Shape Optimisation of Curved Interconnecting Ducts

2015 ◽  
Vol 65 (4) ◽  
pp. 300 ◽  
Author(s):  
K. Srinivasan ◽  
V. Balamurugan ◽  
S. Jayanti
Keyword(s):  
Pressure Drop ◽  
Practical Interest ◽  
Three Dimensions ◽  
Shape Optimisation ◽  
Bezier Curves ◽  
Bézier Curves ◽  
Process Plants ◽  
Angular Bisector ◽  
The One ◽  
Dynamics Simulations

<p class="AbstractText">Practical ducting layout in process plants needs to satisfy a number of on-site constraints. The search for an optimal flow path around the obstructions is a multi-parameter problem and is computationally prohibitively expensive. In this study, authors proposed a rapid and efficient methodology for the optimal linkage of arbitrarily oriented fluid flow ducts using a single-parameter quadratic/cubic Bézier curves in two/three dimensions to describe the centreline of the curved duct. A smooth interconnecting duct can then be generated by extruding the duct face along the curve. By varying the parameter either along the angular bisector or along the axes of the ducts, a family of Bézier curves is generated. Computational fluid dynamics simulations show that the relationship between pressure drop and the adjustable parameter is a unimodal curve and the optimal connecting duct is the one which has the least pressure drop while satisfying on-site constraints can be used for linking the ducts. The efficacy of the method is demonstrated by applying it to some cases of practical interest.</p><p class="AbstractText"><strong>Defence Science Journal, Vol. 65, No. 4, July 2015, pp. 300-306, DOI: http://dx.doi.org/10.14429/dsj.65.8353</strong></p><p class="AbstractText"> </p>

scholarly journals Exploiting lattice structures in shape grammar implementations

2018 ◽  
Vol 32 (2) ◽  
pp. 147-161 ◽  
Author(s):  
Hau Hing Chau ◽  
Alison McKay ◽  
Christopher F. Earl ◽  
Amar Kumar Behera ◽  
Alan de Pennington
Keyword(s):  
Three Dimensional ◽  
Real Life ◽  
General Purpose ◽  
Three Dimensions ◽  
Shape Grammar ◽  
Shape Grammars ◽  
Bezier Curves ◽  
Bézier Curves ◽  
Computation Process ◽  
Shape Computation

AbstractThe ability to work with ambiguity and compute new designs based on both defined and emergent shapes are unique advantages of shape grammars. Realizing these benefits in design practice requires the implementation of general purpose shape grammar interpreters that support: (a) the detection of arbitrary subshapes in arbitrary shapes and (b) the application of shape rules that use these subshapes to create new shapes. The complexity of currently available interpreters results from their combination of shape computation (for subshape detection and the application of rules) with computational geometry (for the geometric operations need to generate new shapes). This paper proposes a shape grammar implementation method for three-dimensional circular arcs represented as rational quadratic Bézier curves based on lattice theory that reduces this complexity by separating steps in a shape computation process from the geometrical operations associated with specific grammars and shapes. The method is demonstrated through application to two well-known shape grammars: Stiny's triangles grammar and Jowers and Earl's trefoil grammar. A prototype computer implementation of an interpreter kernel has been built and its application to both grammars is presented. The use of Bézier curves in three dimensions opens the possibility to extend shape grammar implementations to cover the wider range of applications that are needed before practical implementations for use in real life product design and development processes become feasible.

Quadratic Bezier Curves for Multi-Agent Coordinated Arrival in the Presence of Obstacles

2021 ◽  
Author(s):  
Satyanarayana G. Manyam ◽  
David Casbeer ◽  
Isaac E. Weintraub ◽  
Dzung M. Tran ◽  
Justin M. Bradley ◽  
...  
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Multi Agent

General Trend of Negative Transference Number in Li Salt/Ionic Liquid Mixtures

2019 ◽  
Author(s):  
Nicola Molinari ◽  
Jonathan P. Mailoa ◽  
Boris Kozinsky
Keyword(s):  
Ionic Liquid ◽  
Transference Number ◽  
Liquid Mixtures ◽  
Single Linkage ◽  
Self Diffusion ◽  
Wide Range ◽  
Single Linkage Cluster ◽  
Concentrated Solution ◽  
The One ◽  
Dynamics Simulations

We show that strong cation-anion interactions in a wide range of lithium-salt/ionic liquid mixtures result in a negative lithium transference number, using molecular dynamics simulations and rigorous concentrated solution theory. This behavior fundamentally deviates from the one obtained using self-diffusion coefficient analysis and agrees well with experimental electrophoretic NMR measurements, which accounts for ion correlations. We extend these findings to several ionic liquid compositions. We investigate the degree of spatial ionic coordination employing single-linkage cluster analysis, unveiling asymmetrical anion-cation clusters. Additionally, we formulate a way to compute the effective lithium charge that corresponds to and agrees well with electrophoretic measurements and show that lithium effectively carries a negative charge in a remarkably wide range of chemistries and concentrations. The generality of our observation has significant implications for the energy storage community, emphasizing the need to reconsider the potential of these systems as next generation battery electrolytes.<br>

Curves used in highway design and Bezier curves

2021 ◽  
Vol Accepted ◽  
Author(s):  
Bayram Şahin ◽  
Aslı Ayar
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Highway Design

scholarly journals Characteristics of Precedent: The Case Law of the European Court of Justice in Three Dimensions

2015 ◽  
Vol 16 (5) ◽  
pp. 1073-1098 ◽  
Author(s):  
Mattias Derlén ◽  
Johan Lindholm
Keyword(s):  
European Union ◽  
Case Law ◽  
Three Dimensions ◽  
Eu Law ◽  
The European Union ◽  
European Union Law ◽  
Court Of Justice ◽  
European Court ◽  
Number Of Factors ◽  
The One

AbstractThe case law of the Court of Justice of the European Union (CJEU) is one of the most important sources of European Union law. However, case law's role in EU law is not uniform. By empirically studying how the Court uses its own case law as a source of law, we explore the correlation between, on the one hand, the characteristics of a CJEU case—type of action, actors involved, and area of law—and, on the other hand, the judgment's “embeddedness” in previous case law and value as a precedent in subsequent cases. Using this approach, we test, confirm, and debunk existing scholarship concerning the role of CJEU case law as a source of EU law. We offer the following conclusions: that CJEU case law cannot be treated as a single entity; that only a limited number of factors reliably affect a judgment's persuasive or precedential power; that the Court's use of its own case law as a source of law is particularly limited in successful infringement proceedings; that case law is particularly important in preliminary references—especially those concerning fundamental freedoms and competition law; and that initiating Member State and the number of observations affects the behavior of the Court.

scholarly journals A new method on motion planning for mobile robots using jump point search and Bezier curves

2021 ◽  
Vol 18 (4) ◽  
pp. 172988142110192
Author(s):  
Ben Zhang ◽  
Denglin Zhu
Keyword(s):  
Motion Planning ◽  
Initial Point ◽  
Target Point ◽  
Jump Point ◽  
Bezier Curves ◽  
Bézier Curves ◽  
Front End ◽  
Planning Algorithm ◽  
Point Search ◽  
Path Planning Algorithm

Innovative applications in rapidly evolving domains such as robotic navigation and autonomous (driverless) vehicles rely on motion planning systems that meet the shortest path and obstacle avoidance requirements. This article proposes a novel path planning algorithm based on jump point search and Bezier curves. The proposed algorithm consists of two main steps. In the front end, the improved heuristic function based on distance and direction is used to reduce the cost, and the redundant turning points are trimmed. In the back end, a novel trajectory generation method based on Bezier curves and a straight line is proposed. Our experimental results indicate that the proposed algorithm provides a complete motion planning solution from the front end to the back end, which can realize an optimal trajectory from the initial point to the target point used for robot navigation.

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