A solution of worst-case tolerance analysis for partial parallel chains based on the Unified Jacobian-Torsor model

Zeng, Wenhui; Rao, Yunqing; Wang, Peng; Yi, Wanghua

doi:10.1016/j.precisioneng.2016.09.002

Cited by 48 publications

(21 citation statements)

References 22 publications

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“…The solution for the partial parallel chain was studied by algebraic calculation of torsor parameters, 29 in which the tolerance representation is modified to consider the effect of the parallel chain. Herein, the parallel chains PFE 1 and PFE 2 are illustrated in Figure 4 and the effect of parallel torsors on the tolerance propagation is discussed.…”

Section: Assembly Connection Chainmentioning

confidence: 99%

Assembly research of aero-engine casing involving bolted connection based on rigid-compliant coupling assembly deviation modeling

Kang

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Assembly analysis is necessary for mechanical product to optimize design and improve the product quality since assembly deviation is the key factor affecting the assembly quality. In this paper, the rigid-compliant assembly of thin-walled aero-engine casing is studied to evaluate the assembly quality at the design stage. First, the Jacobian–Torsor model is proposed to construct multistage casing assembly owing to its effectiveness to express assembly deviation. The torsor expression is modified and expanded to present the rigid-compliant coupling tolerance. Then, the partial parallel chain is addressed via combination operation. By using extremum and statistical method, the tolerance zone and the distribution of the objective deviation are obtained. Furthermore, to study the effect of specified compliant deviation on statistical distribution, the bolt looseness and positional deformation are investigated to provide an effective means for geometric deviation and connecting joints of aero-engine casing components of precision assembly. The presented method can address compliant deformation tolerance and geometrical manufacturing tolerance together, and is reliable for casing assembly to predict assembly quality at the design stage. In addition, it also has a great significance to guide tolerance design and product optimization.

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Section: Assembly Connection Chainmentioning

confidence: 99%

Assembly research of aero-engine casing involving bolted connection based on rigid-compliant coupling assembly deviation modeling

Kang

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…To overcome the lack of analytical models between the target feature and each feature on the dimensional chain, HTM was combined with T-Map to obtain an expression of the decoupling pose of tolerance features [18]. Since the Jacobian matrices are quite suitable for deviation propagation [19], the unified Jacobian-Torsor model was developed for product precision performance estimation [20][21][22]. Furthermore, some innovative modeling methods, such as neural network [23], volumetric envelope [24], modal analysis [25,26] and graph theory [27,28] have also been applied to model the mating tolerance of both parts and assemblies.…”

Section: Introductionmentioning

confidence: 99%

Assembly Tolerance Design Based on Skin Model Shapes Considering Processing Feature Degradation

Zhang

Qiu

et al. 2019

Applied Sciences

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To increase the reliability and accuracy of tolerance design, more and more research works are considering not only orientation and position deviations; they are also forming errors in tolerance modeling. As a direct cause of form errors in industrial mass production, the processing features of the machining system degrade over time. Under the Industry 4.0 paradigm, an assembly tolerance design method based on Skin Model Shape is proposed to take the effect of degrading processing features into consideration. A continuous-time multi-dimensional Markov process is trained through maximum likelihood estimation based on the nodal sampling point set on the machined surface. Degradation of the machined surface is modeled based on the joint probability distribution of nodal displacements. Assembly force constraints and assembly entity constraints are applied to spatial assembly simulations. Tolerance synthesis takes the manufacturing cost and assembling probability as design objectives. A design example of the rotary feed component in a five-axis machine tool is proposed for explanation and verification.

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“…A proposed unified Jacobian–Torsor model combines the benefits for tolerance representation and propagation. 8 The skin model shape concept, 9–11 developed from skin model theory, 12,13 can be used for assembly simulation 14 and served as digital twin. 15 A gap-based approach, called GapSpace 16 that uses gap to describe the relationship between features belonging to different components, and three main sources of variations are included into vector-loop-based model for a mechanical assembly.…”

Section: Introductionmentioning

confidence: 99%

A novel tolerance analysis method for three-dimensional assembly

Cao

Liu

Yang

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part B:

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Three-dimensional tolerance analysis is increasingly becoming an innovative method for computer-aided tolerancing. Its aim is to support the design, manufacturing, and inspection by providing a quantitative analysis of the effects of multi-tolerances on final functional key characteristics and predict the quality level. This article proposes a novel approach for three-dimensional assembly analysis—a hybridization of vector loop and quasi-Monte Carlo method. The former is used to establish the three-dimensional assembly chain and obtain the assembly function. The latter is adopted to generate n sets of dimensional values according to the distribution of each dimension in chain. The new method is shown to inherit many of the best features of classical vector loop and quasi-Monte Carlo, combining easy-to-obtain assembly function with accurate statistical analysis. For every set of dimensional values, one sample value of a functional requirement can be computed with the Newton–Raphson iterative procedure. A crank slider mechanical assembly is shown as an example to illustrate the proposed method.

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A solution of worst-case tolerance analysis for partial parallel chains based on the Unified Jacobian-Torsor model

Cited by 48 publications

References 22 publications

Assembly research of aero-engine casing involving bolted connection based on rigid-compliant coupling assembly deviation modeling

Assembly research of aero-engine casing involving bolted connection based on rigid-compliant coupling assembly deviation modeling

Assembly Tolerance Design Based on Skin Model Shapes Considering Processing Feature Degradation

A novel tolerance analysis method for three-dimensional assembly

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