7 papers
Flexible discrete translational surfaces
Georg Nawratil
We give a full list of translational nets which flex within their class of discrete surfaces of translation, by reducing the classification problem to the one of flexible complete…
Higher-Order Flexible Configurations of Planar Parallel Manipulators Constructed by Averaging
Yudi Zhao, Georg Nawratil
This paper investigates singular configurations of planar 3-RPR parallel manipulators, which result from applying the averaging technique to solution pairs of their direct kinemati…
Construction and deformation of P-hedra using control polylines
Georg Nawratil
In the 19th International Symposium on Advances in Robot Kinematics the author introduced a novel class of continuous flexible discrete surfaces and mentioned that these so-called…
Flexible arrangement of two Bennett tubes
Georg Nawratil
In analogy to flexible bipyramids, also known as Bricard octahedra, we study flexible couplings of two Bennett mechanisms. The resulting flexible bi-Bennett structures can be used…
On flexes associated with higher-order flexible bar-joint frameworks
Georg Nawratil
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,…
A global approach for the redefinition of higher-order flexibility and rigidity
Georg Nawratil
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,…
From axial C-hedra to general P-nets
Georg Nawratil
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…