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A Sustainable Product Multi-platform Planning Model for Assembly and Disassembly Process 针对组装和拆卸过程的可持续产品多平台规划模型
Pub Date : 2024-02-06 DOI: 10.1115/1.4064675
Guang-yu Zou, Zhongkai Li, Chao He
The development of product platform is an effective strategy to respond to dynamic market demands, decrease lead-time and delay products differentiation. However, the traditional product platform configuration method can not satisfy the sustainability requirements for modern products. To solve this problem, a sustainable product multi-platform (SPMP) model for assembly/ disassembly technology is proposed in this paper. The proposed SPMP model measures the energy consumption of module instances during the installation based on the platform-based assembly index (PAI) and platform-based disassembly index (PDI), and provides a multi-platform solution for the assembly of product family. To demonstrate the effectiveness of the proposed method, two product family cases are discussed. Simplified case shows that multi-objective particle swarm optimisation (MOPSO) algorithm has stronger optimisation ability than linear programming method in reducing product processing cost. The hair dryer family case demonstrates that the proposed method reduces the energy consumption during assembly by linking sustainability to product design.
开发产品平台是应对动态市场需求、缩短交付周期和延迟产品差异化的有效策略。然而,传统的产品平台配置方法无法满足现代产品的可持续性要求。为解决这一问题,本文提出了一种装配/拆卸技术的可持续产品多平台(SPMP)模型。所提出的 SPMP 模型基于基于平台的装配指数(PAI)和基于平台的拆卸指数(PDI)来衡量模块实例在安装过程中的能耗,并为产品家族的装配提供了一种多平台解决方案。为了证明所提方法的有效性,我们讨论了两个产品系列案例。简化案例表明,在降低产品加工成本方面,多目标粒子群优化(MOPSO)算法比线性规划方法具有更强的优化能力。吹风机系列案例表明,建议的方法通过将可持续性与产品设计联系起来,减少了组装过程中的能源消耗。
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引用次数: 0
MeshPointNet: 3D Surface Classification Using Graph Neural Networks and Conformal Predictions on Mesh-Based Representations MeshPointNet:使用图形神经网络和基于网格表征的共形预测进行三维表面分类
Pub Date : 2024-02-06 DOI: 10.1115/1.4064673
Amin Heyrani Nobari, Justin Rey, S. Kodali, Matthew Jones, Faez Ahmed
In many design automation applications, accurate segmentation and classification of 3D surfaces and extraction of geometric insight from 3D models can be pivotal. This paper primarily introduces a machine learning-based scheme that leverages Graph Neural Networks (GNN) for handling 3D geometries, specifically for surface classification. Our model demonstrates superior performance against two state-of-the-art models, PointNet++ and PointMLP, in terms of surface classification accuracy, beating both models. Central to our contribution is the novel incorporation of conformal predictions, a method that offers robust uncertainty quantification and handling with marginal statistical guarantees. Unlike traditional approaches, conformal predictions enable our model to ensure precision, especially in challenging scenarios where mistakes can be highly costly. This robustness proves invaluable in design applications, and as a case in point, we showcase its utility in automating the Computational Fluid Dynamics (CFD) meshing process for aircraft models based on expert guidance. Our results reveal that our automatically generated mesh, guided by the proposed rules by experts enabled through the segmentation model, is not only efficient but matches the quality of expert-generated meshes, leading to accurate simulations. For the community's benefit, we have made our code and data available at https://github.com/ahnobari/AutoSurf Upon paper acceptance.
在许多设计自动化应用中,准确分割和分类三维表面以及从三维模型中提取几何洞察力至关重要。本文主要介绍一种基于机器学习的方案,该方案利用图形神经网络(GNN)处理三维几何图形,特别是曲面分类。与 PointNet++ 和 PointMLP 这两种最先进的模型相比,我们的模型在曲面分类准确性方面表现出更优越的性能,击败了这两种模型。保形预测是我们的核心贡献,这种方法提供了稳健的不确定性量化和处理,并具有边际统计保证。与传统方法不同,保形预测使我们的模型能够确保精度,尤其是在具有挑战性的场景中,因为在这些场景中,错误的代价可能非常高昂。这种鲁棒性在设计应用中证明是无价之宝,作为一个例子,我们展示了它在基于专家指导的飞机模型计算流体动力学(CFD)网格自动生成过程中的实用性。我们的研究结果表明,在专家通过细分模型提出的规则指导下,我们自动生成的网格不仅高效,而且与专家生成的网格质量相当,从而实现了精确的模拟。为了社区的利益,我们在论文接受后将代码和数据公布在 https://github.com/ahnobari/AutoSurf 网站上。
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引用次数: 0
A Comparative Analysis of Student Perceptions of Recommendations for Engagement in Design Processes 学生对参与设计过程的建议的比较分析
Pub Date : 2024-02-06 DOI: 10.1115/1.4064671
K. Dugan, Shanna Daly
Engineering designers are tasked with increasingly complex problems necessitating the use and development of various supports for navigating complexity. Prescriptive design process models are one such tool. However, little research has explored how engineering designers perceive these models' recommendations for engagement in design work. In this initial exploratory study, we analyzed data from 18 individual semi-structured interviews with mechanical engineering students to identify participant perceptions. As many design process model visualizations lack explicit attention to some social and contextual dimensions, we sought to compare perceptions among two drawn from engineering texts and one that was developed with the intent to emphasize social dimensions. We identified five salient areas of participant perceptions of the design process models. Perceptions of the process models related to what designers should do (starting and moving through a design process, gathering information, prototyping, and evaluating or testing) and what they should consider (aspects of focus). Our collection of participant perceptions across the three process models suggests different design process models make perceptions of certain recommendations more salient than others. However, participant perceptions also varied for the same process model. We suggest several implications for design education and training based on participant perceptions of these three process models, particularly the importance of leveraging multiple design process models. The comprehensive descriptions of participant perceptions across five areas of design work provided through our initial study provide a foundation for further investigations bridging designers' perceptions to intent to behavior and, ultimately, design outcomes.
工程设计人员的任务是解决日益复杂的问题,因此有必要使用和开发各种辅助工具,以驾驭复杂性。规范性设计流程模型就是这样一种工具。然而,很少有研究探讨工程设计师如何看待这些模型对参与设计工作的建议。在这项初步探索性研究中,我们分析了来自机械工程专业学生的 18 个半结构式访谈数据,以确定参与者的看法。由于许多设计过程模型可视化并没有明确关注某些社会和背景维度,我们试图比较两种从工程文本中提取的模型和一种以强调社会维度为目的而开发的模型之间的感知。我们确定了参与者对设计过程模型认知的五个突出领域。对流程模型的看法涉及设计者应该做什么(设计流程的开始和推进、收集信息、原型设计、评估或测试)以及他们应该考虑什么(关注的方面)。我们收集了参与者对三种流程模式的看法,结果表明,不同的设计流程模式会使参与者对某些建议的看法比对其他建议的看法更为突出。然而,对于相同的流程模式,参与者的看法也各不相同。根据参与者对这三种流程模式的看法,我们对设计教育和培训提出了一些启示,尤其是利用多种设计流程模式的重要性。我们的初步研究全面描述了参与者对设计工作五个领域的看法,这为进一步的研究奠定了基础,可以将设计师的看法与设计意图、设计行为以及最终的设计成果联系起来。
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引用次数: 0
Mapping Novice Designer Behavior to Design Fixation in the Early-Stage Design Process 新手设计师行为与早期设计过程中设计固定化的映射
Pub Date : 2024-02-01 DOI: 10.1115/1.4064649
Miao Jia, Shuo Jiang, Jin Qi, Jie Hu
In the engineering design process, design fixation significantly constrains the diversity of design solutions. Numerous studies have aimed to mitigate design fixation, yet determining its occurrence in real-time remains a challenge. This research seeks to systematically identify the emergence of fixation through the behavior of novice designers in the early stages of the design process. We conducted a laboratory study, involving 50 novice designers possessing engineering drafting skills. Their design processes were monitored via video cameras, with both their design solutions and physical behaviors recorded. Subsequently, expert evaluators categorized design solutions into three types: Fixation, Low-quality, and Innovative. We manually recorded the names and durations of 31 different physical behaviors observed in the videos, which were then coded and filtered. From this, four fixation behaviors were identified using variance analysis (ANOVA): Touch Mouth (TM), Touch Head (TH), Rest Head in Hands (RH), and Hold Face in Hands (HF). Our findings suggest that continuous interaction between the hand and head, mouth, or face can be indicative of a fixation state. Finally, we developed a Behavior-Fixation model based on the Support Vector Machine (SVM) for stage fixation judgment tasks, achieving an accuracy rate of 85.6%. This machine learning model outperforms manual assessment in speed and accuracy. Overall, our study offers promising prospects for assisting designers in recognizing and avoiding design fixation. These findings, coupled with our proposed computational techniques, provide valuable insights for the development of automated and intelligent design innovation systems.
在工程设计过程中,设计固定化极大地限制了设计方案的多样性。许多研究都旨在缓解设计固定化,但实时确定设计固定化的发生仍然是一个挑战。本研究试图通过新手设计师在设计过程早期阶段的行为,系统地识别固定化的出现。我们进行了一项实验室研究,涉及 50 名具备工程制图技能的新手设计师。他们的设计过程通过摄像机进行监控,其设计方案和身体行为都被记录下来。随后,专家评估员将设计方案分为三种类型:固定型、低质量型和创新型。我们手动记录了在视频中观察到的 31 种不同物理行为的名称和持续时间,然后对其进行编码和筛选。在此基础上,通过方差分析(ANOVA)确定了四种固定行为:触摸嘴部 (TM)、触摸头部 (TH)、将头部放在手中 (RH) 和将脸部放在手中 (HF)。我们的研究结果表明,手和头、嘴或脸之间的持续互动可以表明一种固定状态。最后,我们开发了一个基于支持向量机(SVM)的行为-定格模型,用于阶段性定格判断任务,准确率达到 85.6%。这一机器学习模型在速度和准确性上都优于人工评估。总之,我们的研究为协助设计师识别和避免设计固定提供了广阔的前景。这些发现与我们提出的计算技术相结合,为开发自动化智能设计创新系统提供了宝贵的见解。
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引用次数: 0
Mapping Novice Designer Behavior to Design Fixation in the Early-Stage Design Process 新手设计师行为与早期设计过程中设计固定化的映射
Pub Date : 2024-02-01 DOI: 10.1115/1.4064649
Miao Jia, Shuo Jiang, Jin Qi, Jie Hu
In the engineering design process, design fixation significantly constrains the diversity of design solutions. Numerous studies have aimed to mitigate design fixation, yet determining its occurrence in real-time remains a challenge. This research seeks to systematically identify the emergence of fixation through the behavior of novice designers in the early stages of the design process. We conducted a laboratory study, involving 50 novice designers possessing engineering drafting skills. Their design processes were monitored via video cameras, with both their design solutions and physical behaviors recorded. Subsequently, expert evaluators categorized design solutions into three types: Fixation, Low-quality, and Innovative. We manually recorded the names and durations of 31 different physical behaviors observed in the videos, which were then coded and filtered. From this, four fixation behaviors were identified using variance analysis (ANOVA): Touch Mouth (TM), Touch Head (TH), Rest Head in Hands (RH), and Hold Face in Hands (HF). Our findings suggest that continuous interaction between the hand and head, mouth, or face can be indicative of a fixation state. Finally, we developed a Behavior-Fixation model based on the Support Vector Machine (SVM) for stage fixation judgment tasks, achieving an accuracy rate of 85.6%. This machine learning model outperforms manual assessment in speed and accuracy. Overall, our study offers promising prospects for assisting designers in recognizing and avoiding design fixation. These findings, coupled with our proposed computational techniques, provide valuable insights for the development of automated and intelligent design innovation systems.
在工程设计过程中,设计固定化极大地限制了设计方案的多样性。许多研究都旨在缓解设计固定化,但实时确定设计固定化的发生仍然是一个挑战。本研究试图通过新手设计师在设计流程早期阶段的行为,系统地识别设计固定化的出现。我们进行了一项实验室研究,涉及 50 名具备工程制图技能的新手设计师。他们的设计过程通过摄像机进行监控,其设计方案和身体行为都被记录下来。随后,专家评估员将设计方案分为三种类型:固定型、低质量型和创新型。我们手动记录了在视频中观察到的 31 种不同物理行为的名称和持续时间,然后对其进行编码和筛选。在此基础上,通过方差分析(ANOVA)确定了四种固定行为:触摸嘴部 (TM)、触摸头部 (TH)、将头部放在手中 (RH) 和将脸部放在手中 (HF)。我们的研究结果表明,手和头、嘴或脸之间的持续互动可以表明一种固定状态。最后,我们开发了一个基于支持向量机(SVM)的行为-定格模型,用于阶段性定格判断任务,准确率达到 85.6%。这一机器学习模型在速度和准确性上都优于人工评估。总之,我们的研究为协助设计师识别和避免设计固定提供了广阔的前景。这些发现与我们提出的计算技术相结合,为开发自动化智能设计创新系统提供了宝贵的见解。
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引用次数: 0
Thermally Driven Multi-Objective Packing Optimization Using Acceleration Fields 利用加速场进行热驱动多目标包装优化
Pub Date : 2024-01-12 DOI: 10.1115/1.4064489
Connor Moffatt, Jae Sung Huh, Sangook Jun, Il Yong Kim
The packing optimization of three-dimensional components into a design space is a challenging and time-intensive task. Of particular concern is the thermal performance of the system, as tightly packed components typically exhibit poor heat dissipation performance which can result in overheating and system failure. As temperature modelling can be quite complex, there is growing demand in industry for software tools that aid designers in the packing process whilst considering heat transfer. This work outlines a novel multi-objective algorithm that considers temperature and thermal effects directly within the packing optimization process itself using thermal optimization objectives. In addition, the algorithm can consider functional objectives such as a desired center of mass position and minimizing rotational inertia. The algorithm packs components from initial to optimal positions within a design domain using a set of dynamic acceleration fields. There are multiple accelerations, each designed to improve the objective values for the systems (for example, minimize temperature variance). Component temperatures are calculated using thermal finite element analyses modelling conduction and natural convection. Forced convection is approximated via computational fluid dynamics simulations. Numerical results for two academic and one real-world case studies are presented to demonstrate the efficacy of the presented algorithm.
在设计空间内对三维组件进行包装优化是一项具有挑战性且耗时的任务。尤其值得关注的是系统的热性能,因为紧密封装的组件通常散热性能较差,可能导致过热和系统故障。由于温度建模可能相当复杂,工业界对软件工具的需求日益增长,这些软件工具可以在考虑热传导的同时,帮助设计人员进行封装。这项工作概述了一种新颖的多目标算法,该算法利用热优化目标,在包装优化过程中直接考虑温度和热效应。此外,该算法还能考虑功能目标,如理想的质心位置和最小化转动惯量。该算法使用一组动态加速度场,在设计域内将组件从初始位置打包到最佳位置。有多种加速度,每种加速度都旨在改善系统的目标值(例如,最小化温度差异)。元件温度是通过模拟传导和自然对流的热有限元分析计算得出的。强制对流通过计算流体动力学模拟进行近似。介绍了两个学术案例研究和一个实际案例研究的数值结果,以证明所介绍算法的有效性。
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引用次数: 0
A LITERATURE REVIEW ON STEWART-GOUGH PLATFORM CALIBRATIONS 关于斯图尔特-高夫平台校准的文献综述
Pub Date : 2024-01-12 DOI: 10.1115/1.4064487
Sourabh Karmakar, Cameron Turner
Researchers have studied Stewart platform-based Parallel Kinematic Machines (PKM) extensively for their fine control capabilities, for many applications including medicine, precision engineering machines, aerospace research, electronic chip manufacturing, automobile manufacturing, etc. These applications need micro and nano-level movement control in 3D space for the motions to be precise, complicated, and repeatable; a Stewart platform fulfills these challenges smartly. For this, the PKM must be more accurate than the specified application accuracy level and thus proper calibration for a PKM robot is crucial. Forward kinematics-based calibration for such hexapod machines becomes unnecessarily complex and inverse kinematics complete this task with much ease. To experiment different calibration techniques, various calibration approaches were implemented by using external instruments, constraining one or more motions of the system, and using extra sensors for auto or self-calibration. This survey paid attention to those key methodologies, their outcome, and important details related to inverse kinematic-based PKM calibrations. It was observed during this study that the researchers focused on improving the accuracy of the platform position and orientation considering the errors contributed by one source or multiple sources. The error sources considered are mainly kinematic and structural, in some cases, environmental factors also are reviewed, however, those calibrations are done under no-load conditions. This study aims to review the present state of the art in this field and highlight on the processes and errors considered for the calibration of Stewart platforms.
研究人员对基于 Stewart 平台的并联运动机械 (PKM) 的精细控制能力进行了广泛研究,其应用领域包括医疗、精密工程机械、航空航天研究、电子芯片制造、汽车制造等。这些应用需要在三维空间内进行微米级和纳米级运动控制,以实现精确、复杂和可重复的运动。为此,PKM 的精度必须高于指定的应用精度水平,因此对 PKM 机器人进行适当的校准至关重要。基于正向运动学的校准对于这类六足机器人来说变得过于复杂,而反向运动学则可以轻松完成这项任务。为了尝试不同的校准技术,我们采用了各种校准方法,包括使用外部仪器、限制系统的一个或多个运动,以及使用额外的传感器进行自动或自我校准。本次调查关注了这些关键方法、其结果以及与基于逆运动学的 PKM 校准相关的重要细节。在这项研究中,我们注意到研究人员将重点放在提高平台位置和方向的精确度上,同时考虑到一个或多个来源造成的误差。考虑的误差源主要是运动学和结构学,在某些情况下,也会审查环境因素,但这些校准都是在空载条件下进行的。本研究旨在回顾该领域的技术现状,并重点介绍校准 Stewart 平台时考虑的过程和误差。
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引用次数: 0
KULEX-Wrist: Design and Analysis of Linkage-Driven Exoskeleton for Wrist Assistance KULEX-Wrist:用于腕部辅助的联动驱动外骨骼的设计与分析
Pub Date : 2024-01-12 DOI: 10.1115/1.4064491
Man Bok Hong, Dukchan Yoon, Jaehyun Park, Keehoon Kim
This paper presents a wrist exoskeleton called the KULEX (KIST Upper-Limb EXoskeleton)-wrist for activities of daily living assistance of the elderly and the disabled. A novel linkage-based structure of the rotational mechanism with three degrees of freedom is proposed. The proposed wrist mechanism is composed of two PUS (Prismatic-Universal-Spherical) serial chains and one RRR (Revolute-Revolute-Revolute) spherical chain. Besides, a combination of a planar slider-crank and spherical four-bar linkages was employed as a driving mechanism for power transmission. Kinematic analysis was conducted to understand its working principle. Then, the dimensions of all the linkages were synthesized to meet the structural design suitable for the wearable exoskeleton and the transmission quality. In addition, motion twists and wrenches were geometrically derived. Finally, a prototype of the KULEX-wrist was designed, and then its performance of mechanical stiffness, motion capability, and power assistance was verified.
本文介绍了一种名为 KULEX(KIST 上肢外骨骼)的腕部外骨骼,用于帮助老年人和残疾人进行日常生活活动。本文提出了一种具有三个自由度的新型连杆式旋转机构结构。所提出的腕部机构由两条 PUS(棱柱形-通用-球形)串行链和一条 RRR(旋回-旋回-旋回)球形链组成。此外,还采用了平面滑块-曲柄和球形四杆连杆组合作为动力传输的驱动机构。为了解其工作原理,对其进行了运动学分析。然后,综合考虑所有连杆的尺寸,以满足适合可穿戴外骨骼的结构设计和传动质量。此外,还从几何角度推导了运动扭曲和扳手。最后,设计了 KULEX 腕的原型,并验证了其机械刚度、运动能力和动力辅助性能。
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引用次数: 0
Multi-Task Learning for Design under Uncertainty with Multi-Fidelity Partially Observed Information 利用多保真部分观测信息进行不确定性条件下设计的多任务学习
Pub Date : 2024-01-12 DOI: 10.1115/1.4064492
Yanwen Xu, Hao Wu, Zheng Liu, Pingfeng Wang, Yumeng Li
The assessment of system performance and identification of failure mechanisms in complex engineering systems often requires the use of computation-intensive finite element software or physical experiments, which are both costly and time-consuming. Moreover, when accounting for uncertainties in the manufacturing process, material properties, and loading conditions, the process of reliability-based design optimization (RBDO) for complex engineering systems necessitates the repeated execution of expensive tasks throughout the optimization process. To address this problem, this paper proposes a novel methodology for RBDO. Firstly, a multi-fidelity surrogate modeling strategy is presented, leveraging partially observed information (POI) from diverse sources with varying fidelity and dimensionality to reduce computational cost associated with evaluating expensive high-dimensional complex systems. Secondly, a multi-task surrogate modeling framework is proposed to address the concurrent evaluation of multiple constraints for each design point. The multi-task framework aids in the development of surrogate models and enhances the effectiveness of reliability analysis and design optimization. The proposed multi-fidelity multi-task machine learning model utilizes a Bayesian framework, which significantly improves the performance of the predictive model and provides uncertainty quantification of the prediction. Additionally, the model provides a highly accurate and efficient framework for reliability-based design optimization through knowledge sharing. The proposed method was applied to two design case studies. By incorporating POI from various sources, the proposed approach improves the accuracy and efficiency of system performance prediction, while simultaneously addressing the cost and complexity associated with the design of complex systems.
评估系统性能和识别复杂工程系统的失效机理通常需要使用计算密集型有限元软件或物理实验,这既昂贵又耗时。此外,在考虑制造工艺、材料特性和加载条件的不确定性时,基于可靠性的复杂工程系统优化设计(RBDO)过程需要在整个优化过程中重复执行昂贵的任务。为解决这一问题,本文提出了一种新颖的 RBDO 方法。首先,本文提出了一种多保真度代理建模策略,利用来自不同来源、不同保真度和维度的部分观测信息(POI),降低与评估昂贵的高维复杂系统相关的计算成本。其次,提出了一个多任务代理建模框架,以解决对每个设计点的多个约束条件进行并行评估的问题。多任务框架有助于开发代用模型,提高可靠性分析和设计优化的有效性。所提出的多保真度多任务机器学习模型利用贝叶斯框架,显著提高了预测模型的性能,并提供了预测的不确定性量化。此外,该模型还通过知识共享为基于可靠性的设计优化提供了一个高度准确和高效的框架。所提出的方法被应用于两个设计案例研究。通过纳入各种来源的 POI,所提出的方法提高了系统性能预测的准确性和效率,同时解决了与复杂系统设计相关的成本和复杂性问题。
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引用次数: 0
Bayesian-Optimized Riblet Surface Design for Turbulent Drag Reduction via Design-by-Morphing with Large Eddy Simulation 通过大涡流模拟逐形设计减少湍流阻力的贝叶斯优化里布里特表面设计
Pub Date : 2024-01-04 DOI: 10.1115/1.4064413
Sangjoon Lee, Haris Moazam Sheikh, Dahyun Daniel Lim, Grace X Gu, Philip S. Marcus
A computational approach is presented for optimizing new riblet surface designs in turbulent channel flow for drag reduction, utilizing Design-by-Morphing (DbM), Large Eddy Simulation (LES), and Bayesian Optimization (BO). The design space is generated using DbM to include a variety of novel riblet surface designs, which are then evaluated using LES to determine their drag-reducing capabilities. The riblet surface geometry and configuration are optimized for maximum drag reduction using the mixed-variable Bayesian optimization (MixMOBO) algorithm. A total of 125 optimization epochs are carried out, resulting in the identification of 3 optimal riblet surface designs that are comparable to or better than the reference drag reduction rate of 8 %. The Bayesian-optimized designs commonly suggest riblet sizes of around 15 wall units, relatively large spacing compared to conventional designs, and spiky tips with notches for the riblets. Our overall optimization process is conducted within a reasonable physical time frame with up to 12-core parallel computing and can be practical for fluid engineering optimization problems that require high-fidelity of computational design before materialization.
本文介绍了一种计算方法,利用逐形设计(DbM)、大涡模拟(LES)和贝叶斯优化(BO)对湍流通道流中的新型波纹管表面设计进行优化,以减少阻力。使用 DbM 生成的设计空间包括各种新型波纹表面设计,然后使用 LES 对其进行评估,以确定其减少阻力的能力。使用混合变量贝叶斯优化(MixMOBO)算法对波纹表面的几何形状和配置进行优化,以最大限度地减少阻力。共进行了 125 次优化,最终确定了 3 种最佳波纹管表面设计,其阻力降低率与 8% 的参考值相当或更好。贝叶斯优化设计通常建议波纹尺寸为 15 个壁面单位左右,与传统设计相比间距相对较大,波纹尖端为尖形,并带有凹槽。我们的整体优化过程是在合理的物理时间范围内进行的,最多可使用 12 核并行计算,可用于在实现之前需要高保真计算设计的流体工程优化问题。
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引用次数: 0
期刊
Journal of Mechanical Design
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