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DC Field | Value | Language |
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dc.contributor.author | Tyas, A | - |
dc.contributor.author | Pichugin, AV | - |
dc.contributor.author | Gilbert, M | - |
dc.date.accessioned | 2014-09-09T12:59:25Z | - |
dc.date.available | 2014-09-09T12:59:25Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 467(2128), 1101 - 1120, 2011 | en_US |
dc.identifier.issn | 1364-5021 | - |
dc.identifier.uri | http://rspa.royalsocietypublishing.org/content/467/2128/1101 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/9042 | - |
dc.description | This article is available open access through the publisher’s website at the link below. Copyright @ 2010 The Royal Society. | en_US |
dc.description.abstract | Recent numerical evidence indicates that a parabolic funicular is not necessarily the optimal structural form to carry a uniform load between pinned supports. When the constituent material is capable of resisting equal limiting tensile and compressive stresses, a more efficient structure can be identified, comprising a central parabolic section and networks of truss bars emerging from the supports. In the current article, a precise geometry for this latter structure is identified, avoiding the inconsistencies that render the parabolic form non-optimal. Explicit analytical expressions for the geometry, stress and virtual-displacement fields within and above the structure are presented. Furthermore, a suitable displacement field below the structure is computed numerically and shown to satisfy the Michell–Hemp optimality criteria, hence formally establishing the global optimality of this new structural form. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | The Royal Society | en_US |
dc.subject | Topology optimization | en_US |
dc.subject | Michell structure | en_US |
dc.subject | Prager structure | en_US |
dc.subject | Hencky net | en_US |
dc.subject | Parabolic arch | en_US |
dc.title | Optimum structure to carry a uniform load between pinned supports: Exact analytical solution | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1098/rspa.2010.0376 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics/Mathematical Sciences | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme/Institute of Materials and Manufacturing | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme/Institute of Materials and Manufacturing/Structural Integrity | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups/Centre for Research into Entrepreneurship, International Business and Innovation in Emerging Markets | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute of Cancer Genetics and Pharmacogenomics | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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