Coupling Geometrically Exact Cosserat Rods
نویسنده
چکیده
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 measures (vφ(s),uφ (s)) 17 at φ(s) live in the tangent space Tφ(s)SE(3), and are defined by 18
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