2013
DOI: 10.1007/978-1-4471-5073-2_9
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Feature Transformation from Configuration of Open-Loop Mechanisms into Linkages with a Case Study

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(2 citation statements)
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“…After selecting the Cartesian coordinates and unit quaternions describing the position and orientation, respectively, of each bead as the generalized coordinates, the unconstrained dynamical equations of motions of the system were derived using Kane's method. [26][27][28][29][30] The generalized coordinates, the tensile stress σ t ð Þ in Figure 2, and their respective time derivatives constituted the system variables in the resulting equations of motion. Holonomic constraint equations arising from the quaternion identity, the fiber-plate sticking phenomenon, and the nozzle's relative motion were implemented using the Udwadia-Kalaba method.…”
Section: Brief Background On the Theoretical Modelmentioning
confidence: 99%
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“…After selecting the Cartesian coordinates and unit quaternions describing the position and orientation, respectively, of each bead as the generalized coordinates, the unconstrained dynamical equations of motions of the system were derived using Kane's method. [26][27][28][29][30] The generalized coordinates, the tensile stress σ t ð Þ in Figure 2, and their respective time derivatives constituted the system variables in the resulting equations of motion. Holonomic constraint equations arising from the quaternion identity, the fiber-plate sticking phenomenon, and the nozzle's relative motion were implemented using the Udwadia-Kalaba method.…”
Section: Brief Background On the Theoretical Modelmentioning
confidence: 99%
“…After selecting the Cartesian coordinates and unit quaternions describing the position and orientation, respectively, of each bead as the generalized coordinates, the unconstrained dynamical equations of motions of the system were derived using Kane's method 26–30 . The generalized coordinates, the tensile stress σ()t$$ \sigma (t) $$ in Figure 2, and their respective time derivatives constituted the system variables in the resulting equations of motion.…”
Section: Brief Background On the Theoretical Modelmentioning
confidence: 99%