Equilibrium configurations of a thin elastic rod with self-contacts
نویسندگان
چکیده
منابع مشابه
Quasi-static manipulation of a Kirchhoff elastic rod based on a geometric analysis of equilibrium configurations
Consider a thin, flexible wire of fixed length that is held at each end by a robotic gripper. Any curve traced by this wire when in static equilibrium is a local solution to a geometric optimal control problem, with boundary conditions that vary with the position and orientation of each gripper. We prove that the set of all local solutions to this problem over all possible boundary conditions i...
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Consider a thin, flexible wire of fixed length that is held at each end by a robotic gripper. The curve traced by this wire can be described as a local solution to a geometric optimal control problem, with boundary conditions that vary with the position and orientation of each gripper. The set of all local solutions to this problem is the configuration space of the wire under quasi-static manip...
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متن کاملSelf-encapsulation, or the ‘dripping’ of an elastic rod
A rod covering a fixed span is loaded at the middle with a transverse force, such that with increasing load a progressive deflection occurs. After a certain initial deflection, a phenomenon is observed where two points of the rod come in contact with each other. This is defined as the 'dripping point' and is when 'self-encapsulation' of the elastic rod occurs. Dripping seems at a first glance t...
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ژورنال
عنوان ژورنال: PAMM
سال: 2002
ISSN: 1617-7061,1617-7061
DOI: 10.1002/1617-7061(200203)1:1<137::aid-pamm137>3.0.co;2-b