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Rigidity of periodic and symmetric structures in nature and engineering

Event

Starts:

February
232012

09:00

Ends:

February
242012

17:00

Location

Kavli Royal Society Centre, Chicheley Hall, Newport Pagnell, Buckinghamshire, MK16 9JJ

Overview

Image courtesy of Mike Treacy, Arizona State University. A view of Tschortnerite, a zeolite that can be considered as consisting of rigid tetrahedra linked by flexible joints at Oxygen atoms. On average, there are just as many constraints provided by joints as there are geometric freedoms for the tetrahadra.

Theo Murphy international scientific meeting organised by Dr Simon Guest, Professor Patrick Fowler and Professor Stephen Power

Event details

Rigidity and flexibility are at the heart of the behaviour of designed and natural structures, machines and materials. Combining theories of rigidity and symmetry has given insights in all these fields, and now periodic and repetitive structures give new challenges in the analysis of deformations and dynamics. Open mathematical questions have practical implications for engineers, materials scientists and chemists: progress will be made at this multidisciplinary meeting by drawing together diverse approaches from these fields.

Biographies of the organisers and speakers are available below.  Audio recordings are freely available and the programme can be downloaded here. Papers will be published in a future issue of Philosophical Transactions of the Royal Society A.

Event organisers

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Schedule of talks

Session 1

4 talks Show detail Hide detail

Exactly soluble models of phase transitions from rigid to flexible

Professor Mike Thorpe, Arizona State University, USA

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Incidental and fragmentary behaviour of periodic and symmetry structures

Professor Walter Whiteley, York University Toronto, Canada

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Stability of periodic structures: from composites to crystal lattices

Professor Nicolas Triantafyllidis, Laboratoire de Mecanique des Solides & Departement de Mecanique, USA

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Symmetry and constraints in chemical structures

Professor Michael O'Keeffe, Arizona State University, USA

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Session 2

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Enumerating 3D periodic nets via 2D hyperbolic geometry (Epinet)

Dr Vanessa Robins, The Australian National University, Australia

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Flexibility of ideal zeolite frameworks

Mr Colby Dawson, Arizona State University, USA

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Session 3

4 talks Show detail Hide detail

Frameworks with crystallographic symmetry

Professor Ciprian Borcea, Rider University, USA

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Group-theoretic insights on the vibration of symmetric structures in engineering

Professor Alphose Zingoni, University of Cape Town, South Africa

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Polynomials for crystal frameworks and the rigid unit mode spectrum

Professor Stephen Power, University of Lancaster, UK

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The rigidity of bar body frameworks on the fixed torus

Dr Elissa Ross, York University, Canada

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Session 4

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Counting rules for periodic frameworks

Dr Simon Guest, University of Cambridge, UK

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Counts for predicting symmetric motions in frameworks with applications to protein flexibility

Dr Bernd Schulze, York University, Canada

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On the flexibility and symmetry of overconstrained mechanisms

Professor Hellmuth Stachel, Technische Universität Wien, Austria

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Rigidity of periodic and symmetric structures in nature and engineering Kavli Royal Society Centre, Chicheley Hall Newport Pagnell Buckinghamshire MK16 9JJ