An adaptive Bernstein-Bézier finite element method for heat transfer analysis in welding

Peng, Xuan; Xu, Gang; Zhou, Ao; Yang, Yong; Ma, Zhenwu

doi:10.1016/j.advengsoft.2020.102855

Cited by 14 publications

(4 citation statements)

References 24 publications

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“…In this way, the time taken from design to analysis is reduced, resulting in dramatic efficiency gains. Currently, IGA has been applied successfully in numerous fields, such as solid mechanics [46][47][48] , heat transfer analysis [49][50][51] fluid mechanics [52][53][54] , fluid-structure interaction (FSI) simulations [55][56][57] etc. Up until now, research efforts have focused on establishing a practical framework for achieving the concept of 'design through analysis', but there are still no comprehensive studies of potential applications of computer-aided tolerancing (CAT).…”

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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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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“…Kacimi et al [23] provided a Bernstein-Bézier FEM to solve short-wave problems on triangular meshes. In 2020, Peng [24] introduced a Bernstein-Bézier finite element method to simulate the heat transfer process during welding. When the mesh is locally refined, the rational basis function form is used to preserve the accuracy of the geometric shape.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solutions of Second-Order Elliptic Equations with C-Bézier Basis

Sun,

Su,

Pang

2024

Axioms

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This article introduces a finite element method based on the C-Bézier basis function for second-order elliptic equations. The trial function of the finite element method is set up using a combination of C-Bézier tensor product bases. One advantage of the C-Bézier basis is that it has a free shape parameter, which makes geometric modeling more convenience and flexible. The performance of the C-Bézier basis is searched for by studying three test examples. The numerical results demonstrate that this method is able to provide more accurate numerical approximations than the classical Lagrange basis.

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“…Using numerical simulation to analyze the welding process of large structural parts, the advantages of fnite element simulation in calculating the hardening properties of elastoplastic materials can be efectively used [14][15][16]. In practical engineering applications, welding deformation will often accompany the welding process [17,18].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation and Test Study on Track Welding of QTT

et al. 2023

Advances in Astronomy

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Considering the stringent requirement of the pointing accuracy up to 2.5″ of the world’s largest full steerable radio telescope, this paper studies the welding experiment of the azimuth track of the antenna. First, the opposite deformation jig and welding process were designed for the QTT’s azimuth track. Then, the welding process was numerically simulated using a finite element model. The simulation results show that a better welding effect will be obtained by appropriately reducing the opposite force on the basis of the original. The three deformation processes of the track are regulated by the opposite deformation jig. The results show that the opposite deformation jig designed for QTT’s azimuth track can make the amount of deformation and flatness meet the design requirements. Finally, nondestructive testing was carried out to check the welding quality of the track surface and interior. The results show that there are no obvious defects in the welds of the azimuth track. The constraint jig and welding processes designed for QTT are effective and feasible.

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An adaptive Bernstein-Bézier finite element method for heat transfer analysis in welding

Cited by 14 publications

References 24 publications

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

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

Numerical Solutions of Second-Order Elliptic Equations with C-Bézier Basis

Numerical Simulation and Test Study on Track Welding of QTT

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