

Mathematical Colloquium of the Bauman Moscow State Technical University
May 23, 2019 17:30–19:00, Moscow, Bauman Moscow State Technical University






Geometry of hinged constructions
M. D. Kovalev^{} 
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Abstract:
I will talk about the geometric properties of the ideal hinge mechanisms and trusses. I'll start with unusual examples of flat hinge mechanisms, such as a mechanism with a variable number of degrees of freedom. The formalization of the basic concepts of the theory of mechanisms for hingelever mechanisms, such as the concepts of the kinematic scheme, hinge mechanism and its configuration space, will be given. It will lead both to clarification of the picture and to a number of interesting new questions for mechanics and geometry. It will also be told about the unconventional understanding of hinge mechanisms by algebraic geometers, leading to misunderstandings.

