Accurate and Effective Localization of an Object in Large Equal Radius Scenario

2016 ◽  
Vol 15 (12) ◽  
pp. 8273-8285 ◽  
Author(s):  
Sasa Li ◽  
K. C. Ho
Keyword(s):  
Equal Radius

On the anisotropic response of a Janus drop in a shearing viscous fluid

2015 ◽  
Vol 770 ◽  
Author(s):  
Misael Díaz-Maldonado ◽  
Ubaldo M. Córdova-Figueroa
Keyword(s):  
Shear Flow ◽  
Velocity Gradient ◽  
External Flow ◽  
Bodies Of Revolution ◽  
Internal Interface ◽  
Equal Radius ◽  
Fluid Drop ◽  
Resistance Matrix ◽  
Shearing Motion ◽  
Unbounded Fluid

The force and couple that result from the shearing motion of a viscous, unbounded fluid on a Janus drop are the subjects of this investigation. A pair of immiscible, viscous fluids comprise the Janus drop and render it with a ‘perfect’ shape: spherical with a flat, internal interface, in which each constituent fluid is bounded by a hemispherical domain of equal radius. The effect of the arrangement of the internal interface (drop orientation) relative to the unidirectional shear flow is explored within the Stokes regime. Projection of the external flow into a reference frame centred on the drop simplifies the analysis to three cases: (i) a shear flow with a velocity gradient parallel to the internal interface, (ii) a hyperbolic flow, and (iii) two shear flows with a velocity gradient normal to the internal interface. Depending on the viscosity of the internal fluids, the Janus drop behaves as a simple fluid drop or as a solid body with broken fore and aft symmetry. The resultant couple arises from both the straining and swirling motions of the external flow in analogy with bodies of revolution. Owing to the anisotropic resistance of the Janus drop, it is inferred that the drop can migrate lateral to the streamlines of the undisturbed shear flow. The grand resistance matrix and Bretherton constant are reported for a Janus drop with similar internal viscosities.

Kinematic Analysis of Foldable Plate Structures With Rolling Joints

2016 ◽  
Vol 8 (3) ◽  
Author(s):  
Cai Jianguo
Keyword(s):  
Kinematic Analysis ◽  
Plate Structures ◽  
Revolute Joints ◽  
Equal Radius ◽  
The Difference ◽  
Planar Linkages ◽  
Panel Thickness

Rolling joints, which are created by attaching two cylindrical surfaces of equal radius using two or more thin tapes or cable, are used for rigid origami considering the panel thickness. First, the concept and two implementation methods of this joint are given. Then planar linkages are chosen to study the mobility and kinematics of foldable plate structures with rolling joints. It can be found that the rolling joints preserve the full-cycle-motion of foldable plate structures. From the closure equations of linkages, the results show that the outputs of linkages with rolling joints are the same as that with traditional revolute joints if the lengths of links are equal. However, the results are different when the lengths of links are unequal. Moreover, the difference between linkages with rolling joints and revolute joints increases with an increase of the size of rolling joints.

scholarly journals II. On a varying cylindrical lens

1887 ◽  
Vol 41 (246-250) ◽  
pp. 460-461
Keyword(s):  
The Body ◽  
Cylindrical Lens ◽  
The Other ◽  
British Association ◽  
Equal Radius

A cylindrical lens of continuously varying power has long been a desideratum, and one was constructed and described by Professor Stokes, at page 10 of the Report of the British Association for 1849 (Transactions of the Sections). He points out that— “If two piano-cylindrical lenses of equal radius, one concave and the other convex, be fixed, one in the lid and the other in the body of a small round wooden box, with a hole in the top and bottom, so as to be as nearly as possible in contact, the lenses will neutralise each other when the axes of the surfaces are parallel; and by merely turning the lid round an astigmatic lens may be formed, of a power varying continuously from zero to twice the astigmatic power of either lens.”

On the Contact Problem of Cylinders Containing a Shallow Longitudinal Surface Depression

1969 ◽  
Vol 36 (4) ◽  
pp. 852-858 ◽  
Author(s):  
Y. P. Chiu
Keyword(s):  
Approximate Solution ◽  
Cylindrical Surface ◽  
Elastic Cylinder ◽  
Small Radius ◽  
Corner Radius ◽  
Equal Radius ◽  
Pressure Peak ◽  
Maximum Contact ◽  
Surface Depression

Numerical results are presented in this paper for the determination of contact extent and maximum contact pressure for the contact of an elastic cylinder and a rigid cylinder containing a shallow longitudinal surface depression at the center of the contact. The profile of the depression is smoothly connected to the cylindrical surface by means of two arcs of equal radius. Comparison was made between the results of this solution and the well-known Hertzian solution without the depression. An approximate solution is given for the case that the contact under the arcs of small radius is narrow compared with that under the cylindrical surface. As the corner radius approaches zero, the magnitude of the pressure peak occurring at the shoulders of the depression varies inversely with 1/3 power of the corner radius.

scholarly journals Emergence of collective changes in travel direction of starling flocks from individual birds' fluctuations

2015 ◽  
Vol 12 (108) ◽  
pp. 20150319 ◽  
Author(s):  
Alessandro Attanasi ◽  
Andrea Cavagna ◽  
Lorenzo Del Castello ◽  
Irene Giardina ◽  
Asja Jelic ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Individual Behaviour ◽  
Individual Bird ◽  
Equal Radius ◽  
Directional Change ◽  
Intrinsic Fluctuations ◽  
The Mean ◽  
The Individual ◽  
Group Member ◽  
Crucial Ingredient

One of the most impressive features of moving animal groups is their ability to perform sudden coherent changes in travel direction. While this collective decision can be a response to an external alarm cue, directional switching can also emerge from the intrinsic fluctuations in individual behaviour. However, the cause and the mechanism by which such collective changes of direction occur are not fully understood yet. Here, we present an experimental study of spontaneous collective turns in natural flocks of starlings. We employ a recently developed tracking algorithm to reconstruct three-dimensional trajectories of each individual bird in the flock for the whole duration of a turning event. Our approach enables us to analyse changes in the individual behaviour of every group member and reveal the emergent dynamics of turning. We show that spontaneous turns start from individuals located at the elongated tips of the flocks, and then propagate through the group. We find that birds on the tips deviate from the mean direction of motion much more frequently than other individuals, indicating that persistent localized fluctuations are the crucial ingredient for triggering a collective directional change. Finally, we quantitatively verify that birds follow equal-radius paths during turning, the effects of which are a change of the flock's orientation and a redistribution of individual locations in the group.

The Large Equal Radius Conditions and Time of Arrival Geolocation Algorithms

2008 ◽  
Vol 31 (1) ◽  
pp. 254-272 ◽  
Author(s):  
Louis A. Romero ◽  
Jeff Mason ◽  
David M. Day
Keyword(s):  
Time Of Arrival ◽  
Equal Radius

scholarly journals Influence of Chemical Heterogeneity and Third Body on Adhesive Strength: Experiment and Simulation

2021 ◽  
Vol 7 ◽  
Author(s):  
Iakov A. Lyashenko ◽  
Qiang Li ◽  
Valentin L. Popov
Keyword(s):  
Indentation Depth ◽  
Normal Force ◽  
Adhesive Contact ◽  
Chemical Heterogeneity ◽  
Third Body ◽  
The Third ◽  
Contact Configuration ◽  
Geometrical Shapes ◽  
Equal Radius ◽  
Sand Particles

We investigate experimentally and numerically the influence of chemical heterogeneity and of third-body particles on adhesive contact. Chemical heterogeneity is generated by chemical treatment of the contacting bodies changing locally the surface energy. For studying the influence of the third body, two types of particles are used: sand particles with various geometrical shapes and sizes, and steel spheres of equal radius. Dependencies of the normal force on the indentation depth at both indenting and pull-off as well as the evolution of the contact configuration are investigated. Corresponding numerical simulations are carried out using the boundary element method (BEM).

scholarly journals INFLATING BALLS IS NP-HARD

2011 ◽  
Vol 21 (04) ◽  
pp. 403-415
Author(s):  
GUILLAUME BATOG ◽  
XAVIER GOAOC
Keyword(s):  
Time Algorithm ◽  
Np Hard ◽  
Affine Subspace ◽  
Fixed Dimension ◽  
Equal Radius ◽  
Intersection Formula

A collection [Formula: see text] of balls in ℝd is δ-inflatable if it is isometric to the intersection [Formula: see text] of some d-dimensional affine subspace E with a collection [Formula: see text] of (d + δ)-dimensional balls that are disjoint and have equal radius. We give a quadratic-time algorithm to recognize 1-inflatable collections of balls in any fixed dimension, and show that recognizing δ-inflatable collections of d-dimensional balls is NP-hard for δ ≥ 2 and d ≥ 3 if the balls' centers and radii are given by numbers of the form [Formula: see text] where a, …, e are integers.

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