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Optimization of FSW process parameters for welding dissimilar 6061 and 7075 Al alloys using Taguchi design approach 采用田口设计方法对6061和7075异种铝合金FSW焊接工艺参数进行优化
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.24678.2795
G. Kumar, Kumar Anshuman, Sreeja Rajesh, Rama Bhadri Raju Chekuri, K. Ramakotaiah
Friction stir welding (FSW) produce a strong metallurgical joint with the application of severe deformations and frictional heating in the metals and alloys by using a non-consumable rotating tool consisting of pin and tool shoulder. During welding, the plastic deformations of base metals vary for the varying mechanical properties such as tensile strength (TS), impact strength (IS), and hardness (HV) which in turn varies the welding conditions and parameters. Therefore, selection of optimal weld parameters plays an important role in enhancing the quality of weld joint. In this article, friction stir butt welds made of 6061 and 7075 Al alloys are performed with various welding parameters such as rotational speed of tool, angle of tilt, and axial force using tool has taper pin profile. Experiments are carried out on twenty-seven joints that are made on 6061 and 7075 Al Alloy plates of 6.50 mm thick of same nature and tested for its tensile, impact and HV properties.
搅拌摩擦焊(FSW)是利用由销和刀肩组成的非消耗性旋转工具,在金属和合金中施加剧烈变形和摩擦加热,从而产生牢固的冶金接头。在焊接过程中,基体金属的塑性变形会随着拉伸强度(TS)、冲击强度(IS)和硬度(HV)等力学性能的变化而变化,这反过来又会改变焊接条件和参数。因此,选择最优的焊接参数对提高焊接接头质量具有重要作用。本文采用锥形销形刀具,在刀具转速、倾斜角度和轴向力等不同焊接参数下,对6061和7075铝合金进行了搅拌摩擦对接焊接。对6061和7075铝合金6.50 mm厚同性质板上的27个接头进行了拉伸、冲击和高压性能试验。
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引用次数: 2
Solving a bi-objective flexible flow shop problem with transporter preventive maintenance planning and limited buffers by NSGA-II and MOPSO 利用NSGA-II和MOPSO求解具有运输工具预防性维修计划和有限缓冲的双目标柔性流水车间问题
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.24335.2719
Meysam Kazemi Esfeh, A. Shojaei, H. Javanshir, K. K. Damghani
This study deals with a bi-objective flexible flow shop problem (BOFFSP) with transportation times and preventive maintenance (PM) on transporters via considering limited buffers. The PM actions on transporters are a missing part of the literature of the flexible flow shop problem (FFSP) which before the breakdown occurs, each transporter at each stage is stopped and the PM action is performed on it. The capacity of each intermediate buffer is limited and each job has to wait in the intermediate buffers. By including all these features in the proposed BOFFSP, not only processing times affect the objective functions, but also, the transportation times of jobs, the waiting time of jobs in the intermediate buffers, and availability of transporters in the system are considered in the model and make it a sample of a real-world FFSP. The presented BOFFSP has simultaneously minimized the total completion time and the unavailability of the system. As the problem is NP-hard, a non-dominated sorting genetic algorithm II (NSGA-II) and a multi-objective particle swarm optimization (MOPSO) is proposed to solve the model for large size problems. The experimental results show that the proposed MOPSO relatively outperforms the presented NSGA-II in terms of five different metrics considered to compare their performance. Afterwards, two one-way ANOVA tests are performed. It can be observed MOPSO achieves relatively better results than NSGA-II. Finally, sensitivity analysis is conducted to investigate the sensitivity of the objective functions to the number of jobs and their transportation time at each stage.
考虑有限缓冲,研究了具有运输时间和运输工具预防性维修的双目标柔性流车间问题。在柔性流水车间问题(FFSP)的文献中,转运体上的PM动作是一个缺失的部分,在故障发生之前,每个转运体在每个阶段都被停止,PM动作对其进行。每个中间缓冲区的容量是有限的,每个作业都必须在中间缓冲区中等待。该模型不仅考虑了处理时间对目标函数的影响,而且考虑了作业的传输时间、作业在中间缓冲区中的等待时间和系统中运输工具的可用性,使其成为现实世界FFSP的一个样本。所提出的BOFFSP同时最小化了总完工时间和系统的不可用性。针对大尺度问题的NP-hard问题,提出了非支配排序遗传算法(NSGA-II)和多目标粒子群优化(MOPSO)来求解该模型。实验结果表明,在所考虑的5个不同指标上,本文提出的MOPSO相对优于NSGA-II。之后,进行了两次单因素方差分析。可以看出,MOPSO的效果相对于NSGA-II更好。最后,进行敏感性分析,考察目标函数对各阶段工作岗位数量及其运输时间的敏感性。
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引用次数: 0
Combining B-spline least-square schemes with different weight functions to solve the generalized regularized long wave equation 结合不同权函数的b样条最小二乘格式求解广义正则化长波方程
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5468
H. O. Al-Humedi
For solving differential equations, a variety of numerical methods are available, accuracy, performance, and application are all different. In this article, we proposed new numerical techniques for solving the generalized regularized long wave equation(GRLWE) that are based on types M and M-1 of B-splines-least-square method (BSLSM) and weight function of B-splines respectively, which were proposed previously for solving integro-differential equations [2] where $Min {N}$.  We investigated linear stability using a Fourier method.
求解微分方程的数值方法多种多样,精度、性能、应用等各不相同。本文提出了基于b样条M型和M-1型的广义正则化长波方程(GRLWE)的新的数值求解方法,即b样条最小二乘法(BSLSM)和b样条权函数,这两种方法分别用于求解包含$Min {N}$的积分微分方程[2]。我们用傅里叶方法研究了线性稳定性。
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引用次数: 0
Approximate analytic solution of composed linear descriptor operator system using functional analysis approach 用泛函分析方法求解组合线性描述算子系统的近似解析解
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5503
Hams M. Al-Helli, R. A. Zaboon
This paper focuses on the solvability and approximate analytic solution of composed linear descriptor operator with constant coefficient, using functional (Variational) approach. This approach is based on finding a suitable functional form whose critical points are the solution of the proposed problem and the solution of a proposed problem is a critical point of the obtained variational functional defined on suitable reflexive Hilbert space since the existence of this approach is based on the symmetry and positivity of the composed linear descriptor operator on Hilbert space. The necessary mathematical requirements are derived and proved. A step-by-step computational algorithm is proposed. Illustration and computation with the giving exact solution are also proposed.
本文利用泛函变分方法研究了常系数组合线性描述算子的可解性和近似解析解。该方法的存在性是基于Hilbert空间上复合线性描述算子的对称性和正性,该方法的基础是找到一个合适的泛函形式,其临界点是所提问题的解,而所提问题的解是定义在合适的自反Hilbert空间上得到的变分泛函的临界点。推导并证明了必要的数学要求。提出了一种分步计算算法。给出了给出精确解的图解和计算。
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引用次数: 0
Optimizing RSA cryptosystem using Hermite polynomials 优化RSA密码系统使用埃尔米特多项式
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5614
R. K. Salih
The Security is requested to relocate paramount information across the networks. To protect the confidential data from hacking, this paper describes a process to increase the security of the RSA algorithm by creating additional layer protection for it using Hermite polynomials which will be represented as a square matrix, its calculation is not complicated. In the RSA process, we need to choose very large numbers that lead to complex operations which require a long computation time, while in proposed encryption due to Hermite key we don't need that because two layers of encryption give robust safeness to the ciphertext from dangers of hackers due to the hard of breakable.
要求安全部门跨网络重新部署重要信息。为了保护机密数据不受黑客攻击,本文描述了一个过程,通过使用Hermite多项式为其创建额外的保护层来增加RSA算法的安全性,该多项式将表示为方阵,其计算并不复杂。在RSA过程中,我们需要选择非常大的数字,这会导致复杂的操作,需要很长的计算时间,而在提出的基于Hermite密钥的加密中,我们不需要这样做,因为两层加密为密文提供了强大的安全性,使其不易被破解,免受黑客的威胁。
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引用次数: 1
Critical review on mathematics virtual classroom practice in private university 私立大学数学虚拟课堂实践述评
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5616
Samsul Maarif, K. Umam, J. Soebagyo, T. Pradipta
A study has proven the benefits of mathematics classes learning mathematics at university. However, there is still a lack of evidence regarding its benefits in mathematics teacher education programs. This study aims to test the flipped class in a mathematics teacher education program at a private university in Indonesia. The data source comes from thirty-one students of the mathematics education program in this study. Various data methods were used, including observation, journals, and tests. Then the data were analyzed quantitatively and qualitatively. The findings showed that a reverse classroom encourages students to learn independently, with students working together with peers and increasing learning awareness. However, some of the challenges presented in flipped classroom applications include technical issues, record editing skills, and longer time consumed. The recommendations offered to refer to the findings.
一项研究证明了在大学数学课上学习数学的好处。然而,关于它在数学教师教育计划中的益处,仍然缺乏证据。本研究旨在对印尼一所私立大学数学教师教育项目中的翻转课堂进行测试。数据来源来自本研究数学教育专业的31名学生。使用了多种数据方法,包括观察、期刊和测试。然后对数据进行定量和定性分析。研究结果表明,逆向课堂鼓励学生独立学习,学生与同龄人一起学习,提高学习意识。然而,在翻转课堂应用中出现的一些挑战包括技术问题、记录编辑技巧和较长的时间消耗。为参考调查结果而提出的建议。
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引用次数: 1
The bifurcation analysis of an eco-toxicant model with anti-predator behavior 具有反捕食行为的生态毒物模型的分岔分析
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5798
H. S. Kareem, A. Majeed
In this study, the mathematical model of four differential equations for organisms that describe the effect of anti-predation behavior, age stage and toxicity have been analyzed. Local bifurcation and Hopf bifurcation have been studied by changing a parameter of a model to study the dynamic behavior determined by bifurcation curves and the occurrence states of bifurcation saddle node, transcritical and pitch fork bifurcation. The potential equilibrium point at which Hopf bifurcation occurs has been determined and the results of the bifurcation behavior analysis have been fully presented using numerical simulation.
在本研究中,分析了描述反捕食行为、年龄阶段和毒性作用的四个生物微分方程的数学模型。通过改变模型参数研究了局部分岔和Hopf分岔,研究了由分岔曲线决定的动力学行为以及分岔鞍节点、跨临界分岔和节叉分岔的发生状态。通过数值模拟,确定了Hopf分岔发生的势平衡点,并给出了分岔行为分析的结果。
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引用次数: 1
Estimation of parameter for the Pareto distribution based on right censoring 基于右截法的Pareto分布参数估计
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5819
Rana Hasan Shamkhi, Wisam Kamil Ghafil, A. A. Jaaze
In this paper, we found the estimation of the unknown parameter $delta$ when $vartheta$  is a known parameter in the Pareto distribution. First, we get the maximum probability estimators(MLEs) for unknown parameters. We have obtained the Bayes Estimators of unknown parameter $delta$  using Lindley's approximation. A Monte Carlo simulation is performed and used a programming language R to compare the performance of the method used, and the data set was analyzed for illustration purposes.
本文研究了在Pareto分布中,当参数$vartheta$为已知参数时未知参数$delta$的估计。首先,我们得到未知参数的最大概率估计量。我们利用林德利近似得到了未知参数$delta$的贝叶斯估计量。进行了蒙特卡罗模拟,并使用编程语言R来比较所使用方法的性能,并对数据集进行了分析,以说明目的。
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引用次数: 0
Error grid analysis evaluation of noninvasive blood glucose monitoring system of diabetic Covid-19 patients 糖尿病Covid-19患者无创血糖监测系统误差网格分析评价
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/ijnaa.2022.6147
L. N. Bachache, A. Q. Al-Neami, J. Hasan
Due to the life-threatening dangers of diabetic disease and the rapid spread of the Corona pandemic, the demand for continuous glucose monitoring systems increases, especially that complemented with telemedicine technologies. During and after the corona pandemic, the number of diabetes patients is anticipated to rise rapidly. This study aims to learn the interaction between diabetes and COVID-19 and the health complication, owing to control blood glucose levels to decrease these complications. Careful blood sugar control is essential because the poorer health results are strongly linked with greater blood sugar levels in COVID-19 infection patients. The non-invasive glucose detection system is vital to control diabetic COVID-19 patients' health cases. The non-invasive blood glucose monitoring system is based on acousto-optic Raman-Nath interaction using 2MHz ultrasound and 980nm IR laser. Clark's Error Chart and Parkes Error Grid are used for evaluating the non-invasive blood glucose monitoring system and show a promising evaluation result.
由于糖尿病危及生命的危险和冠状病毒大流行的迅速蔓延,对连续血糖监测系统的需求增加,特别是与远程医疗技术相辅之以的需求。在冠状病毒大流行期间和之后,预计糖尿病患者人数将迅速增加。本研究旨在了解糖尿病与COVID-19之间的相互作用以及健康并发症,通过控制血糖水平来减少这些并发症。仔细控制血糖至关重要,因为COVID-19感染患者较差的健康结果与较高的血糖水平密切相关。无创血糖检测系统对控制糖尿病患者健康病例至关重要。无创血糖监测系统基于声光拉曼-纳特相互作用,采用2MHz超声和980nm红外激光。采用Clark's Error Chart和Parkes Error Grid对无创血糖监测系统进行评价,评价结果令人满意。
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引用次数: 2
Investigating essential factors in the spread of lassa fever dynamics through sensitivity analysis 通过敏感性分析调查拉沙热传播动态的关键因素
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.22707.2405
T. Faniran, E. O. Ayoola
Lassa fever is a zoonotic acute viral illness caused by Lassa virus. Since there is no vaccine yet to protect against contracting the virus, it continues to spread in West Africa. In this paper, a mathematical model of lassa transmission that considers two classes of rats: house rat and bush rat, is proposed. Theoretically, global stability of the model disease-free and endemic equilibria are established by constructing a global Lyapunov function. Sensitivity indices of the basic reproduction number are derived using the normalised forward approach to evaluate the effectiveness of control measures. The disease-free equilibrium is globally asymptotically stable when the basic reproduction number R0 1. Results from sensitivity analysis reveals that rat biting rate for infectious house rats RFH and infectious bush rats R_FB, transmission probability per contact with infectious house and bush rats (R_FH and R_FB), human recruitment rate and transmission probability per contact with infectious human hosts are highly significant in determining the severity of lassa infection. On the other hand, natural death rate of rats, natural death rate of human hosts, recovery and hospitalization rates of human hosts are critical for lassa transmission reduction. Plans that target the contact rate between house and bush rats (i.e use of indoor residual spray, fumigation of environment with pesticide) and those that target recovery rate of human hosts (i.e treatment of infectious human hosts) are recommended to control the disease.
拉沙热是由拉沙病毒引起的人畜共患急性病毒性疾病。由于目前还没有预防感染这种病毒的疫苗,它继续在西非传播。本文提出了一种考虑家鼠和丛林鼠两类鼠的拉沙传播数学模型。从理论上讲,通过构造一个全局Lyapunov函数,建立了模型无病平衡点和地方性平衡点的全局稳定性。利用正演归一化方法推导了基本繁殖数的敏感性指标,以评价控制措施的有效性。当基本繁殖数R0为1时,无病平衡是全局渐近稳定的。敏感性分析结果显示,家鼠和灌木林大鼠的咬人率、每次接触家鼠和灌木林大鼠的传播概率(R_FH和R_FB)、人的招募率和每次接触传染性宿主的传播概率是判断拉沙病毒感染严重程度的重要指标。另一方面,大鼠自然死亡率、人类宿主自然死亡率、人类宿主康复率和住院率对减少拉沙传播至关重要。建议制定以家鼠与丛林鼠接触率为目标的计划(即使用室内残留喷雾,用杀虫剂熏蒸环境)和以人类宿主恢复率为目标的计划(即治疗传染性人类宿主)来控制该病。
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引用次数: 3
期刊
International Journal of Nonlinear Analysis and Applications
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