Computer-Aided Design and Machining of Composite Ruled Surfaces

1986 ◽  
Vol 108 (2) ◽  
pp. 217-223 ◽  
Author(s):  
B. Ravani ◽  
Y. J. Chen
Keyword(s):  
Computer Aided Design ◽  
Ruled Surface ◽  
Parameter Family ◽  
Ruled Surfaces ◽  
Basic Framework ◽  
Computer Aided ◽  
Subdivision Algorithm ◽  
Aided Design ◽  
Straight Lines ◽  
Generating Sequences

This paper develops the basic framework for Computer-Aided Design and Machining of composite ruled surfaces. Such surfaces are constructed by blending several patches which are segments of ruled surfaces. Taking advantage of the fact that a ruled surface is a one-parameter family of straight lines, methods are developed for blending of ruled patches. A new subdivision algorithm is also presented for generating sequences of cutter movements for machining of ruled patches.

An approach for designing a developable and minimal ruled surfaces using the curvature theory

2020 ◽  
Vol 18 (01) ◽  
pp. 2150015
Author(s):  
Fatma Güler
Keyword(s):  
Computer Graphics ◽  
Computer Aided Design ◽  
Research Topic ◽  
Ruled Surfaces ◽  
Developable Surfaces ◽  
Computer Aided ◽  
Curvature Theory ◽  
Active Research ◽  
Aided Design

Developable surfaces are defined to be locally isometric to a plane. These surfaces can be formed by bending thin flat sheets of material, which makes them an active research topic in computer graphics, computer aided design, computational origami and manufacturing architecture. We obtain condition for developable and minimal ruled surfaces using rotation frame. Also, the validity of the theorems is illustrated with examples.

Computer Aided Geometric Design of Line Constructs

1991 ◽  
Vol 113 (4) ◽  
pp. 363-371 ◽  
Author(s):  
B. Ravani ◽  
J. W. Wang
Keyword(s):  
Computer Aided Design ◽  
Geometric Design ◽  
Numerical Control ◽  
Ruled Surfaces ◽  
Motion Generation ◽  
Computer Aided ◽  
Nc Milling ◽  
On Line ◽  
Tool Motion ◽  
Aided Design

This paper develops a mathematical foundation for Computer Aided Design (CAD) of sculptured shapes based on line geometry. First, a new representation is presented for a line based on Plu¨cker coordinates that would allow specification of a line segment (rather than an infinite line) in an elegant manner and suitable for computational purposes. Then, methods are presented for geometric design of shape patches (here referred to as line constructs) by interpolating or approximating a set of control lines (rather than control points) using ruled surfaces, line congruences, and line complexes. The methods presented are general and allow utilization of different basis functions such as Be´zier, Cardinal, and B-spline bases. As Computer Aided Manufacturing (CAM) application of the theory, methods are developed for generation of offsets of ruled surfaces useful in Numerical Control (NC) milling and tool motion generation in the Wire Cut Electric Discharge Machining (EDM) operation.

Computer Aided Geometric Design of Line Constructs

1990 ◽  
Author(s):  
B. Ravani ◽  
J. W. Wang
Keyword(s):  
Computer Aided Design ◽  
Geometric Design ◽  
Numerical Control ◽  
Ruled Surfaces ◽  
Motion Generation ◽  
Computer Aided ◽  
Nc Milling ◽  
On Line ◽  
Tool Motion ◽  
Aided Design

Abstract This paper develops a mathematical foundation for Computer Aided Design (CAD) of sculptured shapes based on line geometry. First, a new representation is presented for a line based on Plücker coordinates that would allow specification of a line segment (rather than an infinite line) in an elegant manner and suitable for computational purposes. Then, methods are presented for geometric design of shape patches (here referred to as line constructs) by interpolating or approximating a set of control lines (rather than control points) using ruled surfaces, line congruences and line complexes. The methods presented are general and allow utilization of different basis functions such as Bézier, Cardinal and B-spline bases. As Computer Aided Manufacturing (CAM) application of the theory, methods are developed for generation of offsets of ruled surfaces useful in Numerical Control (NC) milling and tool motion generation in the Wire Cut Electric Discharge Machining (EDM) operation.

Integrating Computer-Aided Design and Nano-Indentation for Complex Lithograph

2013 ◽  
Vol 1 (1) ◽  
Author(s):  
Kangmin Xu ◽  
Seung-Cheol Yang ◽  
Xiaoping Qian
Keyword(s):  
Computer Aided Design ◽  
Machining Parameters ◽  
Geometry Processing ◽  
B Splines ◽  
Nano Indentation ◽  
Atomic Force ◽  
Computer Aided ◽  
Nanoscale Patterns ◽  
Aided Design ◽  
Straight Lines

We present an approach for producing complex nanoscale patterns by integrating computer-aided design (CAD) geometry processing with an atomic force microscope (AFM) based nanoindentation process. Surface modification is achieved by successive nanoindentation using a vibrating tip. By incorporating CAD geometry, this approach provides enhanced design and patterning capability for producing geometric features of both straight lines and freeform B-splines. This method automatically converts a pattern created in CAD software into a lithography plan for successive nanoindentation. For ensuring reliable lithography, key machining parameters including the interval of nanoindentation and the depth of nanogrooves have been investigated, and a proper procedure for determining the parameters has been provided. Finally, the automated nanolithography has been demonstrated on poly methylmethacrylate (PMMA) samples. It shows the robustness of complex pattern fabrication via the CAD integrated, AFM based nanoindentation approach.

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