11 citations · 25 across the 21 of their papers we have counts for
26 papers
Shape Reconstruction of Trapezoidal Surfaces
Arvin Rasoulzadeh, Martin Kilian, Georg Nawratil
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 pat…
Architecture Singularity Distance Computations for Linear Pentapods
Aditya Kapilavai, Georg Nawratil
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 e…
Singularity Distance Computations for 3-RPR Manipulators Using Intrinsic Metrics
Aditya Kapilavai, Georg Nawratil
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 cons…
Singularity Distance Computations for 3-RPR Manipulators Using Extrinsic Metrics
Aditya Kapilavai, Georg Nawratil
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 d…
Generalizing rigid-foldable tubular structures of T-hedral type
Kiumars Sharifmoghaddam, Rupert Maleczek, Georg Nawratil
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-h…
Isometrically deformable cones and cylinders carrying planar curves
Georg Nawratil
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 no…
Generalizing continuous flexible Kokotsakis belts of the isogonal type
Georg Nawratil
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 ve…
Multi-stable design of triangulated origami structures on cones of revolution
Georg Nawratil
It is well-known that the Kresling pattern of congruent triangles can be arranged either circularly on a cylinder of revolution or in a helical way. In both cases the resulting cyl…
On origami-like quasi-mechanisms with an antiprismatic skeleton
Georg Nawratil
We study snapping and shaky polyhedra which consist of antiprismatic skeletons covered by polyhedral belts composed of triangular faces only. In detail, we generalize Wunderlich's…
Snappability and singularity-distance of pin-jointed body-bar frameworks
Georg Nawratil
It is well-known that there exist rigid frameworks whose physical models can snap between different realizations due to non-destructive elastic deformations of material. We present…
On homotopy continuation based singularity distance computations for 3-RPR manipulators
Aditya Kapilavai, Georg Nawratil
It is known that parallel manipulators suffer from singular configurations. Evaluating the distance between a given configuration to the closest singular one is of interest for ind…
On the snappability and singularity-distance of frameworks with bars and triangular plates
Georg Nawratil
In a recent article the author presented a method to measure the snapping capability -- shortly called snappability -- of bar-joint frameworks based on the total elastic strain ene…
Evaluating the snappability of bar-joint frameworks
Georg Nawratil
It is well-known that there exist bar-joint frameworks (without continuous flexions) whose physical models can snap between different realizations due to non-destructive elastic de…
Variational Path Optimization of Linear Pentapods with a Simple Singularity Variety
Arvin Rasoulzadeh, Georg Nawratil
The class of linear pentapods with a simple singularity variety is obtained by imposing architectural restrictions on the design in such a way that the manipulators singularity var…
Alternative interpretation of the Plücker quadric's ambient space and its application
Georg Nawratil
It is well-known that there exists a bijection between the set of lines of the projective 3-dimensional space and all real points of the so-called Plücker quadric . Moreov…
Linear Pentapods with a Simple Singularity Variety
Arvin Rasoulzadeh, Georg Nawratil
There exists a bijection between the configuration space of a linear pentapod and all points located on the singular quadric $Γ: u^2+v^2+w^2=…
Kinematic interpretation of the Study quadric's ambient space
Georg Nawratil
It is well known that real points of the Study quadric (sliced along a 3-dimensional generator space) correspond to displacements of the Euclidean 3-space. But we still lack of a k…
Kinematically Redundant Octahedral Motion Platform for Virtual Reality Simulations
Georg Nawratil, Arvin Rasoulzadeh
We propose a novel design of a parallel manipulator of Stewart Gough type for virtual reality application of single individuals; i.e. an omni-directional treadmill is mounted on th…
Rational Parametrization of Linear Pentapod's Singularity Variety and the Distance to it
Arvin Rasoulzadeh, Georg Nawratil
A linear pentapod is a parallel manipulator with five collinear anchor points on the motion platform (end-effector), which are connected via extendible legs to the base. This manip…
Mobile Icosapods
Matteo Gallet, Georg Nawratil, Josef Schicho +1
Pods are mechanical devices constituted of two rigid bodies, the base and the platform, connected by a number of other rigid bodies, called legs, that are anchored via spherical jo…
Addendum to Pentapods with Mobility 2
Georg Nawratil, Josef Schicho
In a foregoing publication the authors studied pentapods with mobility 2, where neither all platform anchor points nor all base anchor points are located on a line. It turned out t…
On the line-symmetry of self-motions of linear pentapods
Georg Nawratil
We show that all self-motions of pentapods with linear platform of Type 1 and Type 2 can be generated by line-symmetric motions. Thus this paper closes a gap between the more than…
Möbius Photogrammetry
Matteo Gallet, Georg Nawratil, Josef Schicho
Motivated by results on the mobility of mechanical devices called pentapods, this paper deals with a mathematically freestanding problem, which we call Möbius Photogrammetry. Unlik…
Self-motions of pentapods with linear platform
Georg Nawratil, Josef Schicho
We give a full classification of all pentapods with linear platform possessing a self-motion beside the trivial rotation about the platform. Recent research necessitates a contempo…