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CATEGORIES:Engineering Department Structures Research Seminar
s
SUMMARY:Reciprocal constructions using conic sections &
\; Poncelet duality - Marina Konstantatou - Struct
ures Group
DTSTART;TZID=Europe/London:20161014T153000
DTEND;TZID=Europe/London:20161014T160000
UID:TALK68530AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/68530
DESCRIPTION:Graphic Statics offers a geometrical framework for
the design & analysis of structural systems with
reciprocity between the ‘form’ and ‘force’ diagram
s being a fundamental notion. In this presentation
we provide a detailed illustration and explanatio
n of Maxwell’s reciprocal construction for 2-dimen
sional trusses through a 3-dimensional paraboloid
of revolution. Even though Maxwell briefly mention
s this method there is no record of the detailed c
onstruction.\nThe main focus of this research is p
laced on the synthesis of Poncelet duality in proj
ective geometry and of reciprocity in graphic stat
ics resulting in the definition of a generalised d
ual statement for the construction of reciprocal d
iagrams (Maxwell 2D & Rankine 3D). This is based o
n the construction of their higher dimensional pol
yhedral Airy stress functions\, using conic sectio
ns. We generalise the construction for other conic
s\, such as the sphere and ellipsoid\, and we exte
nd the definition for 3-dimensional trusses and co
rresponding higher-dimensional conic sections.\n
LOCATION: Cambridge University Engineering Department\, LR6
CONTACT:Lorna Everett
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