VINS Under Special Motions
In this paper, we study the unobservable directions of vision-aided inertial navigation systems (VINS) under special motion profiles. It is well-known that the VINS has four unobservable directions, corresponding to the global translation and the rotation around gravity, under the assumption of generic 3D motions. Here we study the case when the motion is constrained to be of either constant lo...
متن کاملEquiform Kinematics and the Geometry of Line Elements
The present paper studies Plücker coordinates for line elements in Euclidean three-space. The well known relation between line geometry and kinematics is generalized to equiform motions and the geometry of line elements. We consider bundles and linear complexes of line elements and survey their properties. MSC 2000: 51M30, 53A17
متن کاملConstant Scalar Curvature of Three Dimensional Surfaces Obtained by the Equiform Motion of a Sphere
The number s is called the scaling factor. An equiform motion is defined if the parameters of (1.1), including s, are given as functions of a time parameter t. Then a smooth one-parameter equiform motion moves a point x via x(t) = s(t)A(t)x(t) + d(t). The kinematic corresponding to this transformation group is called equiform kinematic. See [2, 4]. Under the assumption of the constancy of the s...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1984
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1984.104087