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pro vyhledávání: '"Power, S. C."'
Autor:
Power, S. C.
The first-order flex space of the bar-joint framework $G_P$ of a parallelogram tiling $P$ is determined in terms of an explicit free basis. Applications are given to braced parallelogram frameworks and to quasicrystal frameworks associated with multi
Externí odkaz:
http://arxiv.org/abs/2107.06602
Autor:
Kastis, E., Power, S. C.
Four sets of necessary and sufficient conditions are obtained for the first-order rigidity of a periodic bond-node framework \C in R^d which is of crystallographic type. In particular, an extremal rank characterisation is obtained which incorporates
Externí odkaz:
http://arxiv.org/abs/1802.00980
Akademický článek
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Autor:
Power, S. C., Schulze, B.
New classes of distance-constrained structures are introduced, namely string-node nets and meshes, a mesh being a string-node net for which the nodes are dense in the strings. Various construction schemes are given including the minimal extension of
Externí odkaz:
http://arxiv.org/abs/1601.04539
Autor:
Power, S. C.
An elementary proof is given to show that a parametrised algebraic curve in the plane may be traced out, in the sense of A. B. Kempe, by a finite pinned linkage. Additionally it is shown that any parametrised continuous curve \gamma: [0,1] to R^2 may
Externí odkaz:
http://arxiv.org/abs/1511.09002
A crystallographic bar-joint framework C is shown to be almost periodically infinitesimally rigid if and only if it is strictly periodically infinitesimally rigid and the rigid unit mode (RUM) spectrum is a singleton. Moreover the almost periodic inf
Externí odkaz:
http://arxiv.org/abs/1402.6250
Autor:
Kitson, D., Power, S. C.
A rigidity theory is developed for the Euclidean and non-Euclidean placements of countably infinite simple graphs in R^d with respect to the classical l^p norms, for d>1 and 1
Externí odkaz:
http://arxiv.org/abs/1310.1860
Autor:
Power, S. C.
An introduction and survey is given of some recent work on the infinitesimal dynamics of \textit{crystal frameworks}, that is, of translationally periodic discrete bond-node structures in $\mathbb{R}^d$, for $ d=2,3,...$. We discuss the rigidity matr
Externí odkaz:
http://arxiv.org/abs/1111.2943
Autor:
Power, S. C.
To each discrete translationally periodic bar-joint framework $\C$ in $\bR^d$ we associate a matrix-valued function $\Phi_\C(z)$ defined on the d-torus. The rigid unit mode spectrum $\Omega(\C)$ of $\C$ is defined in terms of the multi-phases of phas
Externí odkaz:
http://arxiv.org/abs/1102.2744
Autor:
Owen, J. C., power, S. C.
A theory of flexibility and rigidity is developed for general infinite bar-joint frameworks (G,p). Determinations of nondeformability through vanishing flexibility are obtained as well as sufficient conditions for deformability. Forms of infinitesima
Externí odkaz:
http://arxiv.org/abs/1009.3954