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A topology optimization method of composite laminate considering density change rate constraint 考虑密度变化率约束的复合材料层压板拓扑优化方法
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-08-01 DOI: 10.1007/s11081-024-09906-3
Yong Jiang, Pengwen Sun, Wenbo Sun, Lanting Zhang

To avoid the problem of alternating layers of different materials in the thickness aspect, a topology optimization method of composite laminate considering density change rate constraint is proposed. This method utilizes the density of a specific layer to constrain the upper limit of density for its neighboring layers, so that the relative density of the upper and lower layers is greater or less than the middle layers. The middle layers of the laminate are one material and the adjacent upper and lower layers are another material. The low-density material in the middle layers is taken as an example, the density of the specified layer in the design space is used to constrain the upper limit of the density of its adjacent layers. The middle layers are limited by the constraint strategy, and the relative density is smaller than that of the two sides. The purpose of replacing the middle layer where is in the design domain with low-density material can be effectively realized. The mathematical model for patch topology optimization of composite laminate considering density change rate constraint is established, and the reasonable space layout of fiber composite and low-density material is obtained by solving. The numerical example of the composite laminate and the wind turbine blade structure show that the optimized two-phase materials distribution follows the corresponding manufacturing constraints, and also reduces the total mass of the structure while ensuring the mechanical properties. And the mass of their structures are reduced while ensuring the mechanical properties. The feasibility and effectiveness of the method are verified.

为了避免不同材料层在厚度方面的交替问题,提出了一种考虑密度变化率约束的复合材料层压板拓扑优化方法。该方法利用特定层的密度来约束其相邻层的密度上限,从而使上层和下层的相对密度大于或小于中间层。层压板的中间层是一种材料,相邻的上层和下层是另一种材料。以中间层的低密度材料为例,设计空间中指定层的密度用于限制其相邻层的密度上限。中间层受到约束策略的限制,相对密度小于两侧的密度。这样就能有效实现用低密度材料替换设计域中的中间层的目的。建立了考虑密度变化率约束的复合材料层压板贴片拓扑优化数学模型,并通过求解得到了纤维复合材料与低密度材料的合理空间布局。复合材料层压板和风力涡轮机叶片结构的数值实例表明,优化后的两相材料分布遵循了相应的制造约束,在保证力学性能的同时也降低了结构的总质量。而在保证力学性能的前提下,其结构的质量也有所降低。验证了该方法的可行性和有效性。
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引用次数: 0
A modified derivative-free SQP-filter trust-region method for uncertainty handling: application in gas-lift optimization 用于处理不确定性的改进型无导数 SQP 过滤信任区域法:在天然气提升优化中的应用
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-07-29 DOI: 10.1007/s11081-024-09909-0
Muhammad Iffan Hannanu, Eduardo Camponogara, Thiago Lima Silva, Morten Hovd

We propose an effective algorithm for black-box optimization problems without derivatives in the presence of output constraints. The proposed algorithm is illustrated using a realistic short-term oil production case with complex functions describing system dynamics and output constraints. The results show that our algorithm provides feasible and locally near-optimal solutions for a complex decision-making problem under uncertainty. The proposed algorithm relies on building approximation models using a reduced number of function evaluations, resulting from (i) an efficient model improvement algorithm, (ii) a decomposition of the network of wells, and (iii) using a spectral method for handling uncertainty. We show, in our case study, that the use of the approximation models introduced in this paper can reduce the required number of simulation runs by a factor of 40 and the computation time by a factor of 2600 compared to the Monte Carlo simulation with similarly satisfactory results.

我们提出了一种有效的算法,用于解决存在输出约束条件的无导数黑箱优化问题。我们用一个现实的短期石油生产案例来说明所提出的算法,该案例具有描述系统动态和输出约束的复杂函数。结果表明,我们的算法为不确定条件下的复杂决策问题提供了可行且局部接近最优的解决方案。所提出的算法依赖于使用较少的函数评估次数来建立近似模型,这源于:(i) 高效的模型改进算法;(ii) 对油井网络的分解;(iii) 使用频谱法处理不确定性。我们的案例研究表明,与蒙特卡罗模拟相比,使用本文介绍的近似模型可将所需的模拟运行次数减少 40 倍,计算时间减少 2600 倍,结果同样令人满意。
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引用次数: 0
Correction: Two sufficient descent spectral conjugate gradient algorithms for unconstrained optimization with application 更正:无约束优化的两种充分下降谱共轭梯度算法及其应用
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-07-25 DOI: 10.1007/s11081-024-09905-4
Sulaiman Mohammed Ibrahim, Nasiru Salihu
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引用次数: 0
Optimization of straight-line driving torque vectoring for energy-efficient operation of electric vehicles with multiple motors and disconnect clutches 优化直线行驶扭矩矢量,实现多电机和断开离合器电动汽车的节能运行
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-07-17 DOI: 10.1007/s11081-024-09902-7
Branimir Škugor, Joško Deur, Weitian Chen, Yijing Zhang, Edward Dai

Battery electric vehicles with multiple motors are characterized by actuator redundancy, which calls for application of instantaneously optimized distribution of motor/wheel torques, thus minimizing the energy consumption, i.e., maximizing the vehicle range. If the e-motors are equipped with disconnect clutches, the energy saving potential becomes even higher due to the avoidance of drag of inactive electric motors. However, in this case optimization through time and predictive control techniques should be used to provide globally minimal energy consumption. To this end, the paper proposes the following modeling, optimization, and model predictive control method for straight-line driving mode: (i) a dynamic backward-looking model of electric vehicle propelled by disconnect clutch-equipped four wheel motors, which takes into account the clutch synchronization-related drivetrain transient loss; (ii) globally optimal, dynamic programming (DP)-based off-line optimization of e-motor torque and clutch state control trajectories, and (iii) a model predictive torque vectoring control (MPC) strategy. The MPC strategy is verified by simulation for various certification driving cycles, and the results are compared with the DP-optimal benchmark for different values of a user-defined weighting coefficient, which penalizes frequent clutch disconnects for improved durability. The DP optimization results reveal that the energy consumption reduction achieved through the disconnect clutch functionality is up to 7%, on top of up to 5% reduction achieved by torque distribution itself. The MPC control strategy relying on the prediction horizon of 10 steps approach the DP energy consumption benchmark within the margin of 1%.

配备多个电机的电池电动汽车具有执行器冗余的特点,这就要求对电机/车轮扭矩进行瞬时优化分配,从而最大限度地降低能耗,即最大限度地提高车辆续航能力。如果电动马达配备了断开离合器,由于避免了不活动电动马达的阻力,节能潜力会更大。不过,在这种情况下,应采用时间优化和预测控制技术,以提供全局最小能耗。为此,本文针对直线行驶模式提出了以下建模、优化和模型预测控制方法:(i) 考虑到与离合器同步相关的动力传动系统瞬态损耗的、由配备断开离合器的四轮电机驱动的电动汽车动态后视模型;(ii) 基于动态编程(DP)的全局最优电动电机扭矩和离合器状态控制轨迹离线优化;(iii) 模型预测扭矩矢量控制(MPC)策略。通过对各种认证驾驶周期进行仿真验证了 MPC 策略,并将结果与用户定义的加权系数的不同值的 DP 优化基准进行了比较。DP 优化结果表明,通过分离离合器功能实现的能耗降低高达 7%,而扭矩分配本身实现的能耗降低高达 5%。基于 10 步预测范围的 MPC 控制策略在 1%的余量内接近 DP 能耗基准。
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引用次数: 0
Sound field reconstruction using improved ℓ1-norm and the Cauchy penalty method 使用改进的 ℓ1 准则和考奇罚分法重建声场
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-07-12 DOI: 10.1007/s11081-024-09903-6
Huang Linsen, Hui Wangzeng, Yang Zhiyu, Xia Lihong, Zhang Hao, Zhang Wei

Automotive noise source identification is important for improving driving comfort and protecting people’s auditory health. However, the stable, accurate and fast identification of low-frequency target sound sources has always been a difficult problem in the field of automotive noise source identification and sound field reconstruction. To this end, a new sound field reconstruction method, 1-Cauchy plus, is proposed in this paper, which firstly utilizes the WBH method to derive the target equivalent source strength, which is then used as the initial value for the iteration, and solved by applying the 1-Cauchy sound field reconstruction method. This hybridization process endows the proposed method with better amplitude reconstruction and improves the reconstruction of the source signal, enabling it to reconstruct the target source more efficiently in low-frequency environments. The experimental results show that the proposed method is able to accurately reconstruct the low-frequency target sound source, which is of practical application value for automobile noise control and other fields.

汽车噪声源识别对于提高驾驶舒适性和保护人们的听觉健康非常重要。然而,如何稳定、准确、快速地识别低频目标声源一直是汽车噪声源识别和声场重建领域的难题。为此,本文提出了一种新的声场重建方法--ℓ1-Cauchy plus,它首先利用 WBH 方法得出目标等效声源强度,然后将其作为迭代的初始值,并通过应用 ℓ1-Cauchy 声场重建方法进行求解。这种混合过程使所提出的方法具有更好的振幅重构能力,并改善了声源信号的重构,使其能够在低频环境中更有效地重构目标声源。实验结果表明,所提出的方法能够准确地重建低频目标声源,在汽车噪声控制等领域具有实际应用价值。
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引用次数: 0
Forecasting the waste production hierarchical time series with correlation structure 预测具有相关结构的废物生产分层时间序列
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s11081-024-09898-0
Ivan Eryganov, Martin Rosecký, Radovan Šomplák, Veronika Smejkalová

Continuous increase in society’s prosperity causes overwhelming growth of the produced municipal solid waste. Circular economy initiatives help to solve this problem by creating closed production cycles, where the produced waste is recycled, or its energy is recovered. An embedment of such principles requires implementation of new waste management strategies. However, these novel strategies must be based on the accurate forecasts of future waste flows. Municipal solid waste production data demonstrate behavior of hierarchical time series. Among all possible approaches to hierarchical times series forecasting, this article is focused on the reconciliation of the base waste generation forecasts. The novel method, that is based on the game-theoretically optimal reconciliation of hierarchical time series, is presented. The modified approach enables to incorporate interdependencies between time series using correlation matrix and to obtain the forecasts corresponding to the unique solution of the optimization problem. The potential of the proposed abstract approach is demonstrated on the waste production data of paper, plastics (both primarily sorted by households), and mixed municipal solid waste from the Czech Republic.

社会的持续繁荣导致产生的城市固体废物急剧增加。循环经济倡议通过建立封闭的生产循环来帮助解决这一问题,即对产生的废物进行循环利用或回收其能量。要贯彻这些原则,就必须实施新的废物管理策略。然而,这些新战略必须建立在对未来废物流的准确预测之上。城市固体废物生产数据显示了分层时间序列的行为。在所有可能的分层时间序列预测方法中,本文主要关注基础废物产生量预测的协调。本文介绍了一种基于博弈论的分层时间序列最优调节的新方法。修改后的方法能够利用相关矩阵纳入时间序列之间的相互依存关系,并获得与优化问题的唯一解相对应的预测。所提出的抽象方法的潜力在捷克共和国的纸张、塑料(两者主要由家庭分类)和混合城市固体废物的废物生产数据上得到了证明。
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引用次数: 0
Computational analysis of expectile and deviation expectile portfolio optimization models 预期和偏差预期投资组合优化模型的计算分析
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1007/s11081-024-09900-9
Shalu, Amita Sharma, Ruchika Sehgal

Expectile has recently gained an admiration in the area of portfolio optimization (PO) mainly because of its unique property of being both coherent and elicitable function. Additionally, a PO model minimizing Expectile function as risk measure is a linear program under discrete time setting. With these favorable features, we aim to study and analyze the Expectile and its deviation counterpart, deviation Expectile (DExpectile) based PO models in comparison to much more popular PO models comprising Conditional Value-at-Risk (CVaR) and deviation CVaR (DCVaR). We first conduct sensitivity analysis of Expectile and DExpectile PO models with respect to their two model parameters, risk-return trade-off parameter and tail-risk trade-off parameter. Thereafter, we conduct a computational analysis among Expectile, DExpectile, CVaR, and DCVaR PO models on the basis of several performance indices. Empirical study of this paper is carried out over the sample data of S &P 500 (USA) with a sample period from 06 January 2015 to 07 June 2022. Numerical results show the favorable outcomes of Expectile PO model in comparison to the models DExpectile and DCVaR, whereas it performs better than CVaR model for many likely scenarios of model parameters. On many occasions, the model DExpectile dominates DCVaR in terms of mean return, risk measures, and financial ratios while it able to outperform model CVaR under some special cases of parameters. Therefore, our numerical findings hint that the Expectile based PO models can become potential competitors to CVaR based PO models in practice.

Expectile函数最近在投资组合优化(PO)领域备受推崇,这主要是因为它具有既连贯又可激发的独特性质。此外,将 Expectile 函数作为风险度量最小化的投资组合模型是离散时间设置下的线性程序。基于这些有利特征,我们旨在研究和分析基于 Expectile 及其偏差的对应模型--偏差 Expectile (DExpectile) 的 PO 模型,并将其与更流行的 PO 模型(包括条件风险值 (CVaR) 和偏差 CVaR (DCVaR))进行比较。我们首先对 Expectile 和 DExpectile PO 模型的两个模型参数(风险收益权衡参数和尾部风险权衡参数)进行敏感性分析。之后,我们根据几个性能指标对 Expectile、DExpectile、CVaR 和 DCVaR PO 模型进行了计算分析。本文对 S &P 500(美国)的样本数据进行了实证研究,样本期为 2015 年 1 月 6 日至 2022 年 6 月 7 日。数值结果表明,Expectile PO 模型与 DExpectile 和 DCVaR 模型相比结果更佳,而在模型参数的多种可能情况下,Expectile PO 模型的表现优于 CVaR 模型。在许多情况下,Dexpectile 模型在平均收益、风险度量和财务比率方面都优于 DCVaR 模型,而在某些参数的特殊情况下,它的表现也优于 CVaR 模型。因此,我们的数值研究结果表明,基于 Expectile 的 PO 模型在实践中可以成为基于 CVaR 的 PO 模型的潜在竞争对手。
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引用次数: 0
Non-intrusive polynomial chaos expansion for robust topology optimization of truss-like continuum under random loads 随机载荷下类桁架连续体鲁棒性拓扑优化的非侵入式多项式混沌扩展
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-06-27 DOI: 10.1007/s11081-024-09901-8
Xinze Guo, Kemin Zhou

This paper dedicates to presenting an uncertainty analysis framework for robust topology optimization (RTO) based on truss-like material model that integrates non-intrusive polynomial chaos expansion (PCE) approach. In this framework, the RTO problem is formulated as an optimization problem, which aims at minimizing both the expectancy and the standard derivation of the structural compliance with volume constraints. The magnitude and direction of load uncertainty are assumed to follow a Gaussian distribution independently. A standard non-intrusive PCE requires a large number of multivariate integrals to calculate the expansion coefficient. Therefore, response metrics such as structural compliance are efficiently characterized using the decoupling techniques based on the expansions of the uncertainty parameters. The mechanical analysis and uncertainty analysis are separated, so that the number of simulations in the original PCE procedure is greatly reduced for linear structures by means of superposition. The optimization is achieved by gradient-based methods. The appreciable accuracy and efficiency are validated by the Monte Carlo simulation. Three numerical examples are provided to demonstrate that the proposed method can lead to designs with completely different topologies and superior robustness compared to standard one.

本文基于类桁架材料模型,结合非侵入式多项式混沌扩展(PCE)方法,提出了一种用于鲁棒拓扑优化(RTO)的不确定性分析框架。在这一框架中,RTO 问题被表述为一个优化问题,其目的是最大限度地降低结构符合体积约束条件的期望值和标准推导值。荷载不确定性的大小和方向被假定为独立的高斯分布。标准的非侵入式 PCE 需要大量的多元积分来计算膨胀系数。因此,使用基于不确定性参数扩展的解耦技术,可以有效地表征结构顺应性等响应指标。机械分析和不确定性分析被分离开来,因此对于线性结构而言,通过叠加可以大大减少原始 PCE 程序中的模拟次数。优化是通过基于梯度的方法实现的。蒙特卡罗模拟验证了其显著的准确性和效率。我们提供了三个数值示例来证明,与标准方法相比,所提出的方法可以设计出完全不同的拓扑结构和卓越的鲁棒性。
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引用次数: 0
Online model adaptation in Monte Carlo tree search planning 蒙特卡洛树搜索规划中的在线模型调整
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-06-18 DOI: 10.1007/s11081-024-09896-2
Maddalena Zuccotto, Edoardo Fusa, Alberto Castellini, Alessandro Farinelli

We propose a model-based reinforcement learning method using Monte Carlo Tree Search planning. The approach assumes a black-box approximated model of the environment developed by an expert using any kind of modeling framework and it improves the model as new information from the environment is collected. This is crucial in real-world applications, since having a complete knowledge of complex environments is impractical. The expert’s model is first translated into a neural network and then it is updated periodically using data, i.e., state-action-next-state triplets, collected from the real environment. We propose three different methods to integrate data acquired from the environment with prior knowledge provided by the expert and we evaluate our approach on a domain concerning air quality and thermal comfort control in smart buildings. We compare the three proposed versions with standard Monte Carlo Tree Search planning using the expert’s model (without adaptation), Proximal Policy Optimization (a popular model-free DRL approach) and Stochastic Lower Bounds Optimization (a popular model-based DRL approach). Results show that our approach achieves the best results, outperforming all analyzed competitors.

我们提出了一种使用蒙特卡洛树搜索规划的基于模型的强化学习方法。该方法假定专家使用任何一种建模框架开发出一个黑箱环境近似模型,并在收集到新的环境信息后改进该模型。这在实际应用中至关重要,因为完全了解复杂环境是不切实际的。专家模型首先被转化为神经网络,然后利用从真实环境中收集到的数据(即状态-行动-下一状态三元组)对其进行定期更新。我们提出了三种不同的方法来整合从环境中获取的数据和专家提供的先验知识,并在智能建筑的空气质量和热舒适度控制领域对我们的方法进行了评估。我们将所提出的三种版本与使用专家模型的标准蒙特卡洛树搜索规划(无适应性)、近端策略优化(一种流行的无模型 DRL 方法)和随机下限优化(一种流行的基于模型的 DRL 方法)进行了比较。结果表明,我们的方法取得了最佳效果,优于所有分析过的竞争对手。
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引用次数: 0
Speed limits in traffic emission models using multi-objective optimization 使用多目标优化的交通排放模型中的速度限制
IF 2.1 3区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-06-18 DOI: 10.1007/s11081-024-09894-4
Simone Göttlich, Michael Herty, Alena Ulke

Climate change compels a reduction of greenhouse gas emissions, yet vehicular traffic still contributes significantly to the emission of air pollutants. Hence, in this paper we focus on the optimization of traffic flow while simultaneously minimizing air pollution using speed limits as controllable parameters. We introduce a framework of traffic emission models to simulate the traffic dynamic as well as the production and spread of air pollutants. We formulate a multi-objective optimization problem for the optimization of multiple aspects of vehicular traffic. The results show that multi-objective optimization can be a valuable tool in traffic emission modeling as it allows to find optimal compromises between ecological and economic objectives.

气候变化迫使人们减少温室气体的排放,但车辆交通仍然对空气污染物的排放有很大影响。因此,在本文中,我们将重点放在交通流量的优化上,同时利用速度限制作为可控参数,最大限度地减少空气污染。我们引入了交通排放模型框架来模拟交通动态以及空气污染物的产生和扩散。我们提出了一个多目标优化问题,用于优化车辆交通的多个方面。结果表明,多目标优化是交通排放建模的重要工具,因为它可以在生态目标和经济目标之间找到最佳折中方案。
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引用次数: 0
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