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Bounded disturbances with unknown dynamics on both translational and angular velocities are applied to the system.
Both translational and angular velocity profiles are investigated, and both fluid-like and solid-like behavior modes are observed in the flows.
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Translational and angular displacements within three linear ion traps with different electrode geometries, hyperbolic, circular and rectangular electrodes, were studied.
Using the spherical bipolar coordinate system, the translational and angular velocities of the osmophoretic vesicle are solved for various cases.
Joint space is defined by a vector whose components are the translational and angular displacements of each joint of a robotic link.
These tensors, which depend on certain surface integrals of the fluid impedance, couple the translational and angular velocities of the body.
The Hertzian contact theory is applied to calculate the elastic deflection and non-linear contact force, while the rotor has translational and angular motions.
In the limit of small Reynolds number, the Stokes and Brinkman equations are solved for the flow field of the system, and the hydrodynamic drag force and torque exerted by the fluid on the particle which is proportional to the translational and angular velocities, respectively, are obtained in closed forms.
These algorithms have been validated for single and multiple tablet scenarios: (a) comparing translational and angular velocities of a single bi-convex tablet impacting a flat plane, (b) comparing the fill fractions of bi-convex tablets in a container, and (c) comparing the dynamic angle of repose of bi-convex tablets in a rotating drum.
i) Estimate the translational and angular velocity at time t: boldsymbol{q} = boldsymbol{A}boldsymbol{V} (8).
Development of and preliminary results with an extended Kalman filter for the estimation of the translational and angular velocity of underwater vehicles.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com