A novel tolerance analysis method for three-dimensional assembly

Cao, Yanlong; Liu, Ting; Yang, Jiangxin; Yan, Huiwen

doi:10.1177/0954405418789979

Cited by 17 publications

(14 citation statements)

References 30 publications

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“…Let FR R be the variation requirement of a revolving feature. The variation of a feature can be decomposed into form variation FR 1 , rotation variation FR 2 and translation variation FR 3 , according to the kinematics 35 and tolerance analysis method 36 (see Figure 4). Based on the definition of the tolerances, FR 1 can be controlled by the form tolerance, FR 2 by the orientation tolerance and FR 3 by the position tolerance.…”

Section: The Development Of Rbe Methodsmentioning

confidence: 99%

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A rule-based exclusion method for tolerance specification of revolving components

Zhao

Cao

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part B:

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This article proposes a novel method for tolerance specification on revolving components. The revolving parts are widely used and functionally important. An exclusion approach is introduced to construct a tolerance specification method. A functional analysis tool is developed to select features to be specified and to generate their datum reference frame. A set of rules are modelled to create suitable specification schemes. The independent axiom and entropy theory are applied for further specification refinement. A software application is developed, and an RV (RV is a code of model) reducer is used as a case study. A comparison with other specification methods is undertaken.

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Section: The Development Of Rbe Methodsmentioning

confidence: 99%

Section: Geometrical Tolerances Selectionmentioning

confidence: 99%

A rule-based exclusion method for tolerance specification of revolving components

Zhao

Cao

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part B:

Self Cite

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“…But only partly tolerance standards can be met. Cao et al [21] proposed a hybridization of the vector loop and quasi-Monte Carlo method for three-dimensional assembly analysis. For each set of dimensional values, a sample value of functional requirements was computed using the Newton-Raphson iterative method.…”

Section: Related Workmentioning

confidence: 99%

A Data-Driven Methodology to Improve Tolerance Allocation Using Product Usage Data

Gao

Zheng

et al. 2021

Journal of Mechanical Design

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Industry 4.0 puts forward new requirements for the sustainable service of products. With the recent advances in measurement technologies, global and local deformations in inaccessible areas can be monitored. Product usage data such as geometric deviation, position deviation and angular deviation that lead to product functional performance degradation can be continuously collected during the product usage stage. These technologies provide opportunities to improve tolerance design by optimizing tolerance allocation using product usage data. The challenge lies in how to assess these deviations for identifying relevant field factors and reallocate the tolerance value. In this paper, a data-driven methodology based on the deviation for tolerance analysis is proposed to optimize the tolerance allocation. A feature graph of a mechanical assembly is established based on the assembly relationship. The node representation in the feature graph is defined based on the unified Jacobian-torsor model and the node label is calculated by a synthetic evaluation method. A novel algorithm based on the graph neural networks (GNNs) is proposed to investigate hidden relations between nodes in the feature graph and calculate labels of all nodes. A modification necessity index (MNI) is defined for each tolerance between two nodes based on their labels. A deviation difference matrix is constructed to calculate the MNI of each tolerance for identifying the to-be-modified tolerance value with high priorities for product improvement. The effectiveness of the proposed methodology is demonstrated through a case study for the optimal tolerance allocation of a press machine.

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“…For example, Monte Carlo sampling was employed to generate geometric deviations of mating-surfaces in researches focusing on assembly simulation. 25,26,27…”

Section: Monte Carlo Sampling-based Analysis Approach Framework For Podsmentioning

confidence: 99%

An approach to analyze the position and orientation between two parts assembled by non-ideal planes

Zhang

Qiao

Huang

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part B:

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Performance analysis, which plays a key role in the design stage, is employed to estimate whether product performance can satisfy design requirements. In general, product performance is gained after parts are assembled; product performance is influenced by the position and orientation deviations (PODs) that occur in directions of the constrained degrees of freedom (DOFs) due to the surface deviations of mating-surfaces. Furthermore, PODs are uncertain because the surface deviations as well as positions in the unconstrained DOF directions can vary randomly. Thus, predicting the consequences of uncertain PODs on product performance is key for performance analysis. Considering that planes are extensively used in assemblies, this study aims to propose a statistical approach to analyze the uncertain PODs of non-ideal planes. A modeling method from the perspective of manufacturing errors is employed to describe the uncertain surface deviations. A method for computing the uncertain PODs based on the progressive adjustment of coordinate systems is proposed. The maximum PODs that characterize the most unfavorable assembly situation are determined as evaluation indicators. Finally, the effectiveness of the presented approach is verified by a case study. Because both the effects of uncertain surface deviations and uncertain positions on PODs can be considered, the approach is expected to help predict the practical effects of uncertain PODs on product performance accurately during the design stage.

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A novel tolerance analysis method for three-dimensional assembly

Cited by 17 publications

References 30 publications

A rule-based exclusion method for tolerance specification of revolving components

A rule-based exclusion method for tolerance specification of revolving components

A Data-Driven Methodology to Improve Tolerance Allocation Using Product Usage Data

An approach to analyze the position and orientation between two parts assembled by non-ideal planes

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