Geometrically non-linear analysis of inclined elastic rods subjected to self-weight
نویسندگان
چکیده
منابع مشابه
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Cosserat rods are models for long slender objects. Let SE(3) = R3 SO(3) be the 13 group of orientation-preserving rigid body motions of R3 (the special Euclidean 14 group). A configuration of a Cosserat rod is a map φ : [0,1] → SE(3). For each 15 s ∈ [0,1], the value φ(s) = (φr(s),φq(s)) is interpreted as the position φr(s)∈R and 16 orientation φq(s)∈ SO(3) of a rigid rod cross section. Strain ...
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چکیده ندارد.
15 صفحه اولAnalysis of contact of elastic rods subject to large displacements
we present a mathematical model describing the motion of two elastic rods in contact. The model allows for large displacements and is essentially based on Cosserat’s modelling of rods. Using a penalty technique, we prove existence of a static solution in the case of a unique rod. The contact modelling involves unilateral constraints on the central lines of the rods. Existence is also proved for...
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ژورنال
عنوان ژورنال: Journal of the Brazilian Society of Mechanical Sciences and Engineering
سال: 2012
ISSN: 1678-5878
DOI: 10.1590/s1678-58782012000100008