2015
DOI: 10.1177/0954405414565140
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An innovative method of modeling plane geometric form errors for precision assembly

Abstract: For precision mechanical systems, different distribution characteristics of geometric form errors usually lead to different assembly contact states, and in turn, different assembly errors are formed, due to the propagation and accumulation of geometric form errors. Statistically, a batch of part machined by the same precision process possesses the identical distribution characteristics of geometric form errors. It is of great importance to improve assembly accuracy and productivity if the statistic distributio… Show more

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Cited by 33 publications
(14 citation statements)
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“…In the multistage components assembly, much work has been done on the geometric error propagation in the assembly. 79 In the research of geometric tolerance representation, Desrochers and Rivière 10 proposed a matrix approach coupled to the notion of constrains for the representation of tolerance zones and the mathematical representation can be used easily for the computation of clearances and angular deviations. The method is suitable for any three-dimensional part and any type of surface.…”
Section: Introductionmentioning
confidence: 99%
“…In the multistage components assembly, much work has been done on the geometric error propagation in the assembly. 79 In the research of geometric tolerance representation, Desrochers and Rivière 10 proposed a matrix approach coupled to the notion of constrains for the representation of tolerance zones and the mathematical representation can be used easily for the computation of clearances and angular deviations. The method is suitable for any three-dimensional part and any type of surface.…”
Section: Introductionmentioning
confidence: 99%
“…Existing assembly error evaluation methods mainly include the tolerance analysis method [ 1 , 2 , 3 , 4 , 5 ] and finite element analysis [ 6 , 7 , 8 , 9 , 10 ]. In precision assembly, surface topography errors in the parts are unavoidable and cause assembly error.…”
Section: Introductionmentioning
confidence: 99%
“…In precision assembly, surface topography errors in the parts are unavoidable and cause assembly error. Of late, research on the abovementioned methods has focused on the effect of surface topography errors on the assembly process [ 3 , 4 , 5 , 8 , 9 , 10 ]. The surface topography error of the part can be mainly divided into three types: form error, waviness, and surface roughness.…”
Section: Introductionmentioning
confidence: 99%
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“…Monte Carlo simulations are commonly used in tolerance analysis [1,2], but this method needs massive samples to obtain reliable results [3]. T. Zhang et al [4] used the principal component analysis (PCA) to extract the common features of a batch of parts and provide a statistic model of the geometric form errors, which could be applied as a guide in assembly process optimization. E. Goka et al [5] decomposed the shape model into a nominal surface plus modal vectors and calculated the assemblability of two components through mathematical optimization.…”
Section: Introductionmentioning
confidence: 99%