Compliant assembly variation analysis of thin-walled structures based on the absolute nodal coordinate formulation

Yu, Haidong; Zhao, Chao; Zheng, Bin; Wang, Hao

doi:10.1108/aa-05-2016-046

Cited by 5 publications

(5 citation statements)

References 37 publications

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“…To precisely describe the general typical bending and torsion deviations, a new ANCF irregular quadrilateral plate element (Yu et al , 2018) was proposed to discretize the thin-walled structures as shown in Figure A4. The coupling effect within the cross-sectional deformation could be settled using the high-order slope coordinates, which satisfies the requirement of deviation analysis for thin-walled structures.…”

Section: Force Equilibrium Equations Of System Via Absolute Nodal Coordinate Formulationmentioning

confidence: 99%

“…The explicit expression of equation (7) is very complex. The detailed process can refer to (Yu et al , 2018). The GEFs Q A is a nonlinear function of nodal coordinates e and contains all the mechanical behavior of material.…”

Section: Force Equilibrium Equations Of System Via Absolute Nodal Coordinate Formulationmentioning

confidence: 99%

“…A new irregular quadrilateral plate element was proposed and validated based on the ANCF to model the scalloped segment plates with shape deviations (Yu et al , 2018). The correlations were also investigated between the assembly quality and the bending deviation, geometrical parameters and material properties of structures.…”

Section: Introductionmentioning

confidence: 99%

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Compliant assembly deviation analysis of large-scale thin-walled structures in different clamping schemes via ANCF

et al. 2019

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Purpose The structure stiffness is greatly affected by the fixture constraints during assembly due to the flexibility of large-scale thin-walled structures. The compliant deformation of structures is usually not consistent for the non-uniform stiffness in various clamping schemes. The purpose of this paper is to investigate the correlation between the assembly quality and the clamping schemes of structures with various initial deviations and geometrical parameters, which is based on the proposed irregular quadrilateral plate element via absolute nodal coordinate formulation (ANCF). Design/methodology/approach Two typical clamping schemes are specified for the large-scale thin-walled structures. Two typical deviation modes are defined in both free and clamping states in the corresponding clamping schemes. The new irregular quadrilateral plate element via ANCF is validated to analyze the compliant deformation of assembled structures. The quasi-static force equilibrium equations are extended considering the factors of clamping constraints and geometric deviations. Findings The initial deviations and geometrical parameters strongly affect the assembly deviations of structures in two clamping schemes. The variation tendencies of assembly deviations are demonstrated in details with the circumferential clamping position and axial clamping position in two clamping schemes, providing guidance to optimize the fixture configuration. The assembly quality of structures with deviations can be improved by configuration synthesis of the clamping schemes. Originality/value Typical over-constraint clamping schemes and deviation modes in clamping states are defined for large-scale thin-walled structures. The plate element via ANCF is extended to analyze the assembly deviations of thin-walled structures in various clamping schemes. Based on the proposed theoretical model, the effects of clamping schemes and initial deviations on the deformation and assembly deviation propagation of structures are investigated.

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Section: Force Equilibrium Equations Of System Via Absolute Nodal Coordinate Formulationmentioning

confidence: 99%

Section: Force Equilibrium Equations Of System Via Absolute Nodal Coordinate Formulationmentioning

confidence: 99%

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Compliant assembly deviation analysis of large-scale thin-walled structures in different clamping schemes via ANCF

et al. 2019

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“…Liu et al 42 proposed a nonlinear variation model (NVM) to consider the geometric nonlinearity, welding shrinkage, and angular distortion based on elastic mechanics. Yu et al 43,44 proposed a new irregular quadrilateral plate element based on the absolute nodal coordinate formulation (ANCF) to discretize the scalloped segment plates with shape deviations.…”

Section: Introductionmentioning

confidence: 99%

Compliant assembly variation modeling for thin-walled structures considering clamping constraints and geometric deviations based on isogeometric analysis

Liu,

Li,

Liu

et al. 2024

Int J Adv Manuf Technol

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Geometric deviations and clamping constraints are the two major variation factors in thin-walled structure assembly processes. Geometric deviations are caused by inevitable uncertainties in manufacturing processes and have a significant impact on dimensional control for compliant assembly processes. Due to the flexibility of thin-walled structures, the clamping constraints during assembly greatly affect the compliant deformation of assembled structures. In this paper, a new method based on isogeometric analysis (IGA) considering geometric deviations and clamping constraints is proposed. The geometric deviations of thin-walled structures can be obtained by offsetting along the control points in an ideal part based on Nonuniform Rational B-Splines (NURBS), and the clamping constraints, such as fixture positioning deviations and connection matching deviations, are converted into displacement boundary conditions by the Lagrange multiplier method. Furthermore, the elastic force induced by initial geometric deviations is calculated using Kirchhoff-Love shell elements. Considering the coordination constraint relationship between shape closure and force closure in the compliant assembly process, a variation propagation model is developed using NURBS-based IGA. It integrates geometric deviations and compliant deformations into a unified mathematical representation framework by embedding exact geometry into assembly analysis. In addition, a numerical example is presented to demonstrate the accuracy and effectiveness of the developed method.

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“…Yu et al. 23 used the shell element via the absolute nodal coordinate formulation to model the curved thin-walled structures, and the effects of the deviation forms, geometrical parameters and material properties on assembly quality of the thin-walled structures were investigated numerically.…”

Section: Introductionmentioning

confidence: 99%

Assembly variation analysis of the aircraft panel in multi-stage assembly process with N-2-1 locating scheme

Huo

Wang

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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The flexible aircraft panel parts are easy to deform during the assembly process, the deformation can directly affect the assembly accuracy of the aircraft panel, and further affect the assembly quality of the aircraft fuselage. In order to evaluate the assembly accuracy of the aircraft panel in multi-stage assembly process with N-2-1 locating scheme, this paper proposes an assembly variation analyzing approach, considering the effect of the contact force between the panel skin and the fixture components on the deformation of the panel in the assembly process. The mathematical models are established to conclude the contact force between the panel skin and the fixture components in multi-stage assembly process of the panel with N-2-1 locating scheme, and the effect of the contact force between the skin and the fixture components on the deformation of the panel in assembly is investigated. An assembly variation model is built for the aircraft panel considering the variation sources including the manufacturing error of the flexible panel parts, fixture error, and the deformation of the panel in multi-stage assembly process considering the effect of the contact force. Finally, the proposed assembly variation analyzing approach for the aircraft panel is tested with a case study.

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Compliant assembly variation analysis of thin-walled structures based on the absolute nodal coordinate formulation

Cited by 5 publications

References 37 publications

Compliant assembly deviation analysis of large-scale thin-walled structures in different clamping schemes via ANCF

Compliant assembly deviation analysis of large-scale thin-walled structures in different clamping schemes via ANCF

Compliant assembly variation modeling for thin-walled structures considering clamping constraints and geometric deviations based on isogeometric analysis

Assembly variation analysis of the aircraft panel in multi-stage assembly process with N-2-1 locating scheme

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