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3D variational polyhedral assembly configuration

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Abstract

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.

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References

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© 1999 Springer Science+Business Media Dordrecht

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Roy, U., Li, B. (1999). 3D variational polyhedral assembly configuration. In: van Houten, F., Kals, H. (eds) Global Consistency of Tolerances. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1705-2_34

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  • DOI: https://doi.org/10.1007/978-94-017-1705-2_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5198-1

  • Online ISBN: 978-94-017-1705-2

  • eBook Packages: Springer Book Archive

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