11 citations · 25 across the 21 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
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…