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New design charts for evaluating the damage potential to RC frame buildings adjacent to deep excavations 用于评估深基坑附近钢筋混凝土框架建筑潜在破坏的新设计图表
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-02 DOI: 10.1108/ec-09-2023-0609
Fatemeh Tahmoures, Ali Ghanbari

Purpose

Urban excavations are a cause for concern in terms of the probability of damage to nearby structures. In this study, various structural and excavation parameters were investigated to determine the probability of building damage during excavations.

Design/methodology/approach

Finite-element analysis software was used to develop a set of valid three-dimensional models. Models were developed to assess the effects of structural parameters (building height and position relative to the excavation site) and excavation parameters (depth and support system type) on the responses of the adjacent buildings.

Findings

The new design charts estimated the damage to reinforced concrete frame buildings during excavation by focusing on the angular distortion of the building, additional shear strain on the masonry walls and additional strain and stress on columns. This study showed that the probability of damage decreased as the distance between the building and the excavation increased. By contrast, it increased when the building was located at a distance equal to the excavation depth at its edge. According to this study, the axial stress caused by the excavation of building columns does not exceed 10.9% of the compressive strength of the concrete.

Originality/value

The proposed design charts can replace comparable charts and provide a deeper understanding of damage potential based on key parameters. These charts are more practical than previous charts with limited parameters.

目的城市挖掘对附近结构造成破坏的可能性令人担忧。在这项研究中,对各种结构和挖掘参数进行了调查,以确定挖掘过程中建筑物受损的概率。研究结果新的设计图表通过关注建筑物的角度变形、砌体墙的额外剪应变以及柱子的额外应变和应力,估算了挖掘过程中钢筋混凝土框架建筑物的损坏情况。这项研究表明,随着建筑物与挖掘机之间距离的增加,损坏的概率也随之降低。与此相反,当建筑物位于与其边缘挖掘深度相等的距离时,损坏概率会增加。根据这项研究,建筑物支柱开挖造成的轴向应力不会超过混凝土抗压强度的 10.9%。这些图表比以往参数有限的图表更加实用。
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引用次数: 0
Obtaining analytical solutions of (2+1)-dimensional nonlinear Zoomeron equation by using modified F-expansion and modified generalized Kudryashov methods 用修正的 F 展开法和修正的广义库德里亚肖夫法求得 (2+1) 维非线性佐默伦方程的解析解
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-02 DOI: 10.1108/ec-10-2023-0688
Muslum Ozisik, A. Secer, Mustafa Bayram
<h3>Purpose</h3><p>The purpose of the article is to conduct a mathematical and theoretical analysis of soliton solutions for a specific nonlinear evolution equation known as the (2 + 1)-dimensional Zoomeron equation. Solitons are solitary wave solutions that maintain their shape and propagate without changing form in certain nonlinear wave equations. The Zoomeron equation appears to be a special model in this context and is associated with other types of solitons, such as Boomeron and Trappon solitons. In this work, the authors employ two mathematical methods, the modified F-expansion approach with the Riccati equation and the modified generalized Kudryashov’s methods, to derive various types of soliton solutions. These solutions include kink solitons, dark solitons, bright solitons, singular solitons, periodic singular solitons and rational solitons. The authors also present these solutions in different dimensions, including two-dimensional, three-dimensional and contour graphics, which can help visualize and understand the behavior of these solitons in the context of the Zoomeron equation. The primary goal of this article is to contribute to the understanding of soliton solutions in the context of the (2 + 1)-dimensional Zoomeron equation, and it serves as a mathematical and theoretical exploration of the properties and characteristics of these solitons in this specific nonlinear wave equation.</p><!--/ Abstract__block --><h3>Design/methodology/approach</h3><p>The article’s methodology involves applying specialized mathematical techniques to analyze and derive soliton solutions for the (2 + 1)-dimensional Zoomeron equation and then presenting these solutions graphically. The overall goal is to contribute to the understanding of soliton behavior in this specific nonlinear equation and potentially uncover new insights or applications of these soliton solutions.</p><!--/ Abstract__block --><h3>Findings</h3><p>As for the findings of the article, they can be summarized as follows: The article provides a systematic exploration of the (2 + 1)-dimensional Zoomeron equation and its soliton solutions, which include different types of solitons. The key findings of the article are likely to include the derivation of exact mathematical expressions that describe these solitons and the successful visualization of these solutions. These findings contribute to a better understanding of solitons in this specific nonlinear wave equation, potentially shedding light on their behavior and applications within the context of the Zoomeron equation.</p><!--/ Abstract__block --><h3>Originality/value</h3><p>The originality of this article is rooted in its exploration of soliton solutions within the (2 + 1)-dimensional Zoomeron equation, its application of specialized mathematical methods and its successful presentation of various soliton types through graphical representations. This research adds to the understanding of solitons in this specific nonlinear equation
目的 本文旨在对一个特定非线性演化方程(即 (2 + 1)-dimensional Zoomeron 方程)的孤子解进行数学和理论分析。孤子是在某些非线性波方程中保持形状和传播而不改变形式的孤波解。在这种情况下,佐默龙方程似乎是一个特殊的模型,并与其他类型的孤子(如 Boomeron 和 Trappon 孤子)相关联。在这项研究中,作者采用了两种数学方法,即里卡蒂方程的修正 F 展开方法和修正的广义库德里亚绍夫方法,推导出各种类型的孤子解。这些解包括扭结孤子、暗孤子、亮孤子、奇异孤子、周期奇异孤子和有理孤子。作者还从不同维度展示了这些解,包括二维、三维和等高线图形,这有助于直观地理解这些孤子在佐默伦方程中的行为。本文的主要目标是帮助人们理解 (2 + 1) 维佐默龙方程中的孤子解,并对这一特定非线性波方程中这些孤子的属性和特征进行数学和理论探索。设计/方法/途径本文的方法包括应用专门的数学技术分析和推导 (2 + 1) 维佐默龙方程的孤子解,然后以图形的方式展示这些解。总体目标是促进对这一特定非线性方程中孤子行为的理解,并有可能发现这些孤子解的新见解或应用:文章系统地探讨了 (2 + 1)-dimensional Zoomeron 方程及其孤子解,其中包括不同类型的孤子。文章的主要发现可能包括推导出描述这些孤子的精确数学表达式,以及这些解的成功可视化。这些发现有助于更好地理解这一特定非线性波方程中的孤子,有可能揭示它们在佐默龙方程中的行为和应用。原创性/价值这篇文章的原创性源于它对 (2 + 1) 维佐默龙方程中孤子解的探索、对专门数学方法的应用以及通过图形表示法对各种孤子类型的成功呈现。这项研究加深了人们对这一特定非线性方程中孤子的理解,并有可能为这一领域提供新的见解和应用。
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引用次数: 0
Computational study of a dorsolumbar complete burst fracture and its fixation methods 背腰椎完全爆裂性骨折及其固定方法的计算研究
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 DOI: 10.1108/ec-12-2023-0943
Rita Moura, Daniel Fidalgo, Dulce Oliveira, Ana Rita Reis, Bruno Areias, Luísa Sousa, João M. Gonçalves, Henrique Sousa, R.N. Natal Jorge, Marco Parente

Purpose

During a fall, a significant part of the major forces is absorbed by the dorsolumbar column area. When the applied stresses exceed the yield strength of the bone tissue, fractures can occur in the vertebrae. Vertebral fractures constitute one of the leading causes of trauma-related hospitalizations, accounting for 15% of all admissions. Posterior pedicle screw fixation has become a common method for treating burst fractures. However, physicians remain divided on the number of fixed segments that are needed to improve clinical outcomes. The present work aims to understand the biomechanical impact of different fixation methods, improving surgical treatments.

Design/methodology/approach

A finite element model of the dorsolumbar spine (T11–L3) section, including cartilages, discs and ligaments, was created. The dorsolumbar stability was tested by comparing two different surgical orthopedic treatments for a fractured first lumbar vertebra on the L1 vertebra: the posterior short segment fixation with intermediate screws (PSS) and the posterior long segment fixation (PL). Distinct loads were applied to represent daily activities.

Findings

Results show that both procedures provide acceptable segment fixation, with the PL offering less freedom of movement, making it more stable than the PSS. The PL approach can be the best choice for an unstable fracture as it leads to a stiffer spine segment.

Originality/value

This study introduces a novel computational model designed for the biomechanical analysis of dorsolumbar injuries, aiming to identify the optimal treatment approaches within both clinical and surgical contexts.

目的在跌倒时,主要力量的很大一部分由背腰椎部位吸收。当施加的应力超过骨组织的屈服强度时,椎骨就会发生骨折。椎体骨折是外伤住院的主要原因之一,占住院总人数的 15%。椎弓根后螺钉固定已成为治疗爆裂性骨折的常用方法。然而,医生们对提高临床疗效所需的固定节段数量仍存在分歧。本研究旨在了解不同固定方法对生物力学的影响,从而改进手术治疗方法。设计/方法/途径建立了背腰椎(T11-L3)部分的有限元模型,包括软骨、椎间盘和韧带。通过比较 L1 椎体上第一腰椎骨折的两种不同手术矫形方法:带中间螺钉的后方短节段固定(PSS)和后方长节段固定(PL),对背腰椎稳定性进行了测试。结果表明,这两种方法都能提供可接受的节段固定,PL 的活动自由度较小,因此比 PSS 更稳定。对于不稳定的骨折,PL 方法是最佳选择,因为它能使脊柱节段更加坚硬。
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引用次数: 0
A mechanism-based elasto-viscoplastic constitutive model for the creep deformation of martensitic heat-resistant steels 马氏体耐热钢蠕变变形的基于机理的弹塑性-粘塑性构成模型
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-28 DOI: 10.1108/ec-02-2024-0096
Jundong Yin, Baoyin Zhu, Runhua Song, Chenfeng Li, Dongfeng Li

Purpose

A physically-based elasto-viscoplastic constitutive model is proposed to examine the size effects of the precipitate and blocks on the creep for martensitic heat-resistant steels with both the dislocation creep and diffusional creep mechanisms considered.

Design/methodology/approach

The model relies upon the initial dislocation density and the sizes of M23C6 carbide and MX carbonitride, through the use of internal variable based governing equations to address the dislocation density evolution and precipitate coarsening processes. Most parameters of the model can be obtained from existing literature, while a small subset requires calibration. Based on the least-squares fitting method, the calibration is successfully done by comparing the modeling and experimental results of the steady state creep rate at 600° C across a wide range of applied stresses.

Findings

The model predictions of the creep responses at various stresses and temperatures, the carbide coarsening and the dislocation density evolution are consistent with the experimental data in literature. The modeling results indicate that considerable effect of the sizes of precipitates occurs only during the creep at relatively high stress levels where dislocation creep dominates, while the martensite block size effect happens during creep at relatively low stress levels where diffusion creep dominates. The size effect of M23C6 carbide on the steady creep rate is more significant than that of MX precipitate.

Originality/value

The present study also reveals that the two creep mechanisms compete such that at a given temperature the contribution of the diffusion creep mechanism decreases with increasing stress, while the contribution of the dislocation creep mechanism increases.

设计/方法/方法该模型依赖于初始位错密度以及 M23C6 碳化物和 MX 碳氮化物的尺寸,通过使用基于内部变量的控制方程来解决位错密度演变和沉淀粗化过程。模型的大部分参数可从现有文献中获得,只有一小部分需要校准。基于最小二乘法拟合方法,通过比较 600° C 时在各种施加应力下的稳态蠕变速率的建模和实验结果,成功地完成了校准。模型结果表明,只有在位错蠕变占主导地位的相对较高应力水平的蠕变过程中,析出物尺寸才会产生相当大的影响;而在扩散蠕变占主导地位的相对较低应力水平的蠕变过程中,马氏体块尺寸会产生影响。M23C6 碳化物的尺寸对稳定蠕变速率的影响比 MX 沉淀的影响更为显著。本研究还揭示了两种蠕变机制的竞争关系,即在给定温度下,扩散蠕变机制的贡献随应力的增加而减少,而位错蠕变机制的贡献则增加。
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引用次数: 0
A new two-step iterative technique for efficiently solving absolute value equations 高效求解绝对值方程的两步迭代新技术
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-28 DOI: 10.1108/ec-11-2023-0754
Nisar Gul, Haibo Chen, Javed Iqbal, Rasool Shah

Purpose

This work presents a new two-step iterative technique for solving absolute value equations. The developed technique is valuable and effective for solving the absolute value equation. Various examples are given to demonstrate the accuracy and efficacy of the suggested technique.

Design/methodology/approach

In this paper, we present a new two-step iterative technique for solving absolute value equations. This technique is very straightforward, and due to the simplicity of this approach, it can be used to solve large systems with great effectiveness. Moreover, under certain assumptions, we examine the convergence of the proposed method using various theorems. Numerical outcomes are conducted to present the feasibility of the proposed technique.

Findings

This paper gives numerical experiments on how to solve a system of absolute value equations.

Originality/value

Nowadays, two-step approaches are very popular for solving equations (1). For solving AVEs, Liu in Shams (2021), Ning and Zhou (2015) demonstrated two-step iterative approaches. Moosaei et al. (2015) introduced a novel approach that utilizes a generalized Newton’s approach and Simpson’s rule to solve AVEs. Zainali and Lotfi (2018) presented a two-step Newton technique for AVEs that converges linearly. Feng and Liu (2016) have proposed minimization approaches for AVEs and presented their convergence under specific circumstances. Khan et al. (2023), suggested a nonlinear CSCS-like technique and a Picard-CSCS approach. Based on the benefits and drawbacks of the previously mentioned methods, we will provide a two-step iterative approach to efficiently solve equation (1). The numerical results show that our proposed technique converges rapidly and provides a more accurate solution.

目的 这项工作提出了一种新的两步迭代技术,用于求解绝对值方程。所开发的技术对于求解绝对值方程既有价值又有效。本文提出了一种新的两步迭代技术,用于求解绝对值方程。这种技术非常简单直接,由于这种方法非常简单,因此可以用来求解大型系统,而且效果显著。此外,在某些假设条件下,我们利用各种定理检验了所提方法的收敛性。本文给出了如何求解绝对值方程组的数值实验。对于求解 AVE,Liu in Shams (2021)、Ning 和 Zhou (2015) 展示了两步迭代法。Moosaei 等人(2015 年)介绍了一种利用广义牛顿法和辛普森法则求解逆向方程的新方法。Zainali 和 Lotfi(2018 年)提出了一种线性收敛的两步牛顿技术来求解 AVE。Feng和Liu(2016)提出了AVE的最小化方法,并介绍了其在特定情况下的收敛性。Khan 等人(2023 年)提出了一种类似 CSCS 的非线性技术和一种 Picard-CSCS 方法。基于前述方法的优缺点,我们将提供一种两步迭代法来有效求解方程 (1)。数值结果表明,我们提出的技术收敛迅速,并能提供更精确的解法。
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引用次数: 0
Stiffness reliability analysis of harmonic drive considering contact pairs wear 考虑接触对磨损的谐波传动装置刚度可靠性分析
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-27 DOI: 10.1108/ec-11-2023-0897
Xian Zhang, Changming Zhang, Peng Wang, Fan Yang, Chunlei Peng

Purpose

The purpose of this paper is to analyze the stiffness reliability of harmonic drive (HD) considering contact pairs wear.

Design/methodology/approach

In terms of theoretical calculation, the contact pairs wear of HD are calculated based on Archard wear formula and the relative motion characteristics of contact pairs. According to the motion trajectory of flexspline teeth, the teeth backlash and the number of meshing teeth, the meshing stiffness and overall stiffness of HD are analyzed considering the wear and its randomness of contact pairs. Combined with Monte Carlo Simulation, the stiffness reliability evaluation method considering contact pairs wear is proposed, and the result of this method is verified by the stiffness reliability result deduced from the stiffness degradation measurement data.

Findings

Considering contact pairs wear, during operation, the teeth backlash increases, the number of meshing teeth decreases, the meshing stiffness decreases, ultimately leading to a gradual decrease in the overall stiffness of HD. When only one type of contact pair wear is considered, the influence of flexspline and circular spline contact pair wear on HD stiffness reliability is greater. Compared with the stiffness reliability evaluation results obtained from the stiffness degradation data in the literature, the mathematic expectation of stiffness degradation failure life distribution obtained from the proposed method is relatively bigger.

Originality/value

The stiffness reliability evaluation method of HD considering contact pairs wear is firstly proposed. The stiffness reliability evaluation result from theoretical calculation is verified by the stiffness reliability results deduced from HD stiffness degradation measurement.

设计/方法/步骤在理论计算方面,根据 Archard 磨损公式和接触对的相对运动特性计算谐波传动(HD)的接触对磨损。根据挠性齿的运动轨迹、齿间隙和啮合齿数,考虑接触对的磨损及其随机性,分析了 HD 的啮合刚度和整体刚度。结合蒙特卡罗模拟,提出了考虑接触对磨损的刚度可靠性评估方法,并通过刚度退化测量数据推导出的刚度可靠性结果对该方法的结果进行了验证。研究结果考虑到接触对磨损,在运行过程中,齿背间隙增加,啮合齿数减少,啮合刚度降低,最终导致 HD 整体刚度逐渐降低。如果只考虑一种接触对磨损,则挠性花键和圆花键接触对磨损对 HD 刚度可靠性的影响更大。与文献中根据刚度退化数据得到的刚度可靠性评价结果相比,本文提出的方法得到的刚度退化失效寿命分布的数学期望值相对较大。 原创性/价值 首次提出了考虑接触对磨损的 HD 刚度可靠性评价方法。理论计算得出的刚度可靠性评估结果通过 HD 刚度退化测量推导出的刚度可靠性结果得到了验证。
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引用次数: 0
Numerical approximation of parabolic singularly perturbed problems with large spatial delay and turning point 具有大空间延迟和转折点的抛物线奇异扰动问题的数值逼近
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-26 DOI: 10.1108/ec-09-2023-0534
Amit Sharma, Pratima Rai

Purpose

Singular perturbation turning point problems (SP-TPPs) involving parabolic convection–diffusion Partial Differential Equations (PDEs) with large spatial delay are studied in this paper. These type of equations are important in various fields of mathematics and sciences such as computational neuroscience and require specialized techniques for their numerical analysis.

Design/methodology/approach

We design a numerical method comprising a hybrid finite difference scheme on a layer-adapted mesh for the spatial discretization and an implicit-Euler scheme on a uniform mesh in the temporal variable. A combination of the central difference scheme and the simple upwind scheme is used as the hybrid scheme.

Findings

Consistency, stability and convergence are investigated for the proposed scheme. It is established that the present approach has parameter-uniform convergence of OΔτ+K2(lnK)2, where Δτ and K denote the step size in the time direction and number of mesh-intervals in the space direction.

Originality/value

Parabolic SP-TPPs exhibiting twin boundary layers with large spatial delay have not been studied earlier in the literature. The presence of delay portrays an interior layer in the considered problem’s solution in addition to twin boundary layers. Numerical illustrations are provided to demonstrate the theoretical estimates.

目的本文研究了涉及具有大空间延迟的抛物对流扩散偏微分方程(PDEs)的星状扰动转折点问题(SP-TPPs)。这类方程在计算神经科学等数学和科学的各个领域都很重要,需要专门的数值分析技术。我们设计了一种数值方法,包括在层适应网格上进行空间离散化的混合有限差分方案,以及在时间变量均匀网格上的隐式欧拉方案。研究结果研究了拟议方案的一致性、稳定性和收敛性。结果表明,本方法的参数均匀收敛性为 OΔτ+K-2(lnK)2,其中 Δτ 和 K 分别表示时间方向的步长和空间方向的网格间隔数。除了孪生边界层之外,延迟的存在还在所考虑问题的解中描绘了一个内部层。本文提供了数值图解来证明理论估算。
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引用次数: 0
A hybrid tool wear prediction model based on JDA 基于 JDA 的混合刀具磨损预测模型
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-25 DOI: 10.1108/ec-08-2023-0405
Hua Huang, Weiwei Yu, Jiajing Yao, Peidong Yang

Purpose

Aiming at solving the problems of low prediction accuracy and poor generalization caused by the difference in tool wear data distribution and the fixation of single global model parameters, a hybrid prediction modeling method for tool wear based on joint distribution adaptation (JDA) is proposed.

Design/methodology/approach

Firstly, JDA is exploited to adapt the data features with different data distributions. Then, the adapted data features are identified by the KNN classifier. Finally, according to the tool state classification results, different regression prediction models are assigned to different wear stages to complete the whole tool wear prediction task.

Findings

The results of milling experiments show that the maximum prediction accuracy of this method is 95.13%, and it has good recognition accuracy and generalization performance. Through the application of the tool wear hybrid prediction modeling method, the prediction accuracy and generalization performance of the model are improved and the tool monitoring is realized.

Originality/value

The research results can provide solutions and a theoretical basis for the application of tool wear monitoring technology in practical industrial applications.

设计/方法/途径首先,利用联合分布自适应(JDA)对不同数据分布的数据特征进行自适应。然后,利用 KNN 分类器识别适应后的数据特征。结果铣削实验结果表明,该方法的最大预测精度为 95.13%,具有良好的识别精度和泛化性能。通过刀具磨损混合预测建模方法的应用,提高了模型的预测精度和泛化性能,实现了对刀具的监测。研究成果可为刀具磨损监测技术在实际工业应用中提供解决方案和理论依据。
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引用次数: 0
Balanced task allocation and motion planning of a multi-robot system under fuzzy time windows 模糊时间窗下多机器人系统的平衡任务分配和运动规划
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-25 DOI: 10.1108/ec-09-2023-0612
Elias Xidias, Paraskevi Zacharia

Purpose

A fleet of mobile robots has been effectively used in various application domains such as industrial plant inspection. This paper proposes a solution to the combined problem of task allocation and motion planning problem for a fleet of mobile robots which are requested to operate in an intelligent industry. More specifically, the robots are requested to serve a set of inspection points within given service time windows. In comparison with the conventional time windows, our problem considers fuzzy time windows to express the decision maker’s satisfaction for visiting an inspection point.

Design/methodology/approach

The paper develops a unified approach to the combined problem of task allocation and motion planning for a fleet of mobile robots with three objectives: (a) minimizing the total travel cost considering all robots and tasks, (b) balancing fairly the workloads among robots and (c) maximizing the satisfaction grade of the decision maker for receiving the services. The optimization problem is solved by using a novel combination of a Genetic Algorithm with pareto solutions and fuzzy set theory.

Findings

The computational results illustrate the efficiency and effectiveness of the proposed approach. The experimental analysis leverages the potential for using fuzzy time windows to reflect real situations and respond to demanding situations.

Originality/value

This paper provides trade-off solutions to a realistic combinatorial multi-objective optimization problem considering concurrently the motion and path planning problem for a fleet of mobile robots with fuzzy time windows.

目的 移动机器人车队已在工业厂房检测等多个应用领域得到有效应用。本文针对要求在智能工业中运行的移动机器人车队,提出了任务分配和运动规划问题的综合解决方案。更具体地说,机器人需要在给定的服务时间窗口内为一组检测点提供服务。与传统的时间窗口相比,我们的问题考虑了模糊时间窗口,以表达决策者对访问检查点的满意度。 设计/方法/途径 本文针对移动机器人车队的任务分配和运动规划组合问题开发了一种统一的方法,该方法有三个目标:(a)考虑所有机器人和任务后的总旅行成本最小化;(b)公平地平衡机器人之间的工作量;(c)决策者对接受服务的满意度最大化。计算结果说明了所提方法的效率和有效性。实验分析充分利用了使用模糊时间窗反映真实情况和应对苛刻情况的潜力。 原创性/价值本文为一个现实的组合多目标优化问题提供了权衡解决方案,该问题同时考虑了具有模糊时间窗的移动机器人队的运动和路径规划问题。
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引用次数: 0
New computational approaches to the fractional coupled nonlinear Helmholtz equation 分数耦合非线性赫尔姆霍兹方程的新计算方法
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-18 DOI: 10.1108/ec-08-2023-0501
KangLe Wang

Purpose

The main aim of this paper is to investigate the fractional coupled nonlinear Helmholtz equation by two new analytical methods.

Design/methodology/approach

This article takes an inaugural look at the fractional coupled nonlinear Helmholtz equation by using the conformable derivative. It successfully finds new fractional periodic solutions and solitary wave solutions by employing methods such as the fractional method and the fractional simple equation method. The dynamics of these fractional periodic solutions and solitary wave solutions are then graphically represented in 3D with appropriate parameters and fractal dimensions. This research contributes to a deeper comprehension and detailed exploration of the dynamics involved in high dimensional solitary wave propagation.

Findings

The proposed two mathematical approaches are simple and efficient to solve fractional evolution equations.

Originality/value

The fractional coupled nonlinear Helmholtz equation is described by using the conformable derivative for the first time. The obtained fractional periodic solutions and solitary wave solutions are completely new.

目的本文的主要目的是通过两种新的分析方法研究分数耦合非线性亥姆霍兹方程。设计/方法/途径本文利用保角导数对分数耦合非线性亥姆霍兹方程进行了初步研究。文章采用分数法和分数简单方程法等方法,成功地找到了新的分数周期解和孤波解。然后,这些分数周期解和孤波解的动力学以适当参数和分形维数的三维图形表示。这项研究有助于更深入地理解和详细探索高维孤波传播所涉及的动力学问题。研究结果所提出的两种数学方法可以简单高效地求解分数演化方程。所得到的分数周期解和孤波解都是全新的。
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Engineering Computations
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