Symmetry adapted Assur decompositions

A Nixon, B Schulze, A Sljoka, W Whiteley - Symmetry, 2014 - mdpi.com
… the orbit matrix as a symmetry adapted form of the rigidity … the decomposition and analysis
of symmetric frameworks and their symmetric motions can be supported by the new symmetry

Assur Decompositions of Direction-Length Frameworks

A Nixon - Graphs and Combinatorial Optimization: from Theory to …, 2021 - Springer
Assur decomposition of a DL-framework. Section 4 discusses drivers. In particular we show
which components of the Assur decomposition … how the Assur decomposition changes when …

Synthesis of Assur groups via group and matroid theory

FV Morlin, AP Carboni, D Martins - Mechanism and Machine Theory, 2023 - Elsevier
The aim of this paper is to present a systematic approach for the structural synthesis of Assur
groups from Baranov chains, based on group theory. An Assur group can be represented …

[HTML][HTML] Combinatorial characterization of the Assur graphs from engineering

B Servatius, O Shai, W Whiteley - European Journal of Combinatorics, 2010 - Elsevier
… the generation of Assur graphs and the decomposition of linkages into Assur graphs, at the
… into Assur graphs, as well as for generating all Assur graphs (Sections 3.2 Decomposition of …

Applications of Constraint Graphs and Assur Groups in Mechanism Analysis and Synthesis

E Hahn, A Sljoka, A Mueller - … and Information in …, 2017 - asmedigitalcollection.asme.org
decomposition of a graph representing a linkage into Assur graphs goes a further step compare
to the standard decomposition … pinned linkage into smaller Assur components, and then …

A single universal construction rule for the structural synthesis of mechanisms

E Hahn, O Shai - International Design Engineering …, 2016 - asmedigitalcollection.asme.org
… of Assur Graphs was first introduced by LV Assur [20]. In his original proposal, Assur referred
… In order to understand the decomposition of graphs into AGs, several terms and theorems …

Combinatorial characterization of the Assur graphs from engineering

B Servatius, O Shai, W Whiteley - arXiv preprint arXiv:0801.2525, 2008 - arxiv.org
… the generation of Assur graphs and the decomposition of linkages into Assur graphs, at
the … general linkages into Assur graphs, as well as for generating all Assur graphs (§3.2-3.3). …

Simplifications in the generation and transformation of two‐electron integrals in molecular calculations

NHF Beebe, J Linderberg - International Journal of Quantum …, 1977 - Wiley Online Library
… advantageously choose to symmetry adapt the basis from the … , we drop symmetry indices
and write the decomposition (23) … However, we do not have assurance that only a limited …

Combinatorial method for checking stability in tensegrity structures

D Cahan, O Shai - International Design Engineering …, 2015 - asmedigitalcollection.asme.org
… rigid determinate structure, named Assur Graph, then there is a … of Assur Graphs, in particular
their singular positions. It is proved that from all the determinate structures only the Assur

A novel ECG data compression method using adaptive fourier decomposition with security guarantee in e-health applications

JL Ma, TT Zhang, MC Dong - IEEE journal of biomedical and …, 2014 - ieeexplore.ieee.org
… compression method based on an adaptive Fourier decomposition (AFD) algorithm … signals
decomposition in HardyH2 and Hilbert L2 space [20]. This study is the first attempt to adapt