Analytic and discrete fairing of three-dimensional B-spline curves using nonlinear programming

2007 ◽  
Vol 53 (2) ◽  
pp. 263-269 ◽  
Author(s):  
Hyun Chan Lee ◽  
Seok Yong Hong ◽  
Chung Sung Hong ◽  
Koohyun Park ◽  
Deok-Soo Kim
Keyword(s):  
Nonlinear Programming ◽  
Three Dimensional ◽  
B Spline ◽  
Spline Curves

scholarly journals Optimization of modular and helical coils applying genetic algorithm and fully-three-dimensional B-spline curves

2021 ◽  
Author(s):  
Hiroyuki Yamaguchi ◽  
Shinsuke Satake ◽  
Motoki Nakata ◽  
Akihiro Shimizu ◽  
Yasuhiro Suzuki
Keyword(s):  
Genetic Algorithm ◽  
Three Dimensional ◽  
B Spline ◽  
Spline Curves ◽  
Helical Coils

Freeform Deformation Versus B-Spline Representation in Inverse Airfoil Design

2008 ◽  
Vol 8 (2) ◽  
Author(s):  
Eleftherios I. Amoiralis ◽  
Ioannis K. Nikolos
Keyword(s):  
Three Dimensional ◽  
Differential Evolution Algorithm ◽  
3D Animation ◽  
B Spline ◽  
Spline Curves ◽  
Design Variables ◽  
Evolution Algorithm ◽  
Freeform Deformation ◽  
Reference Pressure ◽  
Insight Into

Freeform deformation (FFD) is a well established technique for 3D animation applications, used to deform two—or three-dimensional geometrical entities. Over the past few years, FFD technique has aroused growing interest in several scientific communities. In this work, an extensive bibliographic survey of the FFD technique is initially introduced, in order to explore its capabilities in shape parametrization. Moreover, FFD technique is compared to the classical parametrization technique using B-spline curves, in the context of the airfoil design optimization problem, by performing inverse airfoil design tests, with a differential evolution algorithm to serve as the optimizer. The criterion of the comparison between the two techniques is the achieved accuracy in the approximation of the reference pressure distribution. Experiments are presented, comparing FFD to B-spline techniques under the same flow conditions, for various numbers of design variables. Sensitivity analysis is applied for providing further insight into the differences in the performance of the two techniques.

Optimization of a Centrifugal Impeller Using Evolutionary Algorithms

2008 ◽  
Author(s):  
Andreas Bartold ◽  
Franz Joos
Keyword(s):  
Evolutionary Algorithms ◽  
Three Dimensional ◽  
Optimization Method ◽  
Navier Stokes ◽  
Centrifugal Impeller ◽  
Aerodynamic Design ◽  
B Spline ◽  
Spline Curves ◽  
Automated Optimization ◽  
Isentropic Efficiency

This paper presents the development and application of an automated optimization method for aerodynamic design of centrifugal impellers. The algorithm used for the optimization is an evolutionary algorithm. Within this method the shape of the centrifugal impeller is described using B-Spline curves. The method introduced is used for redesigning an existing impeller with regard to maximization of the isentropic efficiency at a fixed operating point. Here the isentropic efficiency is calculated using the solution of a compressible three-dimensional Reynolds-averaged Navier-Stokes solver. The presentation will show that the method presented provides a new design that outperforms the original impeller with respect to the particular objective and demonstrates its usefulness.

scholarly journals Conditions for regular $B$-spline curves and surfaces

1992 ◽  
Vol 26 (1) ◽  
pp. 177-190 ◽  
Author(s):  
N. Dyn ◽  
D. Levin ◽  
I. Yad-Shalom
Keyword(s):  
B Spline ◽  
Curves And Surfaces ◽  
Spline Curves

Algorithm to Reduce Leading and Lagging in Conformal Direct-Print

2018 ◽  
Vol 140 (10) ◽  
Author(s):  
Morteza Vatani ◽  
Faez Alkadi ◽  
Jae-Won Choi
Keyword(s):  
Additive Manufacturing ◽  
3D Printing ◽  
3D Model ◽  
Three Dimensional ◽  
Motion Direction ◽  
B Spline ◽  
And Topology ◽  
Printing System ◽  
3D Printed ◽  
Printed Patterns

A novel additive manufacturing algorithm was developed to increase the consistency of three-dimensional (3D) printed curvilinear or conformal patterns on freeform surfaces. The algorithm dynamically and locally compensates the nozzle location with respect to the pattern geometry, motion direction, and topology of the substrate to minimize lagging or leading during conformal printing. The printing algorithm was implemented in an existing 3D printing system that consists of an extrusion-based dispensing module and an XYZ-stage. A dispensing head is fixed on a Z-axis and moves vertically, while the substrate is installed on an XY-stage and moves in the x–y plane. The printing algorithm approximates the printed pattern using nonuniform rational B-spline (NURBS) curves translated directly from a 3D model. Results showed that the proposed printing algorithm increases the consistency in the width of the printed patterns. It is envisioned that the proposed algorithm can facilitate nonplanar 3D printing using common and commercially available Cartesian-type 3D printing systems.

Sign in / Sign up

Export Citation Format

Share Document