Complex variable methods for linearized Euler rigid body rotation equations

2020 ◽  
Vol 170 ◽  
pp. 454-465 ◽  
Author(s):  
Adrián García-Gutiérrez ◽  
Javier Cubas ◽  
Huan Chen ◽  
Ángel Sanz-Andrés
Keyword(s):  
Rigid Body ◽  
Complex Variable ◽  
Body Rotation ◽  
Rigid Body Rotation ◽  
Complex Variable Methods

Diagnostic Value of Rigid Body Rotation in Noncompaction Cardiomyopathy

2011 ◽  
Vol 24 (5) ◽  
pp. 548-555 ◽  
Author(s):  
Bas M. van Dalen ◽  
Kadir Caliskan ◽  
Osama I.I. Soliman ◽  
Floris Kauer ◽  
Heleen B. van der Zwaan ◽  
...  
Keyword(s):  
Rigid Body ◽  
Diagnostic Value ◽  
Body Rotation ◽  
Rigid Body Rotation ◽  
Noncompaction Cardiomyopathy

Reduction of residual vibrations in a rotating flexible beam with a moving payload mass

1997 ◽  
Vol 211 (1) ◽  
pp. 25-34 ◽  
Author(s):  
S Choura
Keyword(s):  
Rigid Body ◽  
Position Control ◽  
Rate Of Change ◽  
Torque Control ◽  
Flexible Beam ◽  
Control Force ◽  
Axial Motion ◽  
Body Rotation ◽  
Rigid Body Rotation ◽  
Payload Mass

The reduction of residual vibrations for the position control of a flexible rotating beam carrying a payload mass is investigated. The common practice used to find the position control of a flexible multi-link arm is to assign a torque actuator to each joint while the payload mass is kept fixed relative to the end-link during the time of manoeuvre. This paper examines the stability of the system if either the payload is freed accidentally to move along the beam during the time of manoeuvre or is allowed to span the beam in a desired path for control purposes. A candidate Lyapunov function is constructed and its time rate of change is examined. It is shown that the use of a PD (proportional plus derivative) torque control yields a convergence of residual vibration to zero, an attainment of the rigid-body rotation to a prespecified desired angle of manoeuvre and a constant velocity of the payload mass as it moves relative to the beam. For manipulation purposes, an additional control force is added to the moving actuator in order to regulate its axial motion. It is shown that allowing the axial motion of the payload mass in a prescribed manner leads to a considerable reduction of its residual vibrations as compared to the case where the payload mass is fixed to the beam tip during the time of manoeuvre. Stability is also verified through simulations of rigid-body rotation and payload axial motion track prespecified reference trajectories.

scholarly journals Rigid-body rotation of an electron cloud in divergent magnetic fields

2013 ◽  
Vol 20 (7) ◽  
pp. 073502 ◽  
Author(s):  
A. Fruchtman ◽  
R. Gueroult ◽  
N. J. Fisch
Keyword(s):  
Magnetic Fields ◽  
Rigid Body ◽  
Electron Cloud ◽  
Body Rotation ◽  
Rigid Body Rotation

scholarly journals Spin-up problems of stratified rotating flows inside containers

2012 ◽  
Vol 712 ◽  
pp. 3-6 ◽  
Author(s):  
Peter W. Duck
Keyword(s):  
Steady State ◽  
Rigid Body ◽  
Rotation Rate ◽  
Stratified Flows ◽  
Rotating Flows ◽  
Body Rotation ◽  
Engineering Applications ◽  
Rigid Body Rotation ◽  
Flow Disruptions ◽  
Temporal Flow

AbstractRotating, stratified flows are important in a wide variety of both geophysical and engineering applications. Whilst ‘steady state’ flows of this type are generally very simple (in effect, rigid body rotation), the effect of abruptly altering (even a little) the rotation rate can induce significant temporal flow disruptions, made all the more complicated when the fluid is bounded inside a closed finite container, a problem studied both experimentally and theoretically by Foster & Munro (J. Fluid Mech., this issue, vol. 712, 2012, pp. 7–40).

Rigid body rotation surrounding the crack

1988 ◽  
Vol 30 (4) ◽  
pp. 451-459 ◽  
Author(s):  
A. Bhattacharya ◽  
B. Kishor
Keyword(s):  
Rigid Body ◽  
Body Rotation ◽  
Rigid Body Rotation
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