Results 61 to 70 of about 1,787 (182)

Five-Axis Tool Path Generation of Injection Mold Represented by T-Spline Surface

Advances in Polymer Technology, 2020
Injection molding is widely used in industries to produce polymeric products. At present, compound NURBS surfaces are commonly used to represent freeform surfaces in mold models.
Ce Shang, Hongyao Shen, Jianzhong Fu, Yangfan Sun, Shuhua Yue, Jianfeng Zhang   +5 more
doaj   +1 more source

A Property on Singularities of NURBS Curves [PDF]

, 2002
We prove that if a.n open Non Uniform Rational B-Spline curve of order k has a singular point, then it belongs to both curves of order k - 1 defined in the k - 2 step of the de Boor algorithm. Moreover, both curves are tangent at the singular point.
Ana Arnal, Ana Lluch, Juan Monterde
openaire   +2 more sources

The multivariate quartic NURBS surfaces

Journal of Computational and Applied Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Chong-Jun, Wang, Ren-Hong
openaire   +1 more source

Comparative Analysis of NURBS and Finite Element Method in Computational Fluid Dynamics Applications: Case Study on NACA 2412 Airfoil Aerodynamics

Mathematics
In this research, an attempt was made to employ the Non-Uniform Rational B-Splines (NURBS) method for a challenging computational fluid dynamics (CFD) problem of aerodynamics around NACA 2412 airfoils.
Sohaib Guendaoui, Lahcen El Ouadefli, Abdeslam El Akkad, Ahmed Elkhalfi, Sorin Vlase, Maria Luminița Scutaru   +5 more
doaj   +1 more source

Comparative Study on the Interest in Non-Uniform Rational B-Splines Representation versus Polynomial Surface Description in a Freeform Three-Mirror Anastigmat

Photonics
Novel freeform optical design methods can be classified in two categories, depending on whether they focus on the generation of a starting point or the development of new optimization tools.
Clément Freslier, Guillaume Druart, Alice Fontbonne, Thierry Lépine, Christophe Buisset, Tibor Agocs, Arnaud Heliere, Fanny Keller, Jean-Baptiste Volatier, Stéphane Beaussier, Paul Jougla   +10 more
doaj   +1 more source

Isogeometric Bi-Directional Evolutionary Structural Optimization

IEEE Access, 2019
Isogeometric analysis (IGA), due to its high efficiency and accuracy, can be replaced by the conventional finite element method in the topology optimizations (TOs).
Ling Yin, Fei Zhang, Xiaowei Deng, Peng Wu, Hongxin Zeng, Mei Liu   +5 more
doaj   +1 more source

Creeping-ray tracing algorithm for arbitrary NURBS surfaces based on adaptive variable step Euler method

Dianzi Jishu Yingyong, 2018
Although the uniform theory of diffraction(UTD) could be theoretically applied to arbitrarily-shaped convex objects modeled by non-uniform rational b-splines(NURBS), one of the great challenges in calculation of the UTD surface diffracted fields is the ...
Cao Tuo, Fu Song, He Siyuan
doaj   +1 more source

Optimal Design of Grooved Cam Profile Using Non-uniform Rational B-splines

MATEC Web of Conferences, 2017
In order to reduce the fatigue damage in grooved cam mechanisms, grooved cam profile was reconstructed with non-uniform rational B-splines (NURBS). Considering joint friction, dynamic model of grooved cam mechanisms was established and the contact stress
Xuan Guantao, Shao Yuanyuan, Liu Lei
doaj   +1 more source

Static and Free Vibration Analysis of Laminated Composite Plates Using Isogeometric Approach Based on the Third Order Shear Deformation Theory

Advances in Mechanical Engineering, 2014
Isogeometric analysis (IGA) based on nonuniform rational B-splines (NURBS) is applied for static and free vibration analysis of laminated composite plates by using the third order shear deformation theory (TSDT).
Xinkang Li, Jifa Zhang, Yao Zheng
doaj   +1 more source

Mathematical Models For Natural Tooth Morphology Representations

International Dental Journal
Aim or purpose: This study aims to establish unified mathematical models for natural tooth morphology to address challenges in morphological analysis, classification, and simulation due to irregularity and inter-individual variations.
Du Chen, Shen Jiefei
doaj   +1 more source