A New Method on Estimating Free-Form Surface Profile Error of Blade

2018 ◽  
Author(s):  
Shuxin Xie ◽  
Hui Xu ◽  
Zhenhua Wang ◽  
Yanfan Wu ◽  
Guodong Chen
Keyword(s):  
Surface Profile ◽  
New Method ◽  
Free Form ◽  
Profile Error ◽  
Free Form Surface

New methods for projecting a 3D object onto a free-form surface

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Jingyu Pei ◽  
Xiaoping Wang ◽  
Leen Zhang ◽  
Yu Zhou ◽  
Jinyuan Qian
Keyword(s):  
Approximate Solution ◽  
New Method ◽  
Free Form ◽  
Parallel Projection ◽  
Content Type ◽  
3D Object ◽  
New Methods ◽  
Free Form Surface ◽  
Newton Raphson ◽  
Raphson Iteration

Purpose This paper aims to provide a series of new methods for projecting a three-dimensional (3D) object onto a free-form surface. The projection algorithms presented can be divided into three types, namely, orthogonal, perspective and parallel projection. Design/methodology/approach For parametric surfaces, the computing strategy of the algorithm is to obtain an approximate solution by using a geometric algorithm, then improve the accuracy of the approximate solution using the Newton–Raphson iteration. For perspective projection and parallel projection on an implicit surface, the strategy replaces Newton–Raphson iteration by multi-segment tracing. The implementation takes two mesh objects as an example of calculating an image projected onto parametric and implicit surfaces. Moreover, a comparison is made for orthogonal projections with Hu’s and Liu’s methods. Findings The results show that the new method can solve the 3D objects projection problem in an effective manner. For orthogonal projection, the time taken by the new method is substantially less than that required for Hu’s method. The new method is also more accurate and faster than Liu’s approach, particularly when the 3D object has a large number of points. Originality/value The algorithms presented in this paper can be applied in many industrial applications such as computer aided design, computer graphics and computer vision.

The Study on the Linking-Up of Free-Form Surface Fiber Placement Track Based on Mesh Creating

2008 ◽  
Vol 392-394 ◽  
pp. 682-687 ◽  
Author(s):  
Zhong Xi Shao ◽  
Hong Ya Fu ◽  
De Cai Li
Keyword(s):  
Projective Plane ◽  
Calculation Method ◽  
New Method ◽  
Free Form ◽  
Parallel Projection ◽  
Reference Vector ◽  
Fiber Placement ◽  
Vertex Point ◽  
Free Form Surface ◽  
Pass Through

When using meshing creating method of FP (fiber placement) track, once the track point falls at some vertex point of mesh element, in the meantime the vertex point happens to be shared by several mesh elements, there needs a reasonable calculation method to select next mesh element which the FP track will pass through. Then it comes to the problem on linking of FP tracks. In order to solve it, in this paper, the author puts forward a new method, in which parallel projection theory is used, project need analytical mesh element and FP reference vector to a sound projective plane, on which the mesh element be selected and the FP track be calculated, then the FP track would be projected back to the placement surface. Program using this method realized a reasonable joint at the shared vertex point of meshing elements, which the FP direction has little change, and the mutation of track doesn’t come forth. So, the correctness of the method, which putted forward in this paper, is proved.

Research on the Profile Error Evaluation and Visualization of Free-Form Surface

2010 ◽  
Vol 43 ◽  
pp. 560-564 ◽  
Author(s):  
Na Su ◽  
Hui Guo
Keyword(s):  
Minimum Distance ◽  
Practical Significance ◽  
Free Form ◽  
Geometric Feature ◽  
Error Evaluation ◽  
Profile Error ◽  
Swarm Optimization ◽  
B Spline ◽  
Free Form Surface ◽  
The Mathematical Model

To solve the problem of evaluating profile error of surface, theoretical surface was built by interpolating design points at the method of bicubic Non-Uniform Rational B-Spline(NURBS). Measuring points were gained by laser measurement, and the mathematical model was built for computing the error. The particle swarm optimization (PSO) was applied to compute the minimum distance from measuring points to design surface, which can evaluate profile error of surface accurately. At the same time, MATLAB software was used to realize visualization of profile error evaluation of free-form surface. Experiments show that the proposed optimization can obtain precise result, the method is feasible, visualization makes geometric feature observed more intuitive and there is important practical significance.

The New Method of Free Form Surface Honing

CIRP Annals ◽  
1993 ◽  
Vol 42 (1) ◽  
pp. 425-428 ◽  
Author(s):  
Bogdan Nowicki ◽  
Maciej Szafarczyk
Keyword(s):  
New Method ◽  
Free Form ◽  
Free Form Surface

Analytical Boundary Method for Obtaining Feed Scallop of Toroidal Cutter in Multi-Axis Milling

2017 ◽  
Vol 728 ◽  
pp. 48-53 ◽  
Author(s):  
Hendriko Hendriko
Keyword(s):  
Inclination Angle ◽  
New Method ◽  
Free Form ◽  
Scallop Height ◽  
Surface Machining ◽  
Boundary Method ◽  
Surface Profiles ◽  
Free Form Surface ◽  
Toroidal Cutter

This paper presents a new method to calculate the feed scallop height for a toroidal cutter during a free-form surface machining in multi-axis milling. The proposed method is an extended analytical boundary method to define the cut geometry during a free-form surface milling. The algorithm was developed by taken into account the existence of inclination angle. The proposed method was successfully implemented to calculate the scallop for two model parts with different surface profiles. The accuracy was verified by comparing the scallop height calculated using the proposed method with those measured using Siemens-NX. The results proved that the proposed method was accurate

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