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CATEGORIES:Engineering Department Structures Research Seminar
s
SUMMARY:A Cheater’s Guide to Linkage Design - Andrew Vique
rat - Dept of Engineering
DTSTART;TZID=Europe/London:20120302T150000
DTEND;TZID=Europe/London:20120302T160000
UID:TALK36423AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/36423
DESCRIPTION:For about 20 years\, a handful of mathematicians a
nd engineers have been developing a powerful metho
d of solving systems of coupled\, nonlinear equati
ons called numerical continuation. In particular\,
this method lends itself to the solution of polyn
omial equations\, where it comes under the heading
of polynomial continuation. Coupled systems of po
lynomial equations often have more than one\, and
in some cases can have tens of thousands of perfec
tly valid solutions. It is now possible to find co
mputationally every one of those solutions\, and t
o be confident that no others exist. From a design
point of view\, this means that every feasible op
tion for a problem posed in polynomial form can be
determined at once.\nA broad variety of engineeri
ng design problems or models can be posed in polyn
omial form\, but continuation finds a natural home
in the field of kinematics and mechanism/linkage
analysis (a topic of study at Cambridge since the
1870’s). Some of the most interesting results of p
olynomial continuation arise when applied to overc
onstrained mechanisms\; those which are mobile onl
y because of some quirk of geometry. \nThis talk t
akes its name from a feature of polynomial continu
ation known as a cheater’s homotopy\, in which all
the solutions of a system of equations are found
quickly and easily using only a little knowledge a
bout the equations’ structure. As the name suggest
s\, using continuation to design linkages might be
almost too simple!\n
LOCATION:Engineering Department - **LR6**
CONTACT:Lorna Everett
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