论文信息 - 3D variational polyhedral assembly configuration

3D variational polyhedral assembly configuration

Parts with geometric (size and shape) variations will generate assembly configuration uncertainties. To perform tolerance analysis, the real positions of variant parts and variant assembly configuration need to be investigated. In this paper, a relative positioning scheme is proposed to determine the optimal configuration of variant parts in an assembly. A method of calculating and representing positions of 3D polyhedral parts in assembly has been presented. By computing translational and rotational constraints, the configuration space for allowed motion parameters for each mating pair is obtained and the transformation of the object part is realized. Assembly configuration uncertainties caused by part variations are clarified by realizing the objective function. A 3D example shows the proposed positioning scheme on tolerance analysis of assemblies. Key Words: Relative positioning, variational geometry, tolerance analysis.

Utpal Roy | Bing Li

[1] Kunwoo Lee,et al. Inference of the positions of components in an assembly: part 2 , 1985 .

[2] Masatomo Inui,et al. Positioning conditions of parts with tolerances in an assembly , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[3] David N. Rocheleau,et al. System for interactive assembly modelling , 1987 .

[4] Utpal Roy,et al. Motion constraints in a 2D polygonal assembly , 1999 .

[5] Joshua U. Turner. Relative positioning of parts in assemblies using mathematical programming , 1990, Comput. Aided Des..

[6] Masatomo Inui,et al. Algebraic reasoning of position uncertainties of parts in an assembly , 1991, SMA '91.

[7] Glen Mullineux. Optimization scheme for assembling components , 1987 .

[8] Joshua U. Turner,et al. Relative positioning of variational part models for design analysis , 1994, Comput. Aided Des..