Fig 2 - available via license: Creative Commons Attribution 4.0 International
Content may be subject to copyright.
Rodrigues' rotation formula illustration. Let be í µí»¼í µí»¼ = 1 + 1 4 �í µí¼í µí¼ ̅ � 2 х А = í µí¼í µí¼ 1 , у А = í µí¼í µí¼ 2 , í µí± §í µí± § А = í µí¼í µí¼ 3 Let's rewrite formula (1) as: 2í µí»¼í µí»¼í µí»¥í µí»¥í µí¼í µí¼ ���� = 2í µí¼í µí¼ ̅ × í µí¼í µí¼̅ + í µí¼í µí¼ ̅ × (í µí¼í µí¼ ̅ × í µí¼í µí¼̅ ), where í µí»¥í µí»¥í µí¼í µí¼ ���� = í µí¼í µí¼ ′ � − í µí¼í µí¼̅ = í µí±í µí±̅
Source publication
The article describes the solution to the Rodrigues equation for determining the volumetric accuracy of multi-axis CNC-controlled systems. An algorithm for calculating the position of the axis of a rotary kinematic pair in problems of volumetric accuracy of mechanical motion of a portal-type system with an additional pair of rotation. The algorithm...
Context in source publication
Similar publications
Using the unsteady vortex lattice method based on the potential flow theory, a rapid modeling approach is developed for the aerodynamic computation of multi-lifting surfaces. Multiple lifting surfaces with different geometric parameters and grid divisions can be quickly integrated and meshed with the object-oriented data structure. The physical inf...
We consider a quantum limit-cycle oscillator implemented in a spin system whose quantization axis is slowly rotated. Using a kinematic approach to define geometric phases in nonunitary evolution, we show that the quantum limit-cycle oscillator attains a geometric phase when the rotation is sufficiently slow. In the presence of an external signal, t...
