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Implementation of IDEAL algorithm based on Delaunay triangular mesh for 2D-compressible flows 基于德劳内三角网格的 IDEAL 算法在二维可压缩流中的应用
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-07 DOI: 10.1108/ec-02-2023-0071
Tian-Yu Wu, Jianfei Zhang, Yanjun Dai, Tao-Feng Cao, Kong Ling, Wen-Quan Tao

Purpose

To present the detailed implementation processes of the IDEAL algorithm for two-dimensional compressible flows based on Delaunay triangular mesh, and compare the performance of the SIMPLE and IDEAL algorithms for solving compressible problems. What’s more, the implementation processes of Delaunay mesh generation and derivation of the pressure correction equation are also introduced.

Design/methodology/approach

Programming completely in C++.

Findings

Five compressible examples are used to test the SIMPLE and IDEAL algorithms, and the comparison with measurement data shows good agreement. The IDEAL algorithm has much better performance in both convergence rate and stability over the SIMPLE algorithm.

Originality/value

The detail solution procedure of implementing the IDEAL algorithm for compressible flows based on Delaunay triangular mesh is presented in this work, seemingly first in the literature.

目的介绍基于 Delaunay 三角网格的二维可压缩流 IDEAL 算法的详细实现过程,并比较 SIMPLE 算法和 IDEAL 算法在解决可压缩问题时的性能。此外,还介绍了 Delaunay 网格生成和压力修正方程推导的实现过程。与 SIMPLE 算法相比,IDEAL 算法在收敛速度和稳定性方面都有更好的表现。独创性/价值本研究提出了基于 Delaunay 三角网格的可压缩流 IDEAL 算法的详细求解过程,这在文献中尚属首次。
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引用次数: 0
Hygrothermal buckling analysis of thin rectangular FGM plate with variable thickness 厚度可变的薄矩形 FGM 板的湿热屈曲分析
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-07 DOI: 10.1108/ec-09-2023-0601
Tasneem Firdous Islam, G.D. Kedar

Purpose

This paper aims to contribute novel insights into the analysis of thin functionally graded material (FGM) plates with variable thickness, considering both temperature-dependent and independent material properties, focusing on critical linear buckling temperature rise and the effect of critical linear moisture for various moisture concentrations.

Design/methodology/approach

The study derives stability and equilibrium equations for thin rectangular FGM plates under hygrothermal loading, employing classical plate theory (CPT). Buckling behavior is examined using Galerkin’s method to obtain pre-buckling force resultants.

Findings

The findings highlight significant increases in critical buckling temperature with aspect ratio, distinct temperature sensitivity between materials and increasing moisture susceptibility with larger aspect ratios. These insights inform material selection and design optimization for FGM plates under hygrothermal loading, enhancing engineering applications.

Research limitations/implications

This research primarily focuses on hypothetical scenarios and mathematical model development and analysis.

Originality/value

This paper presents original contributions in the field by addressing the hygrothermal buckling analysis of thin FGM rectangular plates with variable thickness, utilizing CPT, thereby enriching the understanding of structural behavior in varying environmental conditions.

目的 本文旨在为分析厚度可变的薄型功能分级材料 (FGM) 板贡献新见解,同时考虑与温度相关的和独立的材料特性,重点关注临界线性屈曲温升和各种湿度浓度下临界线性湿度的影响。研究结果研究结果表明,临界屈曲温度随长宽比的增加而显著提高,不同材料之间存在明显的温度敏感性,而且湿度敏感性随长宽比的增大而增加。研究局限性/意义本研究主要侧重于假设情景以及数学模型的开发和分析。原创性/价值本文利用 CPT 解决了厚度可变的薄 FGM 矩形板的湿热屈曲分析问题,从而丰富了对不同环境条件下结构行为的理解,为该领域做出了原创性贡献。
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引用次数: 0
A double-loop adaptive relevant vector machine combined with Harris Hawks optimization-based importance sampling 双环自适应相关向量机与基于哈里斯-霍克斯优化的重要性采样相结合
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-02 DOI: 10.1108/ec-10-2023-0672
Xin Fan, Yongshou Liu, Zongyi Gu, Qin Yao

Purpose

Ensuring the safety of structures is important. However, when a structure possesses both an implicit performance function and an extremely small failure probability, traditional methods struggle to conduct a reliability analysis. Therefore, this paper proposes a reliability analysis method aimed at enhancing the efficiency of rare event analysis, using the widely recognized Relevant Vector Machine (RVM).

Design/methodology/approach

Drawing from the principles of importance sampling (IS), this paper employs Harris Hawks Optimization (HHO) to ascertain the optimal design point. This approach not only guarantees precision but also facilitates the RVM in approximating the limit state surface. When the U learning function, designed for Kriging, is applied to RVM, it results in sample clustering in the design of experiment (DoE). Therefore, this paper proposes a FU learning function, which is more suitable for RVM.

Findings

Three numerical examples and two engineering problem demonstrate the effectiveness of the proposed method.

Originality/value

By employing the HHO algorithm, this paper innovatively applies RVM in IS reliability analysis, proposing a novel method termed RVM-HIS. The RVM-HIS demonstrates exceptional computational efficiency, making it eminently suitable for rare events reliability analysis with implicit performance function. Moreover, the computational efficiency of RVM-HIS has been significantly enhanced through the improvement of the U learning function.

目的确保结构的安全性非常重要。然而,当结构同时具有隐含的性能函数和极小的失效概率时,传统方法很难进行可靠性分析。因此,本文提出了一种可靠性分析方法,旨在利用广受认可的相关向量机(RVM)提高罕见事件分析的效率。设计/方法/途径本文借鉴重要性取样(IS)原理,采用哈里斯鹰优化(HHO)方法确定最佳设计点。这种方法不仅能保证精度,还能帮助 RVM 逼近极限状态面。当为克里金设计的 U 学习函数应用于 RVM 时,会导致实验设计(DoE)中的样本聚类。本文通过采用 HHO 算法,创新性地将 RVM 应用于 IS 可靠性分析,提出了一种称为 RVM-HIS 的新方法。RVM-HIS 具有极高的计算效率,非常适合隐含性能函数的罕见事件可靠性分析。此外,通过改进 U 学习函数,RVM-HIS 的计算效率也得到了显著提高。
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引用次数: 0
A new efficient two-step iterative method for solving absolute value equations 求解绝对值方程的新型高效两步迭代法
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-02 DOI: 10.1108/ec-11-2023-0781
Alamgir Khan, Javed Iqbal, Rasool Shah

Purpose

This study presents a two-step numerical iteration method specifically designed to solve absolute value equations. The proposed method is valuable and efficient for solving absolute value equations. Several numerical examples were taken to demonstrate the accuracy and efficiency of the proposed method.

Design/methodology/approach

We present a two-step numerical iteration method for solving absolute value equations. Our two-step method consists of a predictor-corrector technique. The new method uses the generalized Newton method as the predictor step. The four-point open Newton-Cotes formula is considered the corrector step. The convergence of the proposed method is discussed in detail. This new method is highly effective for solving large systems due to its simplicity and effectiveness. We consider the beam equation, using the finite difference method to transform it into a system of absolute value equations, and then solve it using the proposed method.

Findings

The paper provides empirical insights into how to solve a system of absolute value equations.

Originality/value

This paper fulfills an identified need to study absolute value equations.

目的 本研究提出了一种专门用于求解绝对值方程的两步数值迭代法。所提出的方法对于求解绝对值方程具有重要价值和效率。我们提出了一种求解绝对值方程的两步数值迭代法。我们的两步法由预测-修正技术组成。新方法使用广义牛顿法作为预测步骤。四点开放牛顿-科茨公式被视为校正步骤。本文详细讨论了所提方法的收敛性。这种新方法简单有效,对求解大型系统非常有效。我们考虑了梁方程,使用有限差分法将其转化为绝对值方程组,然后使用提出的方法求解。
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引用次数: 0
Analyzing the performance of hull and water jet propeller under mooring conditions: effects of shallow water depths and varying inflow speeds 分析系泊条件下船体和喷水推进器的性能:浅水深度和不同流速的影响
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-02 DOI: 10.1108/ec-05-2023-0238
Lingfei Zhang, Longfeng Hou, Yihao Tao

Purpose

Water jet propulsion is widely used in various military and civilian fields due to its advantages of simple structure and high propulsion efficiency. The process of mooring involves utilizing specially designed equipment to secure a ship at a designated berth. During the process of water jet propulsion, the single propeller operates within a complex and turbulent three-dimensional flow. Hence, studying the coupling between the water jet propeller and the hull is critical to comprehending the characteristics of the device and the distribution of the flow field in detail.

Design/methodology/approach

Firstly, we conducted computational fluid dynamics (CFD)-based self-propulsion calculations to evaluate the interaction between the hull and the propeller. We subsequently analyzed the propeller's performance and the forces acting on the hull to understand how the presence or absence of the hull influenced the water jet propeller. Finally, we performed calculations and analysis of the cavitation characteristics of the coupling between the hull and the water jet propeller, considering different rotational speeds and water depths at the bottom of the pool.

Findings

The study demonstrated that the presence of the hull boundary layer under the hull-propeller coupling condition led to reduced uniformity of propeller inlet flow and lower efficiency of the propulsion pump. However, it also increased the bias toward low-flow conditions. Additionally, increasing the impeller speed led to a gradual increase in the cavitation volume within the water jet propeller, resulting in a gradual decrease in the propeller's performance.

Originality/value

This research provides the technical support required for effective design and operation of water jet propulsion systems. This paper involves studying and analyzing the performance and flow field of the coupling between the hull and propeller under mooring conditions with a specified hull model.

目的喷水推进器因其结构简单、推进效率高等优点,被广泛应用于各种军事和民用领域。系泊过程是利用专门设计的设备将船舶固定在指定的泊位上。在喷水推进过程中,单个螺旋桨在复杂而湍急的三维流动中运行。因此,研究喷水推进器与船体之间的耦合对于详细了解该设备的特性和流场分布至关重要。首先,我们进行了基于计算流体动力学(CFD)的自推进计算,以评估船体与推进器之间的相互作用。随后,我们分析了螺旋桨的性能和作用在船体上的力,以了解有无船体对喷水推进器的影响。最后,考虑到不同的转速和池底水深,我们对船体与喷水推进器之间耦合的空化特性进行了计算和分析。研究结果研究表明,在船体与推进器耦合条件下,船体边界层的存在会导致推进器入口水流的均匀性降低,推进泵的效率降低。不过,这也增加了低流量条件下的偏差。此外,提高叶轮转速会导致喷水推进器内的空化体积逐渐增大,从而导致推进器的性能逐渐下降。本文涉及研究和分析特定船体模型在系泊条件下船体与螺旋桨之间耦合的性能和流场。
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引用次数: 0
Soft computing machine learning applications for assessing regional-scale landslide susceptibility in the Nepal Himalaya 应用软计算机器学习评估尼泊尔喜马拉雅地区的区域尺度滑坡易发性
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-05-02 DOI: 10.1108/ec-07-2023-0374
Bikesh Manandhar, Thanh-Canh Huynh, Pawan Kumar Bhattarai, Suchita Shrestha, Ananta Man Singh Pradhan

Purpose

This research is aimed at preparing landslide susceptibility using spatial analysis and soft computing machine learning techniques based on convolutional neural networks (CNNs), artificial neural networks (ANNs) and logistic regression (LR) models.

Design/methodology/approach

Using the Geographical Information System (GIS), a spatial database including topographic, hydrologic, geological and landuse data is created for the study area. The data are randomly divided between a training set (70%), a validation (10%) and a test set (20%).

Findings

The validation findings demonstrate that the CNN model (has an 89% success rate and an 84% prediction rate). The ANN model (with an 84% success rate and an 81% prediction rate) predicts landslides better than the LR model (with a success rate of 82% and a prediction rate of 79%). In comparison, the CNN proves to be more accurate than the logistic regression and is utilized for final susceptibility.

Research limitations/implications

Land cover data and geological data are limited in largescale, making it challenging to develop accurate and comprehensive susceptibility maps.

Practical implications

It helps to identify areas with a higher likelihood of experiencing landslides. This information is crucial for assessing the risk posed to human lives, infrastructure and properties in these areas. It allows authorities and stakeholders to prioritize risk management efforts and allocate resources more effectively.

Social implications

The social implications of a landslide susceptibility map are profound, as it provides vital information for disaster preparedness, risk mitigation and landuse planning. Communities can utilize these maps to identify vulnerable areas, implement zoning regulations and develop evacuation plans, ultimately safeguarding lives and property. Additionally, access to such information promotes public awareness and education about landslide risks, fostering a proactive approach to disaster management. However, reliance solely on these maps may also create a false sense of security, necessitating continuous updates and integration with other risk assessment measures to ensure effective disaster resilience strategies are in place.

Originality/value

Landslide susceptibility mapping provides a proactive approach to identifying areas at higher risk of landslides before any significant events occur. Researchers continually explore new data sources, modeling techniques and validation approaches, leading to a better understanding of landslide dynamics and susceptibility factors.

目的本研究旨在利用空间分析和基于卷积神经网络 (CNN)、人工神经网络 (ANN) 和逻辑回归 (LR) 模型的软计算机器学习技术,为滑坡易发性做准备。结果验证结果表明,CNN 模型的成功率为 89%,预测率为 84%。ANN 模型(成功率为 84%,预测率为 81%)比 LR 模型(成功率为 82%,预测率为 79%)更能预测滑坡。相比之下,CNN 被证明比逻辑回归更准确,并被用于最终的易损性预测。研究局限性/意义土地覆盖数据和地质数据在大范围内是有限的,这使得绘制准确而全面的易损性地图具有挑战性。这些信息对于评估这些地区的人类生命、基础设施和财产所面临的风险至关重要。社会影响滑坡易发区地图具有深远的社会影响,因为它为备灾、降低风险和土地使用规划提供了重要信息。社区可以利用这些地图来确定易受影响的地区,实施分区法规并制定疏散计划,最终保障生命和财产安全。此外,获取这些信息还能提高公众对滑坡风险的认识和教育,促进积极主动的灾害管理方法。然而,仅仅依靠这些地图也可能会产生虚假的安全感,因此需要不断更新并与其他风险评估措施相结合,以确保制定有效的抗灾战略。研究人员不断探索新的数据来源、建模技术和验证方法,从而更好地了解滑坡动态和易发因素。
{"title":"Soft computing machine learning applications for assessing regional-scale landslide susceptibility in the Nepal Himalaya","authors":"Bikesh Manandhar, Thanh-Canh Huynh, Pawan Kumar Bhattarai, Suchita Shrestha, Ananta Man Singh Pradhan","doi":"10.1108/ec-07-2023-0374","DOIUrl":"https://doi.org/10.1108/ec-07-2023-0374","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>This research is aimed at preparing landslide susceptibility using spatial analysis and soft computing machine learning techniques based on convolutional neural networks (CNNs), artificial neural networks (ANNs) and logistic regression (LR) models.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>Using the Geographical Information System (GIS), a spatial database including topographic, hydrologic, geological and landuse data is created for the study area. The data are randomly divided between a training set (70%), a validation (10%) and a test set (20%).</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>The validation findings demonstrate that the CNN model (has an 89% success rate and an 84% prediction rate). The ANN model (with an 84% success rate and an 81% prediction rate) predicts landslides better than the LR model (with a success rate of 82% and a prediction rate of 79%). In comparison, the CNN proves to be more accurate than the logistic regression and is utilized for final susceptibility.</p><!--/ Abstract__block -->\u0000<h3>Research limitations/implications</h3>\u0000<p>Land cover data and geological data are limited in largescale, making it challenging to develop accurate and comprehensive susceptibility maps.</p><!--/ Abstract__block -->\u0000<h3>Practical implications</h3>\u0000<p>It helps to identify areas with a higher likelihood of experiencing landslides. This information is crucial for assessing the risk posed to human lives, infrastructure and properties in these areas. It allows authorities and stakeholders to prioritize risk management efforts and allocate resources more effectively.</p><!--/ Abstract__block -->\u0000<h3>Social implications</h3>\u0000<p>The social implications of a landslide susceptibility map are profound, as it provides vital information for disaster preparedness, risk mitigation and landuse planning. Communities can utilize these maps to identify vulnerable areas, implement zoning regulations and develop evacuation plans, ultimately safeguarding lives and property. Additionally, access to such information promotes public awareness and education about landslide risks, fostering a proactive approach to disaster management. However, reliance solely on these maps may also create a false sense of security, necessitating continuous updates and integration with other risk assessment measures to ensure effective disaster resilience strategies are in place.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>Landslide susceptibility mapping provides a proactive approach to identifying areas at higher risk of landslides before any significant events occur. Researchers continually explore new data sources, modeling techniques and validation approaches, leading to a better understanding of landslide dynamics and susceptibility factors.</p><!--/ Abstract__block -->","PeriodicalId":50522,"journal":{"name":"Engineering Computations","volume":"63 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140831518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear dynamics analysis of electromechanical planetary gear systems with temperature effects considered 考虑温度效应的机电行星齿轮系统非线性动力学分析
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-30 DOI: 10.1108/ec-11-2023-0833
Jungang Wang, Xincheng Bi, Ruina Mo

Purpose

The electromechanical planetary transmission system has the advantages of high transmission power and fast running speed, which is one of the important development directions in the future. However, during the operation of the electromechanical planetary transmission system, friction and other factors will lead to an increase in gear temperature and thermal deformation, which will affect the transmission performance of the system, and it is of great significance to study the influence of the temperature effect on the nonlinear dynamics of the electromechanical planetary system.

Design/methodology/approach

The effects of temperature change, motor speed, time-varying meshing stiffness, meshing damping ratio and error amplitude on the nonlinear dynamic characteristics of electromechanical planetary systems are studied by using bifurcation diagrams, time-domain diagrams, phase diagrams, Poincaré cross-sectional diagrams, spectra, etc.

Findings

The results show that when the temperature rise is less than 70 °C, the system will exhibit chaotic motion. When the motor speed is greater than 900r/min, the system enters a chaotic state. The changes in time-varying meshing stiffness, meshing damping ratio, and error amplitude will also make the system exhibit abundant bifurcation characteristics.

Originality/value

Based on the principle of thermal deformation, taking into account the temperature effect and nonlinear parameters, including time-varying meshing stiffness and tooth side clearance as well as comprehensive errors, a dynamic model of the electromechanical planetary gear system was established.

目的 机电行星传动系统具有传动功率大、运行速度快等优点,是未来重要的发展方向之一。但在机电行星传动系统运行过程中,摩擦等因素会导致齿轮温度升高和热变形,从而影响系统的传动性能,研究温度效应对机电行星系统非线性动力学的影响具有重要意义。设计/方法/途径采用分岔图、时域图、相图、Poincaré 截面图、频谱等方法研究了温度变化、电机转速、时变啮合刚度、啮合阻尼比和误差振幅对机电行星系统非线性动态特性的影响。当电机转速大于 900r/min 时,系统进入混沌状态。原创性/价值基于热变形原理,考虑温度效应和非线性参数,包括时变啮合刚度、齿侧间隙和综合误差,建立了机电行星齿轮系统的动力学模型。
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引用次数: 0
Investigation on the flow and induced-noise mechanism during the transient start-up process of a mixed-flow pump 混流泵瞬态启动过程中的流动和诱导噪声机理研究
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-30 DOI: 10.1108/ec-08-2023-0448
Jinsong Zhang, Xinlong Wang, Chen Yang, Mingkang Sun, Zhenwei Huang

Purpose

This study aims to investigate the noise-inducing characteristics during the start-up process of a mixed-flow pump and the impact of different start-up schemes on pump noise.

Design/methodology/approach

This study conducted numerical simulations on the mixed-flow pump under different start-up schemes and investigated the flow characteristics and noise distribution under these schemes.

Findings

The results reveal that the dipole noise is mainly caused by pressure fluctuations, while the quadrupole noise is mainly generated by the generation, development and breakdown of vortices. Additionally, the noise evolution characteristics during the start-up process of the mixed-flow pump can be divided into the initial stage, stable growth stage, impulse stage and stable operation stage.

Originality/value

The findings of this study can provide a theoretical basis for the selection of start-up schemes for mixed-flow pumps, reducing flow noise and improving the operational stability of mixed-flow pumps.

目的 本研究旨在探讨混流泵启动过程中的噪声诱发特性以及不同启动方案对泵噪声的影响。设计/方法/途径 本研究对不同启动方案下的混流泵进行了数值模拟,并研究了这些方案下的流动特性和噪声分布。此外,混流泵启动过程中的噪声演变特征可分为初始阶段、稳定增长阶段、脉冲阶段和稳定运行阶段。
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引用次数: 0
A study on the fractional Black–Scholes option pricing model of the financial market via the Yang-Abdel-Aty-Cattani operator 通过 Yang-Abdel-Aty-Cattani 算子研究金融市场的分数 Black-Scholes 期权定价模型
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-29 DOI: 10.1108/ec-08-2023-0452
Surath Ghosh

Purpose

Financial mathematics is one of the most rapidly evolving fields in today’s banking and cooperative industries. In the current study, a new fractional differentiation operator with a nonsingular kernel based on the Robotnov fractional exponential function (RFEF) is considered for the Black–Scholes model, which is the most important model in finance. For simulations, homotopy perturbation and the Laplace transform are used and the obtained solutions are expressed in terms of the generalized Mittag-Leffler function (MLF).

Design/methodology/approach

The homotopy perturbation method (HPM) with the help of the Laplace transform is presented here to check the behaviours of the solutions of the Black–Scholes model. HPM is well known for its accuracy and simplicity.

Findings

In this attempt, the exact solutions to a famous financial market problem, namely, the BS option pricing model, are obtained using homotopy perturbation and the LT method, where the fractional derivative is taken in a new YAC sense. We obtained solutions for each financial market problem in terms of the generalized Mittag-Leffler function.

Originality/value

The Black–Scholes model is presented using a new kind of operator, the Yang-Abdel-Aty-Cattani (YAC) operator. That is a new concept. The revised model is solved using a well-known semi-analytic technique, the homotopy perturbation method (HPM), with the help of the Laplace transform. Also, the obtained solutions are compared with the exact solutions to prove the effectiveness of the proposed work. The different characteristics of the solutions are investigated for different values of fractional-order derivatives.

目的金融数学是当今银行业和合作行业发展最迅速的领域之一。在当前的研究中,针对金融学中最重要的布莱克-斯科尔斯模型(Black-Scholes model),考虑了一种基于罗伯托诺夫分数指数函数(Robotnov fractional exponential function,RFEF)的具有非星核的新分数微分算子。在模拟过程中,使用了同调扰动和拉普拉斯变换,并用广义米塔格-勒弗勒函数(MLF)来表示所得到的解。设计/方法/方法本文介绍了借助拉普拉斯变换的同调扰动法(HPM),以检验布莱克-斯科尔斯模型解的行为。研究结果在这一尝试中,利用同调扰动和 LT 方法获得了著名金融市场问题(即布莱克-斯科尔斯期权定价模型)的精确解,其中分数导数是在新的 YAC 意义上取的。我们用广义 Mittag-Leffler 函数得到了每个金融市场问题的解。原创性/价值布莱克-斯科尔斯模型是用一种新的算子--Yang-Abdel-Aty-Cattani(YAC)算子提出的。这是一个新概念。在拉普拉斯变换的帮助下,使用著名的半解析技术同调扰动法(HPM)求解了修订后的模型。此外,还将获得的解与精确解进行了比较,以证明拟议工作的有效性。针对不同的分数阶导数值,研究了求解的不同特征。
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引用次数: 0
Coupled pore pressure analysis of cone penetration test in two-layered clay 两层粘土中锥入度试验的耦合孔隙压力分析
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-29 DOI: 10.1108/ec-10-2023-0721
Zhuofeng Li, Shide Mo, Kaiwen Yang, Yunmin Chen

Purpose

The paper aims to clarify the distribution of excess pore pressure during cone penetration in two-layered clay and its influence on penetrometer resistance.

Design/methodology/approach

An arbitrary Lagrangian–Eulerian scheme is adopted to preserve the quality of mesh throughout the numerical simulation. Simplified methods of layered penetration and coupled pore pressure analysis of cone penetration have been proposed and verified by previous studies. The investigation is then extended by the present work to study the cone penetration test in a two-layered clay profile assumed to be homogeneous with the modified Cam clay model.

Findings

The reduction of the range of pore pressure with decreasing PF will cause a decrease of the sensing distance. The PF of the underlying soil is one of the factors that determine the development distance. The interface can be obtained by taking the position of the maximum curvature of the penetrometer resistance curve in the case of stiff clay overlying soft clay. In the case of soft clay overlying stiff clay, the interface locates at the maximum curvature of the penetrometer resistance curve above about 1.6D.

Research limitations/implications

The cone penetration analyses in this paper are conducted assuming smooth soil-cone contact.

Originality/value

A simplified method based on ALE in Abaqus/Explicit is proposed for layered penetration, which solves the problem of mesh distortion at the interface between two materials. The stiffness equivalent method is also proposed to couple pore pressure during cone penetration, which achieves efficient coupling of pore water pressure in large deformations.

目的 本文旨在阐明两层粘土中锥体贯入过程中过剩孔隙压力的分布及其对贯入阻力的影响。设计/方法/途径 采用任意的拉格朗日-欧勒方案,以保持整个数值模拟过程中的网格质量。之前的研究已经提出并验证了分层贯入和锥体贯入耦合孔隙压力分析的简化方法。本研究对这一研究进行了扩展,利用修正的卡姆粘土模型对假设为均质的两层粘土剖面中的锥入试验进行了研究。下层土壤的 PF 是决定开发距离的因素之一。在硬质粘土覆盖软质粘土的情况下,可以通过测量渗透仪阻力曲线最大曲率的位置来获得界面。在软质粘土覆盖在硬质粘土上的情况下,界面位于贯入度阻力曲线的最大曲率处,高于约 1.6D。还提出了刚度等效法来耦合锥入过程中的孔隙压力,实现了大变形情况下孔隙水压力的有效耦合。
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引用次数: 0
期刊
Engineering Computations
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