Cyclides in solid modelling

This article presents a mathematical model and geometric design algorithm for a new type of roller drive. The pinion has conical teeth in two circular arrays instead of one. This work is based on coordinate transformation and envelope theory, from which the equation of meshing of the cycloid drive is derived. The pinion profiles are the equidistant curves of the epicycloid profiles except the contour of the pinion conical tooth holes. Although there are twice as many pinion teeth as conventional rollers, their speed ratios are identical. This approach can design roller drives in which the pinion has two circular arrays of conical and cylindrical rollers. On the basis of these results, the corresponding solid modelling is constructed by CAD. Four examples are presented to demonstrate the feasibility of this approach. These examples can be a useful reference as a design case for other tooth profiles.

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Solid Modelling—Survey and Current Research Issues

Computer Graphics Techniques ◽

10.1007/978-1-4612-4472-1_11 ◽

1990 ◽

pp. 363-405 ◽

Cited By ~ 3

Author(s):

M. J. Pratt

Keyword(s):

Solid Modelling ◽

Research Issues

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Simulation and 3D-Solid Modeling of Skew Bevel Gear

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.121-126.4685 ◽

2011 ◽

Vol 121-126 ◽

pp. 4685-4689

Author(s):

Luo Ping Zhang ◽

Jing Fu ◽

Bo Yuan Yang

Keyword(s):

Mathematical Model ◽

Basic Concept ◽

Grid Point ◽

Counting Function ◽

Tooth Surface ◽

Solid Modelling ◽

Kinematics Analysis ◽

Bevel Gears ◽

3D Solid ◽

3D Solid Modeling

In this paper, the basic concept and specific steps of establishing skew bevel gears mathematical model using conjugate meshing principle was introduced. Numerical value counting function of MATLAB was used to collect coordinate of tooth surface grid point, and under the Pro/E environment, data document of coordinate created by MATLAB was imported to establish tooth surface modeling , relying on the powerful function of complicated curve modelling, 3D solid modelling of gear was completed. The results via motion analysis kinematics analysis and interference inspecting under assembling condition show the accuracy of the design ,which supports further design, analysis and manufacture.

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Analysis of plasticulture landscapes in Southern Italy through remote sensing and solid modelling techniques

Landscape and Urban Planning ◽

10.1016/j.landurbplan.2010.11.008 ◽

2011 ◽

Vol 100 (1-2) ◽

pp. 45-56 ◽

Cited By ~ 48

Author(s):

Pietro Picuno ◽

Alfonso Tortora ◽

Rocco Luigi Capobianco

Keyword(s):

Remote Sensing ◽

Southern Italy ◽

Solid Modelling ◽

Modelling Techniques

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Collision Detection for Assembly Planning Using Solid Modelling

Volume 4: 3rd Design for Manufacturing Conference ◽

10.1115/detc98/dfm-5757 ◽

1998 ◽

Author(s):

Sa’id Golabi ◽

Kazem Abhary

Keyword(s):

Collision Detection ◽

Assembly Planning ◽

Solid Modelling ◽

Starting Point ◽

Fixed Part ◽

Grid Points ◽

Direction Determining

Abstract Details of a method for detecting collision of two parts when one is moved along a direction are discussed in this paper. Reduced number of grid points and the rays emit from these points to detect the intersection of a moving part with a fixed part, is the main advantage of this method comparing with the previous works in the literature. The intersection of rays, sent from a plane considerably far from both parts, with the faces of moving and fixed part are detected in this methods. If any ray intersects the moving part before intersecting the fixed part, the moving part will collide with the fixed part in that direction. Determining the starting point of the rays and detecting intersection of rays with the parts are also discussed in this paper.

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