A Modified Method of Jacobean Torsor Model for Statistical Analysis of Geometrical Tolerances by Integrating Form Defects

  • M. Elmouden, M. Chahbouni, S. Boutahari, D. Amegouz

Abstract

Because it combines the Jacobian matrix allowing the propagation of tolerances and the torsor model representing the tolerances, the Jacobian torsor model is one of the more efficient methods for analysis of geometrical tolerances.
The torsor model is composed of three translation vectors and three rotation vectors, the modification adopted in this work is the introduction of a constraint between the components of the torsor and the taking into consideration of form defects.
In order to statistically analyze the parallelism and position tolerances in a dependent manner taking into account form defects, we will integrate the Jacobien torsor model and Monte Carlo simulation. The assembly in this model is subdivided into surfaces, and we have represented the relative position between the two surfaces of the assembly as a function of the small displacement torsor (SDT) parameters.
To this end, we have first studied tolerance analysis using the worst-case method, secondly, we have integrated statistical tolerance methods, and thirdly, we have added form defects in order to illustrate the impact on the tolerance analysis.

Published
2020-06-06
How to Cite
M. Elmouden, M. Chahbouni, S. Boutahari, D. Amegouz. (2020). A Modified Method of Jacobean Torsor Model for Statistical Analysis of Geometrical Tolerances by Integrating Form Defects. International Journal of Advanced Science and Technology, 29(04), 7626 - 7639. Retrieved from http://sersc.org/journals/index.php/IJAST/article/view/29800