An iterative method of statistical tolerancing based on the unified Jacobian–Torsor model and Monte Carlo simulation

Peng, Heping; Peng, Zhuoqun

doi:10.1093/jcde/qwaa015

Cited by 5 publications

(3 citation statements)

References 21 publications

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“…e effectiveness evaluation of the data fusion system is generally quantitatively evaluated by Monte Carlo simulation [147,148] or covariance error analysis technology [18,149]. To optimize the data fusion system, the following basic issues must be considered and solved [150,151]: (1) choose what algorithm or technology is the most suitable and optimal; (2) choose which fusion framework to use (that is, where the data flow is processed in the fusion process) is most appropriate;…”

Section: Knowledge Fusion and Process Optimizationmentioning

confidence: 99%

A New View of Multisensor Data Fusion: Research on Generalized Fusion

Chen

Liu

et al. 2021

Mathematical Problems in Engineering

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Multisensor data generalized fusion algorithm is a kind of symbolic computing model with multiple application objects based on sensor generalized integration. It is the theoretical basis of numerical fusion. This paper aims to comprehensively review the generalized fusion algorithms of multisensor data. Firstly, the development and definition of multisensor data fusion are analyzed and the definition of multisensor data generalized fusion is given. Secondly, the classification of multisensor data fusion is discussed, and the generalized integration structure of multisensor and its data acquisition and representation are given, abandoning the research characteristics of object oriented. Then, the principle and architecture of multisensor data fusion are analyzed, and a generalized multisensor data fusion model is presented based on the JDL model. Finally, according to the multisensor data generalized fusion architecture, some related theories and methods are reviewed, and the tensor-based multisensor heterogeneous data generalized fusion algorithm is proposed, and the future work is prospected.

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Section: Knowledge Fusion and Process Optimizationmentioning

confidence: 99%

A New View of Multisensor Data Fusion: Research on Generalized Fusion

Chen

Liu

et al. 2021

Mathematical Problems in Engineering

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“…The unified Jacobian-torsor model is a three-dimensional tolerance analysis model based on robot kinematics, computer graphics and torsor theory (Peng and Peng, 2020). It uses the SDT as a tolerance representation model and the Jacobian matrix as a tolerance propagation tool.…”

Section: Statistical Computation Based On Edge Samplingmentioning

confidence: 99%

A quasi-Monte Carlo statistical three-dimensional tolerance analysis method of products based on edge sampling

Zhou

Liu

Qiu

et al. 2021

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Purpose The conventional statistical method of three-dimensional tolerance analysis requires numerous pseudo-random numbers and consumes enormous computations to increase the calculation accuracy, such as the Monte Carlo simulation. The purpose of this paper is to propose a novel method to overcome the problems. Design/methodology/approach With the combination of the quasi-Monte Carlo method and the unified Jacobian-torsor model, this paper proposes a three-dimensional tolerance analysis method based on edge sampling. By setting reasonable evaluation criteria, the sequence numbers representing relatively smaller deviations are excluded and the remaining numbers are selected and kept which represent deviations approximate to and still comply with the tolerance requirements. Findings The case study illustrates the effectiveness and superiority of the proposed method in that it can reduce the sample size, diminish the computations, predict wider tolerance ranges and improve the accuracy of three-dimensional tolerance of precision assembly simultaneously. Research limitations/implications The proposed method may be applied only when the dimensional and geometric tolerances are interpreted in the three-dimensional tolerance representation model. Practical implications The proposed tolerance analysis method can evaluate the impact of manufacturing errors on the product structure quantitatively and provide a theoretical basis for structural design, process planning and manufacture inspection. Originality/value The paper is original in proposing edge sampling as a sampling strategy to generating deviation numbers in tolerance analysis.

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“…Li et al (2022) studied the ultra-precision measurement of the center of gravity of aero-engine rotor and proposed a measurement model based on the Jacobian–Torsor theory to improve the measurement accuracy in rotor assembly. Peng and Peng (2020) combined the assembly functional requirement and the functional elements of corresponding tolerances chain to derive a unified Jacobian–Torsor model. Du et al (2017) studied the final error of CNC machine and proposed an error model based on the Jacobian–Torsor theory to determine the mechanism of action in single-axis assembly.…”

Section: Introductionmentioning

confidence: 99%

Research on assembly accuracy of deployable arm based on Jacobian-Torsor model

et al. 2023

RIA

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Purpose The purpose of this study is to establish an assembly accuracy analysis model of deployable arms based on Jacobian–Torsor theory to improve the assembly accuracy. Spacecraft deployable arm is one of the core components of spacecraft. Reducing the errors in assembly process is the main method to improve the assembly accuracy of spacecraft deployable arms. Design/methodology/approach First, the influence of composite connecting rod, root joint and arm joint on assembly accuracy in the tandem assembly process is analyzed to propose the assembly accuracy analysis model. Second, a non-tandem assembly process of “two joints fixed-composite rod installed-flange gasket compensated” is proposed and analyzed to improve the assembly accuracy of deployable arms. Finally, the feasibility of non-tandem assembly process strategy is verified by assembly experiment. Findings The experiential results show that the assembly errors are reduced compared with the tandem assembly process. The errors on axes x, y and z directions decreased from 14.1009 mm, 14.2424 mm and 0.8414 mm to 0.922 mm, 0.671 mm and 0.2393 mm, respectively. The errors round axes x and y directions also decreased from 0.0050° and 0.0053° to 0.00292° and 0.00251°, respectively. Originality/value This paper presents an assembly accuracy analysis model of deployable arms and applies the model to calculate assembly errors in tandem assembly process. In addition, a non-tandem assembly process is proposed based on the model. The experimental results show that the non-tandem assembly process can improve the assembly accuracy of deployable arms.

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An iterative method of statistical tolerancing based on the unified Jacobian–Torsor model and Monte Carlo simulation

Cited by 5 publications

References 21 publications

A New View of Multisensor Data Fusion: Research on Generalized Fusion

A New View of Multisensor Data Fusion: Research on Generalized Fusion

A quasi-Monte Carlo statistical three-dimensional tolerance analysis method of products based on edge sampling

Research on assembly accuracy of deployable arm based on Jacobian-Torsor model

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