How Form Errors Impact on 2D Precision Assembly with Clearance?

Adragna, Pierre‐Antoine; Samper, Serge; Favrelière, Hugues

doi:10.1007/978-3-642-11598-1_6

Cited by 8 publications

(2 citation statements)

References 8 publications

(5 reference statements)

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“…These developments will be covered in further publications. According to the literature [10], form deviations are negligible compared to positional ones. Thus, they will be omitted in the presented study and the following ones.…”

Section: Geometric Modelmentioning

confidence: 88%

Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods

Beaucaire¹,

Gayton²,

Duc³

et al. 2013

Computer-Aided Design

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h i g h l i g h t s • Gaps cannot be considered as random variables. • The tolerance analysis issue is formulated thanks to the quantifier notion. • Two defect probabilities are defined: functionality defect probability and assembly defect probability. • Defect probabilities are computed using a system reliability method: FORM system. One of the aims of statistical tolerance analysis is to evaluate a predicted quality level at the design stage. One method consists of computing the defect probability P D expressed in parts per million (ppm). It represents the probability that a functional requirement will not be satisfied in mass production. This paper focuses on the statistical tolerance analysis of over-constrained mechanisms containing gaps. In this case, the values of the functional characteristics depend on the gap situations and are not explicitly formulated with respect to part deviations. To compute P D , an innovative methodology using system reliability methods is presented. This new approach is compared with an existing one based on an optimization algorithm and Monte Carlo simulations. The whole approach is illustrated using two industrial mechanisms: one inspired by a producer of coaxial connectors and one prismatic pair. Its major advantage is to considerably reduce computation time.

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Section: Geometric Modelmentioning

confidence: 88%

Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods

Beaucaire¹,

Gayton²,

Duc³

et al. 2013

Computer-Aided Design

View full text Add to dashboard Cite

show abstract

“…An iterative algorithm was also introduced to search for the contact equilibrium status of sheet metal assemblies (Ungemach and Mantwill, 2009; DahlströM and Lindkvist, 2007). The effect of the form errors of the shaft and the hole on the assembly accuracy was studied based on this (Adragna et al , 2010). However, the abovementioned studies were mainly for the two-dimensional (2D) assembly.…”

Section: Introductionmentioning

confidence: 99%

A new approach of surfaces registration considering form errors for precise assembly

Zhang

Jin

Liu

et al. 2020

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Purpose The modern manufacturing industry has put forward higher requirements for the assembly accuracy of components with the development of the industrial technology. For precision assembly, the traditional assembly process study based on tolerance has had difficulty in meeting these requirements. Hence, the distribution of the form errors must be considered. The registration between the two mating surfaces with form errors determines the parts’ assembly position, and is the basis for the prediction and control of the assembly accuracy. This study aims to provide a new surfaces registration method which takes form errors into consideration. Design/methodology/approach This study presents a new registration approach based on the minimum potential energy. A unique set of contact points on mating surfaces that meet the actual conditions can be obtained and the spatial position of the assembled part is calculated. Findings The experimental results show that the calculated values are in good agreement with the experimental values. Furthermore, the root mean square error is within 2%, which proves the validity and accuracy of the approach. Originality/value This paper provides an effective and new method for precision assembly which takes form errors into consideration. The method can give the optimal solution of the contact points, which is more consistent with the actual assembly situation and provides a basis for predicting assembly accuracy.

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How Form Errors Impact on 2D Precision Assembly with Clearance?

Cited by 8 publications

References 8 publications

Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods

Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods

A new approach of surfaces registration considering form errors for precise assembly

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