Parametric shape optimization techniques based on Meshless methods: A review

Daxini, Sachin D.; Prajapati, J. M.

doi:10.1007/s00158-017-1702-8

Cited by 22 publications

(11 citation statements)

References 114 publications

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“…; Wang, Zhang and Zhu (2016)]). More details of the parameterization can be found in the surveys of Haftka et al [Haftka and Grandhi (1986); Samareh (2001b); Daxini and Prajapati (2017)]. The two major advantages of using a parametric method for shape optimization lie in two major aspects: (i) to reduce the number of design variables; (ii) to improve the accuracy of shape sensitivity analysis.…”

Section: Parameterization Methods In Traditional Fem-based Shape Optimentioning

confidence: 99%

Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review

Wang¹,

Wang²,

Xia³

et al. 2018

CMES

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Isogeometric analysis (IGA), an approach that integrates CAE into conventional CAD design tools, has been used in structural optimization for 10 years, with plenty of excellent research results. This paper provides a comprehensive review on isogeometric shape and topology optimization, with a brief coverage of size optimization. For isogeometric shape optimization, attention is focused on the parametrization methods, mesh updating schemes and shape sensitivity analyses. Some interesting observations, e.g. the popularity of using direct (differential) method for shape sensitivity analysis and the possibility of developing a large scale, seamlessly integrated analysis-design platform, are discussed in the framework of isogeometric shape optimization. For isogeometric topology optimization (ITO), we discuss different types of ITOs, e.g. ITO using SIMP (Solid Isotropic Material with Penalization) method, ITO using level set method, ITO using moving morphable components (MMC), ITO with phase field model, etc., their technical details and applications such as the spline filter, multi-resolution approach, multi-material problems and stress constrained problems. In addition to the review in the last 10 years, the current developmental trend of isogeometric structural optimization is discussed.

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Section: Parameterization Methods In Traditional Fem-based Shape Optimentioning

confidence: 99%

Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review

Wang¹,

Wang²,

Xia³

et al. 2018

CMES

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“…Many different approaches of performing such optimization have been studied previously [11]. More advanced methods that do not require re-meshing at every iteration have also been developed [12], but these were not considered in this study. This research is restricted to a numerical simulation study with the main aim to investigate the feasibility of structuring and successfully solving the optimization problem.…”

Section: Optimizermentioning

confidence: 99%

Optimization Procedure and Toolchain for Roll Dynamic Geometry

2022

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In rolls manufactured from first bent and then welded sheets of steel, the asymmetric distribution of mass due to the weld seam as well as imperfections of the geometry due to the bending may cause the roll cross-section roundness profiles to deform due to centrifugal forces when the roll is accelerated to rotate at its operating speed. This effect is known as the dynamic geometry of the roll. In previous research, it has been shown that it is possible to measure the dynamic geometry in operating speed and compensate for the deformation by grinding a suitable opposite geometry on the roll. This direct approach may work when only little material is removed. Such conditions apply especially for polymer coated rolls, where the dynamic geometry is mostly dependent on the geometry of the much stronger and denser steel body under the roll cover. This paper goes further to investigate the possibilities for compensating the dynamic geometry in cases where the amount of removed material is significant enough to have an effect on the dynamic geometry itself due to altered mass and stiffness. The paper presents a toolchain consisting of a parametric roll CAD model, finite element simulation of the dynamic geometry and a geometry optimization procedure based on minimizing a target function describing roundness errors in cross-sections of the roll. Results of simulation experiments for a case example indicate that the presented optimization procedure can be used to eliminate roundness errors related to dynamic geometry of the roll. Finally, the paper discusses the application of such a toolchain in the manufacturing of rolls.

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“…The present framework relies on researches dealing with isogeometric shape optimization. A general procedure, which has been improved over the years is commonly adopted [21,89]. The key feature and asset of isogeometric shape optimization relies on the possibility to properly choose both optimization and analysis spaces [32,50,[65][66][67]75].…”

Section: A Multi-level Approachmentioning

confidence: 99%

“…It concerns not only structural shape optimization but also other fields as heat conduction [92], electromagnetics [20,68], fluid mechanics [73], and many other optimization problems. A general procedure, which has been improved over the years, is commonly adopted [21,89]. It is based on a multilevel design concept which consists in choosing different refinement levels of the same spline-based geometry to define both optimization and analysis spaces [39,50,67,88].…”

Section: Introductionmentioning

confidence: 99%

A New Lighting on Analytical Discrete Sensitivities in the Context of IsoGeometric Shape Optimization

Hirschler

Bouclier

Duval

et al. 2020

Arch Computat Methods Eng

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Isogeometric shape optimization has been now studied for over a decade. This contribution aims at compiling the key ingredients within this promising framework, with a particular attention to sensitivity analysis. Based on all the researches related to isogeometric shape optimization, we present a global overview of the process which has emerged. The principal feature is the use of two refinement levels of the same geometry: a coarse level where the shape updates are imposed and a fine level where the analysis is performed. We explain how these two models interact during the optimization, and especially during the sensitivity analysis. We present new theoretical developments, algorithms, and quantitative results regarding the analytical calculation of discrete adjoint-based sensitivities. In order to highlight the versatility of this sensitivity analysis method, we perform eight benchmark optimization examples with different types of objective functions (compliance, displacement field, stress field, and natural frequencies), different types of isogeometric element (2D and 3D standard solids, and a Kirchhoff-Love shell), and different types of structural analysis (static and vibration). The numerical performances of the analytical sensitivities are compared with approximate sensitivities. The results in terms of accuracy and numerical cost make us believe that the presented method is a viable strategy to build a robust framework for shape optimization.

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Parametric shape optimization techniques based on Meshless methods: A review

Cited by 22 publications

References 114 publications

Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review

Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review

Optimization Procedure and Toolchain for Roll Dynamic Geometry

A New Lighting on Analytical Discrete Sensitivities in the Context of IsoGeometric Shape Optimization

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