Comparison of Assembly Tolerance Analysis by the Direct Linearization and Modified Monte Carlo Simulation Methods

Gao, Jinsong; Chase, Kenneth W.; Magleby, Spencer P.

doi:10.1115/detc1995-0047

Cited by 32 publications

(6 citation statements)

References 5 publications

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“…The robust assembly tolerance design needs to determine the main influential factors. Commonly, tolerance limits are given in intervals in the format [21,+1] or [21.5,+1.5]; tolerance design is familiar with the worst-case method [26], root sum squares methods [27], and Monte Carlo methods [28,29]. Tolerance accumulation will belong to interval numbers by interval calculation.…”

Section: Knowledge-based Tolerance Allocation By Fuzzy Interval Calculationmentioning

confidence: 99%

Knowledge-based vehicle body conceptual assembly design

Chen

Lai

et al. 2008

Proceedings of the Institution of Mechanical Engineers, Part D:

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The paper discusses the architecture of a knowledge-based vehicle body conceptual assembly design system. The proposed system addresses problems when applying knowledgebased techniques to vehicle body design at the conceptual design stage and later stages. The paper mainly gives a proposed framework and organization of the conceptual assembly design system with the help of knowledge-based engineering, where it takes into integrated consideration the assembly sequence, joint configuration, and tolerance allocation in the autobody assembly design process planning. Heuristic knowledge and empirical knowledge play active roles in the generation of the assembly sequence and dimension chain, the configuration of joint types, and the allocation of tolerance limits, and qualitative simulation is knowledge reasoning or rule reasoning with all kinds of rule, criterion, and principle, so that the knowledge-based vehicle assembly design system can improve assembly concept quality by means of qualitative simulation to fulfil the concurrent integration between conceptual design and detail design stages.

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Section: Knowledge-based Tolerance Allocation By Fuzzy Interval Calculationmentioning

confidence: 99%

Knowledge-based vehicle body conceptual assembly design

Chen

Lai

et al. 2008

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…The standard method that allows taking into account assembly deviations is the direct Monte Carlo method, as described by Gao et al in [5]. The realizations of the initial deviations are obtained by generating random numbers from given distributions, and the modeling of the assembly process is carried out using the classical finite element method.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Tolerancing: Variation Simulation and Assembly Analysis with Regard to Contact Interaction of Parts

Lupuleac,

Petukhova,

Shinder

et al. 2024

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The variation analysis is a key tool for ensuring the high quality assembly in the process of developing the technology for manufacturing of aircraft parts. One of the main factors in variations is the deviations in the positioning procedure. This paper is devoted to the development of an approach that allows taking into account the variations during positioning and merging it with the special algorithm of contact problem solving. The impact of varied boundary conditions is incorporated into an additional vector of forces that can be interpreted as reactions to the shift of supports. The obtained results are illustrated with a case of wing-to-fuselage assembly.

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“…For the assembly variation analysis for rigid part assembly, the models include the Vector loop model (Gao et al ,1995; Chase, 1999), Torsor model (Bourdet et al ,1996; Vignat and Villeneuve, 2003; Takahashi et al , 2014), Matrix model (Whitney et al , 1994; Desrochers and Rivière, 1997), Jacobian-torsor model (Polini and Corrado, 2016; Desrochers et al , 2003; Corrado and Polini, 2017; Ding et al , 2021), Topological and technologically related surface (TTRS) model (Davidson et al , 2002; Mujezinovic et al , 2004; Ameta et al , 2011), T-map model (Jian et al , 2007; Mansuy et al , 2013) and skin model (Liu et al , 2019; Yi et al , 2021). The underlying assumptions made during the development of the above models are that all parts were assumed to be ideal rigid and cannot be deformed by any form of internal or external forces, only the translational and rotational deviations of parts and features caused by manufacturing variations were considered during the assembly process.…”

Section: Introductionmentioning

confidence: 99%

Assembly variation analysis of the non-rigid assembly with a deformation gradient model

Ajani

2021

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Purpose This paper aims to develop a mathematical method to analyze the assembly variation of the non-rigid assembly, considering the manufacturing variations and the deformation variations of the non-rigid parts during the assembly process. Design/methodology/approach First, this paper proposes a deformation gradient model, which represents the deformation variations during the assembly process by considering the forces and the self-weight of the non-rigid parts. Second, the developed deformation gradient models from the assembly process are integrated into the homogenous transformation matrix to model the deformation variations and manufacturing variations of the deformed non-rigid part. Finally, a mathematical model to analyze the assembly variation propagation is developed to predict the dimensional and geometrical variations due to the manufacturing variations and the deformation variations during the assembly process. Findings Through the case study with a crosshead non-rigid assembly, the results indicate that during the assembly process, the individual deformation values of the non-rigid parts are small. However, the cumulative deformation variations of all the non-rigid parts and the manufacturing variations present a target value (w) of −0.2837 mm as compared to a target value of −0.3995 mm when the assembly is assumed to be rigid. The difference in the target values indicates that the influence of the non-rigid part deformation variations during the assembly process on the mechanical assembly accuracy cannot be ignored. Originality/value In this paper, a deformation gradient model is proposed to obtain the deformation variations of non-rigid parts during the assembly process. The small deformation variation, which is often modeled using a finite-element method in the existing works, is modeled using the proposed deformation gradient model and integrated into the nominal dimensions. Using the deformation gradient models, the non-rigid part deformation variations can be computed and the accumulated deformation variation can be easily obtained. The assembly variation propagation model is developed to predict the accuracy of the non-rigid assembly by integrating the deformation gradient models into the homogeneous transformation matrix.

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Comparison of Assembly Tolerance Analysis by the Direct Linearization and Modified Monte Carlo Simulation Methods

Cited by 32 publications

References 5 publications

Knowledge-based vehicle body conceptual assembly design

Knowledge-based vehicle body conceptual assembly design

Nonlinear Tolerancing: Variation Simulation and Assembly Analysis with Regard to Contact Interaction of Parts

Assembly variation analysis of the non-rigid assembly with a deformation gradient model

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