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pro vyhledávání: '"Nawratil, Georg"'
Autor:
Nawratil, Georg
The famous example of the double-Watt mechanism given by Connelly and Servatius raises some problems concerning the classical definitions of higher-order flexibility and rigidity, respectively, as they attest the cusp configuration of the mechanism a
Externí odkaz:
http://arxiv.org/abs/2405.15447
Autor:
Nawratil, Georg
We give a full classification of continuous flexible discrete axial cone-nets, which are called axial C-hedra. The obtained result can also be used to construct their semi-discrete analogs. Moreover, we identify a novel subclass within the determined
Externí odkaz:
http://arxiv.org/abs/2401.04649
A smooth T-surface can be thought of as a generalization of a surface of revolution in such a way that the axis of rotation is not fixed at one point but rather traces a smooth path on the base plane. Furthermore, the action, by which the aforementio
Externí odkaz:
http://arxiv.org/abs/2312.09373
Autor:
Kapilavai, Aditya, Nawratil, Georg
The kinematic/robotic community is not only interested in measuring the closeness of a given robot configuration to its next singular one but also in a geometric meaningful index evaluating how far the robot design is away from being architecturally
Externí odkaz:
http://arxiv.org/abs/2312.09160
Autor:
Kapilavai, Aditya, Nawratil, Georg
We present an efficient algorithm for computing the closest singular configuration to each non-singular pose of a 3-RPR planar manipulator performing a 1-parametric motion. By considering a 3-RPR manipulator as a planar framework, one can use methods
Externí odkaz:
http://arxiv.org/abs/2307.14721
Autor:
Kapilavai, Aditya, Nawratil, Georg
It is well-known that parallel manipulators are prone to singularities. However, there is still a lack of distance evaluation functions, referred to as metrics, for computing the distance between two 3-RPR configurations. The proposed extrinsic metri
Externí odkaz:
http://arxiv.org/abs/2304.14199
We introduce an alternative way of constructing continuous flexible tubes and tubular structures based on a discrete, semi-discrete and smooth construction of surfaces known as T-hedra in the discrete case and profile-affine surfaces in the smooth se
Externí odkaz:
http://arxiv.org/abs/2301.09969
Autor:
Nawratil, Georg
We study cones and cylinders with a 1-parametric isometric deformation carrying at least two planar curves, which remain planar during this continuous flexion and are located in non-parallel planes. We investigate this geometric/kinematic problem in
Externí odkaz:
http://arxiv.org/abs/2212.05484
Autor:
Nawratil, Georg
Kokotsakis studied the following problem in 1932: Given is a rigid closed polygonal line (planar or non-planar), which is surrounded by a polyhedral strip, where at each polygon vertex three faces meet. Determine the geometries of these closed strips
Externí odkaz:
http://arxiv.org/abs/2202.07777
Publikováno v:
In Computer Aided Geometric Design September 2024 113