Rigidity

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Joseph Malkevitch
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Rigidity

Postby Joseph Malkevitch » Fri Sep 22, 2017 1:10 pm

Dear Colleagues,

The recent unsettling images of the Mexican earthquakes are a reminder that despite progress in building structures with a blend of features that are rigid and flexible, strong quakes can still bring down seemingly "sturdy" buildings. Many are surprised that mathematical ideas are used to help engineers build more earthquake resistant buildings. There is an increasingly sophisticated theory of rigidity of frameworks that uses both geometrical ideas and more analytical ideas to understand what frameworks are rigidity and which ones can flex. This article is quite technical but has some diagrams which will help you understand some of the important ideas and also surveys some of the fascinating ongoing work in this area.

https://arxiv.org/pdf/1707.02172.pdf

Regards,

Joe
Joseph Malkevitch
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451

email:

malkevitch@york.cuny.edu

web page:

http://york.cuny.edu/~malk

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