Sliced space-filling designs with different levels of two-dimensional uniformity

2015 ◽  
Vol 157-158 ◽  
pp. 90-99 ◽  
Author(s):  
Kang Li ◽  
Bochuan Jiang ◽  
Mingyao Ai
Keyword(s):  
Two Dimensional ◽  
Space Filling ◽  
Dimensional Uniformity ◽  
Different Levels

Pipe Response Under Concentrated Lateral Loads and External Pressure

2005 ◽  
Author(s):  
Spyros A. Karamanos ◽  
Charis Eleftheriadis
Keyword(s):  
Three Dimensional ◽  
External Pressure ◽  
Absorption Capacity ◽  
Pressure Effects ◽  
Analytical Models ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Lateral Loads ◽  
Offshore Pipelines ◽  
Different Levels

The present paper examines the denting deformation of offshore pipelines and tubular members (D/t≤50) subjected to lateral (transverse) quasi-static loading in the presence of uniform external pressure. Particular emphasis is given on pressure effects on the ultimate lateral load of tubes and on their energy absorption capacity. Pipe segments are modeled with shell finite elements, accounting for geometric and material nonlinearities, and give very good predictions compared with test data from non-pressurized pipes. Lateral loading between two rigid plates, a two-dimensional case, is examined first. Three-dimensional case, are also analyzed, where the load is applied either through a pair of opposite wedge-shaped denting tools or a single spherical denting tool. Load-deflection curves for different levels of external pressure are presented, which indicate that pressure has significant influence on pipe response and strength. Finally, simplified analytical models are proposed for the two-dimensional and three-dimensional load configurations, which yield closed-form expressions, compare fairly well with the finite element results and illustrate some important features of pipeline response in a clear and elegant manner.

A THREE-DIMENSIONAL SIMULATION OF BRITTLE SOLID FRACTURE

1996 ◽  
Vol 07 (05) ◽  
pp. 717-729 ◽  
Author(s):  
ALEXANDER V. POTAPOV ◽  
CHARLES S. CAMPBELL
Keyword(s):  
Three Dimensional ◽  
Three Dimensions ◽  
Size Distributions ◽  
Two Dimensional ◽  
Brittle Solid ◽  
Space Filling ◽  
Comparison With Experiment ◽  
Linear Dimensions ◽  
Dimensional Simulation ◽  
Simulated Material

This paper describes an extension into three dimensions of an existing two-dimensional technique for simulating brittle solid fracture. The fracture occurs on a simulated solid created by "gluing" together space-filling polyhedral elements with compliant interelement joints. Such a material can be shown to have well-defined elastic properties. However, the "glue" can only support a specified tensile stress and breaks when that stress is exceeded. In this manner, a crack can propagate across the simulated material. A comparison with experiment shows that the simulation can accurately reproduce the size distributions for all fragments with linear dimensions greater than three element sizes.

Deployment with Sampling Coverage in Three-Dimensional Wireless Sensor Networks

2010 ◽  
Vol 43 ◽  
pp. 342-346 ◽  
Author(s):  
Zhong Qiu Jiang ◽  
Shu Yan
Keyword(s):  
Wireless Sensor Networks ◽  
Sensor Networks ◽  
Three Dimensional ◽  
Wireless Sensor ◽  
Two Dimensional ◽  
Space Filling ◽  
Node Deployment ◽  
Truncated Octahedron ◽  
Volume Entropy ◽  
High Connectivity

Node deployment is one of important questions in three-dimensional wireless sensor networks(3D WSNs) for the mountain monitoring. In this article, sampling coverage is proposed,and node deployment with sampling coverage is abstracted to mathematical spacing-filling study. The solving method is verified in two-dimensional wireless sensor networks(2D WSNs) firstly,then it is extended to 3D WSNs.Several space-filling polyhedrons are used to fill three-dimensional solid space,and volume entropy is defined to evaluate space-filling perfermance. We can use the minimum nodes to constructe 3D WSNs if choose the vertexes of truncated octahedron to set nodes. That deployment method can both achieve seamless sampling coverage and high connectivity based on computer simulation.

DIFFERENT BIFURCATION SCENARIOS OF NEURAL FIRING PATTERNS OBSERVED IN THE BIOLOGICAL EXPERIMENT ON IDENTICAL PACEMAKERS

2013 ◽  
Vol 23 (12) ◽  
pp. 1350195 ◽  
Author(s):  
HUAGUANG GU
Keyword(s):  
Parameter Space ◽  
Period Doubling ◽  
Two Dimensional ◽  
Neural Firing ◽  
Biological Experiment ◽  
Dimensional Parameter ◽  
Simple Process ◽  
Firing Patterns ◽  
Complex Process ◽  
Different Levels

Two different bifurcation scenarios of spontaneous neural firing patterns with decreasing extracellular calcium concentrations were observed in the biological experiment on identical pacemakers when potassium concentrations were fixed at two different levels. Six typical experimental scenarios manifesting dynamics closely matching those previously simulated using the Hindmarsh–Rose model and Chay model are provided as representative examples. Bifurcation scenarios from period-1 bursting to period-1 spiking via a complex process and via a simple process, period-doubling bifurcation to chaos, period-adding bifurcation with chaos, and period-adding bifurcation with stochastic burstings were identified. The results not only reveal that an experimental neural pacemaker is capable of generating different bifurcation scenarios but also provide a basic framework for bifurcations in neural firing patterns in a two-dimensional parameter space.

scholarly journals Numerical Study of Bubble Breakup in Fractal Tree-Shaped Microchannels

2019 ◽  
Vol 20 (21) ◽  
pp. 5516
Author(s):  
Chengbin Zhang ◽  
Xuan Zhang ◽  
Qianwen Li ◽  
Liangyu Wu
Keyword(s):  
Stream Flow ◽  
Numerical Study ◽  
Flow Direction ◽  
Underlying Mechanism ◽  
Two Dimensional ◽  
Bubble Breakup ◽  
Hydrodynamic Behaviors ◽  
Different Levels ◽  
Inlet Capillary ◽  
Insight Into

Hydrodynamic behaviors of bubble stream flow in fractal tree-shaped microchannels is investigated numerically based on a two-dimensional volume of fluid (VOF) method. Bubble breakup is examined in each level of bifurcation and the transition of breakup regimes is discussed in particular. The pressure variations at the center of different levels of bifurcations are analyzed in an effort to gain further insight into the underlying mechanism of bubble breakup affected by multi-levels of bifurcations in tree-shaped microchannel. The results indicate that due to the structure of the fractal tree-shaped microchannel, both lengths of bubbles and local capillary numbers decrease along the microchannel under a constant inlet capillary number. Hence the transition from the obstructed breakup and obstructed-tunnel combined breakup to coalescence breakup is observed when the bubbles are flowing into a higher level of bifurcations. Compared with the breakup of the bubbles in the higher level of bifurcations, the behaviors of bubbles show stronger periodicity in the lower level of bifurcations. Perturbations grow and magnify along the flow direction and the flow field becomes more chaotic at higher level of bifurcations. Besides, the feedback from the unequal downstream pressure to the upstream lower level of bifurcations affects the bubble breakup and enhances the upstream asymmetrical behaviors.

scholarly journals The Development of Graphic Representation in Abugida Writing: The Akshara’s Grammar

2013 ◽  
Vol 55 (2) ◽  
pp. 49-66 ◽  
Author(s):  
Liudmila Fedorova
Keyword(s):  
Hierarchical Structures ◽  
Graphic Representation ◽  
Two Dimensional ◽  
Phonological Information ◽  
Writing Systems ◽  
Functional Characteristics ◽  
Graphic Complexity ◽  
Complex Forms ◽  
Graphic Elements ◽  
Different Levels

Abstract Phonological writing systems can use different modes in the arrangement of phonological information: linear or emblematic. The latter presupposes a two-dimensional composition of graphic elements which convey information of different levels: basic phonological units or their secondary features. Abugida is one of the most perfect modes of writing, using a two-dimensional principle of organization in its graphemes. Indian scripts imply forms of abugida, based on aksharas - orthographic syllables - as main graphemes, with their vocalization marked by sub-graphemes. Their complex forms reveal hierarchical structures representing phonological structures. Thus, “the akshara’s grammar” may be described, with its paradigms of shapes and meanings, their organization in space, their modes of conjunction. The functional characteristics of diacritic types and ligatures can be specified. The graphic shapes of the akshara can be represented as forming a “grammar” comparable to morphological structures. The graphic complexity of writing can then be estimated in typological perspective. This paper is an attempt to describe such a grammar.

Lights and Lattices and Where They are Seen

1989 ◽  
Vol 68 (2) ◽  
pp. 487-504 ◽  
Author(s):  
George Gillespie
Keyword(s):  
Body Movement ◽  
Visual Images ◽  
Two Dimensional ◽  
Space Filling ◽  
Lucid Dreaming ◽  
Internal Image ◽  
Complex Images

The article discusses characteristics of internal visual images and is based on personal observations of lucid dream and hypnopompic phenomena. In the context of lucid dreaming there sometimes occur persisting bright lights that do not behave like ordinary dream images. These phenomena appear as areas of light, peripheral light, disks of light, sun-like concentrations of light, and fullness of light. These luminous phenomena remain in a fixed location in my view in spite of any dreamed body movement, may appear in different dreams in the same locations, are not truly representational, and appear to be unrelated to other dream images, visual or otherwise. These stable intense lights remain in a fixed location in relation to an area defined by keeping the head still and moving the eyes. This area is the space that is filled at times by scannable hypnopompic geometrical patterns or scannable hypnagogic complex images. Although space-filling patterns look like they extend like a dome over the eyes, a close examination shows that they have a two-dimensional flatness that reaches over the entire scannable area. The observation of these patterns as flat becomes understandable when we think of the internal image as having no distance or separation from the seeing of the image, that is, as being experienced face on at every point. The flatness of the hypnopompic pattern implies the flatness of all internal images. The experiencer translates the flat image to external positions around the eyes. This translation is explained.

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