2003
DOI: 10.1023/a:1026008414065
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Cited by 37 publications
(8 citation statements)
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“…where the second equality follows from Equations ( 35) and (36). The array of sectional deformation measures is…”
Section: Velocities Deformation Measures and Stress Resultantsmentioning
confidence: 99%
“…where the second equality follows from Equations ( 35) and (36). The array of sectional deformation measures is…”
Section: Velocities Deformation Measures and Stress Resultantsmentioning
confidence: 99%
“…On the other hand, for the generalized momentum of a rigid body, it is the momentum of the body t that is the free vector and the angular momentum τ about a given point in the body is the bound vector. In this case, the transformation is instead T T s, i.e., s a = T T ba s b [11,19]. Note that the transformation here is from (O b , F b ) to (O a , F a ).…”
Section: Rotations and Poses As Matrix Lie Groupsmentioning
confidence: 99%
“…This adjoint representation is used in the geometrically exact beam formulation by Borri et al [36,37,44,62] and Bauchau [70]. In this context, the adjoint transformation matrix Ad C is referred to as the configuration tensor [14,70], and used to describe frame transformations, where Ad(SE( 3)) was denoted SR (6). The expression (1.1) for the twists, and (1.8) for the deformation tensor defining the strain field, are then replaced bẏ…”
Section: Lemma 24 the Directional Derivative Of The Matrix Dexp Inmentioning
confidence: 99%
“…The expression (3.27) was derived in [82], and (3.29) was presented in [71]. Relation (3.26) was reported without proof in [14], and elements of the parameter vector X ∈ R 6…”
Section: (Ii) Differential Of the Cayley Mapmentioning
confidence: 99%
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