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OSCILLATORY BEHAVIOR OF SOLUTIONS OF FRACTIONAL MATRIX DIFFERENTIAL EQUATIONS 分数矩阵微分方程解的振荡行为
Pub Date : 2024-03-17 DOI: 10.26782/jmcms.2024.03.00004
N. Sasikala
In this article, new oscillation criteria for the second-order self-adjoint Matrix differential equations by using the Riccatti technique are obtained. A suitable example is given to illustrate the significance and effectiveness of the result.
本文利用 Riccatti 技术获得了二阶自洽矩阵微分方程的新振荡准则。文中给出了一个合适的例子来说明该结果的意义和有效性。
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引用次数: 0
PREDICTION OF CONCRETE MIXTURE DESIGN AND COMPRESSIVE STRENGTH THROUGH DATA ANALYSIS AND MACHINE LEARNING 通过数据分析和机器学习预测混凝土混合物设计和抗压强度
Pub Date : 2024-03-17 DOI: 10.26782/jmcms.2024.03.00001
Mohammad Hematibahar
Concrete is the most used building material in civil engineering. The mechanical properties of concrete depend on the percentage of materials used in the mix design. There are different types of mixture methods, and the purpose of this study is to investigate the mechanical properties of concrete using the mixture method through data analysis. In this case, more than 45 mixture designs are collected to find the estimated mixture design. The estimated mixture design was found by correlation matrix and the correlation between materials of concrete. Moreover, to find the reliability of the compressive strength of concrete through data mining, two models have been established. In this term, Linear Regression (LR), Ridge Regression (RR), Support Vector Machine Regression (SVR), and Polynomial Regression (PR) have been applied to predict compressive strength. In this study, the stress-strain curve of the compressive strength of concrete was also investigated. To find the accuracy of machine learning models, Correlation Coefficient (R2), Mean Absolute Errors (MAE), and Root Mean Squared Errors (RMSE) are established. However, the machine learning prediction model of RR and PR shows the best results of prediction with R2 0.93, MAE 3.7, and RMSE 5.3 for RR. The PR R2 was more than 0.91, moreover, the stress-strain of compressive strengths has been predicted with high accuracy through Logistic Algorithm Function. The experimental results were acceptable. In the compressive strength experimental results R2 was 0.91 MAE was 1.07, and RMSE was 2.71 from prediction mixture designs. Finally, the prediction and experimental results have indicated that the current study was reliable.
混凝土是土木工程中使用最多的建筑材料。混凝土的力学性能取决于混合设计中所用材料的比例。有不同类型的混合方法,本研究的目的是通过数据分析研究使用混合方法的混凝土力学性能。在这种情况下,收集了超过 45 种混合物设计,以找到估计的混合物设计。通过相关矩阵和混凝土材料之间的相关性,找到了估计的混合物设计。此外,为了通过数据挖掘找到混凝土抗压强度的可靠性,还建立了两个模型。其中,线性回归(LR)、岭回归(RR)、支持向量机回归(SVR)和多项式回归(PR)被用于预测抗压强度。本研究还调查了混凝土抗压强度的应力-应变曲线。为了确定机器学习模型的准确性,建立了相关系数(R2)、平均绝对误差(MAE)和均方根误差(RMSE)。然而,RR 和 PR 的机器学习预测模型显示出最好的预测结果,RR 的 R2 为 0.93,MAE 为 3.7,RMSE 为 5.3。PR 的 R2 大于 0.91,而且通过 Logistic 算法函数对抗压强度的应力应变进行了高精度预测。实验结果是可以接受的。在抗压强度实验结果中,预测混合物设计的 R2 为 0.91,MAE 为 1.07,RMSE 为 2.71。最后,预测和实验结果表明当前的研究是可靠的。
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引用次数: 0
UWB TAPERED-SLOT PATCH ANTENNA WITH RECONFIGURABLE DUAL BAND-NOTCHES CHARACTERISTICS 具有可重构双带缺口特性的 UWB 带槽贴片天线
Pub Date : 2024-03-17 DOI: 10.26782/jmcms.2024.03.00003
Adham R. Azeez
An ultra-wideband patch antenna (UWB) that makes use of tapered slot technology is designed and analyzed in this article. Coplanar waveguide feeds the projected antenna. The presented antenna displayed superior UWB performances with -10 dB return-loss bandwidth, ranging from 1.9 to 12 GHz. The projected slot antenna has another benefit of minimizing the interference effect of the narrow band communications conducted by two notch bands operating at 3.3–3.8 GHz (WiMAX) and 5.1-6 GHz (WLAN and HIPERLAN/2), respectively. The Dual-Bands rejection is generated by etching out a complementary split ring resonator (CSRR) from the patch and placing a trapezoidal split ring resonator (TSRR). Adaptable single or dual-band rejection characteristics have been added to the behavior of the UWB antenna, by mounting electronic switching across SRR and CSRR. Furthermore, the presented UWB slot antenna is printed on an FR4-epoxy substrate (εr = 4.4) and it has an overall size of . 55x48x1.5 mm3
本文设计并分析了一种利用锥形槽技术的超宽带贴片天线(UWB)。共面波导为投射天线提供馈电。该天线具有出色的 UWB 性能,回波损耗带宽为 -10 dB,频率范围为 1.9 至 12 GHz。投射缝隙天线的另一个优点是最大限度地降低了分别工作在 3.3-3.8 GHz(WiMAX)和 5.1-6 GHz(WLAN 和 HIPERLAN/2)的两个陷波带对窄带通信的干扰。双频抑制是通过在贴片上蚀刻出一个互补分裂环谐振器(CSRR),然后放置一个梯形分裂环谐振器(TSRR)来实现的。通过在 SRR 和 CSRR 上安装电子开关,UWB 天线的行为增加了可适应的单频或双频抑制特性。此外,所展示的 UWB 槽形天线印制在 FR4-epoxy 基板(εr = 4.4)上,其总尺寸为 .
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引用次数: 0
INVESTIGATION ON PREDICTING FAMILY PLANNING AND WOMEN’S AND CHILDREN’S HEALTH EFFECTS ON BANGLADESH BY CONDUCTING AGE STRUCTURE POPULATION MODEL 通过年龄结构人口模型预测计划生育和妇女儿童健康对孟加拉国的影响的研究
Pub Date : 2024-03-17 DOI: 10.26782/jmcms.2024.03.00005
Rezaul Karim
Bangladesh has a higher population density than most other nations in the world. This project aims to evaluate the effects of experimental family planning and maternal and child health. Bangladesh saw changes in the use of contraceptives, the continuation of contraception, fertility, and infant and child mortality between 2012 and 2022. The project's current goal is to guarantee improved family health. To satisfy the changing needs and priorities of families and to provide better health for all, this paper has proposed several novel initiatives, such as enhanced health and family planning services, and enhancing maternal and child health. The goal of this project is to improve the health of women and children through family planning using an age-structured population model. It also covers the graphical presentation of the data using programs like Matlab, Mathematica, Excel, and others.
孟加拉国的人口密度高于世界上大多数其他国家。该项目旨在评估试验性计划生育对母婴健康的影响。从 2012 年到 2022 年,孟加拉国在避孕药具的使用、避孕的持续性、生育率以及婴儿和儿童死亡率方面都发生了变化。该项目的当前目标是确保改善家庭健康。为了满足家庭不断变化的需求和优先事项,并为所有人提供更好的健康,本文提出了几项新举措,如加强保健和计划生育服务,以及加强孕产妇和儿童保健。本项目的目标是利用年龄结构人口模型,通过计划生育改善妇女和儿童的健康。它还包括使用 Matlab、Mathematica、Excel 等程序对数据进行图形化展示。
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引用次数: 0
TWO PHASE SLIP FLOW OF BLOOD IN HEPATIC ARTERY WITH SPECIAL REFERENCE TO HEPATITIS B 肝动脉血的两相滑动流动,特别是在乙型肝炎方面
Pub Date : 2024-03-17 DOI: 10.26782/jmcms.2024.03.00006
Ruma Bagchi
In this paper, we have presented a model of two-phased arterial hepatic blood flow in hepaticarteries remote from the heart and proximate to the Liver keeping in view the nature of hepatic blood circulation in the human body. Blood is supposed to be non-Newtonian of the power-law type. Solutions of the constitutive equations are obtained in analytical as well as in numerical forms. The role of hematocrit is explicit in the determination of blood pressure drop in the case of Hepatic disease Hepatitis B.
在本文中,我们根据人体肝脏血液循环的性质,提出了一个在远离心脏和靠近肝脏的肝动脉中的两相肝血流模型。血液应为幂律型非牛顿流体。以分析和数值形式获得了构成方程的解。在确定乙肝患者的血压下降时,明确了血细胞比容的作用。
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引用次数: 0
SIZE-DEPENDENT VIBRATION ANALYSIS OF CRACKED MICRO BEAMS REINFORCED WITH FUNCTIONALLY GRADED BORON NITRIDE NANOTUBES IN COMPOSITE STRUCTURES 复合结构中使用功能分级氮化硼纳米管加固的开裂微梁的尺寸振动分析
Pub Date : 2024-03-17 DOI: 10.26782/jmcms.2024.03.00002
L. Anitha
The Boron Nitride Nanotubes (BNNTs) are cylindrical nanostructures made up of nitrogen and boron atoms stacked hexagonally. Comparable to carbon nanotubes, BNNTs have exceptional mechanical, electrical, and thermal capabilities. The increasing prevalence of micro-electromechanical systems in different technological fields underscores the necessity of gaining a comprehension of their mechanical behavior. The behaviour of Functionally Graded Boron Nitride Nanotube-Reinforced Composite (FG-BNNTRC) concerning microbeam cracks during free movement is investigated in this study. BNNT can be added to a matrix of polymers in four distinct manners to give reinforcements. The BNNTRC substance features are expected by the standard of integrating fractured microbeams. This study's primary goal is to investigate the free vibration properties of FG-BNNTRC cracked micro beams. It is crucial to focus on evaluating how different BNNT reinforcing structures, volume %, dimension/thickness ratio, and length scale elements affect vibration frequencies. This paper evaluates the vibration of fractured microbeams having length dependency using the modified couple stress theory. Following examining the effects of various causes, it emerges that the frequencies exhibit noticeable variances. The study shows that when the thickness of the beam becomes closer to the length scale parameter, the size impact gets stronger. The thickness of the beam grows, and the size impact decreases. The results are significant consequences with the design in addition to developing innovative composite materials for micro-scale applications, demonstrating the details of the complex interplay among nanoscale reinforcements and structural integrity.
氮化硼纳米管(BNNT)是由氮原子和硼原子以六角形堆叠而成的圆柱形纳米结构。与碳纳米管相比,氮化硼纳米管具有卓越的机械、电气和热性能。随着微机电系统在不同技术领域的应用日益广泛,我们有必要了解它们的机械行为。本研究探讨了功能分级氮化硼纳米管增强复合材料(FG-BNTRC)在自由运动过程中与微梁裂纹有关的行为。BNNT 可以通过四种不同的方式添加到聚合物基体中,从而起到增强作用。BNNTRC 的物质特征是整合断裂微梁的标准所期望的。本研究的主要目标是研究 FG-BNNTRC 裂纹微梁的自由振动特性。重点是评估不同的 BNNT 增强结构、体积百分比、尺寸/厚度比和长度标度元素对振动频率的影响。本文使用修正的耦合应力理论评估了具有长度依赖性的断裂微梁的振动。在研究了各种原因的影响后,发现频率表现出明显的差异。研究表明,当梁的厚度变得更接近长度标度参数时,尺寸影响会变得更强。梁的厚度增加,尺寸影响减小。除了为微尺度应用开发创新复合材料外,这些结果还对设计产生了重大影响,展示了纳米级加固材料与结构完整性之间复杂相互作用的细节。
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引用次数: 0
DEVELOPMENT OF A THEORETICAL MODEL TO ESTIMATE THE EROSION WEAR RATE OF POLYMER COMPOSITES 开发一种理论模型来估算聚合物复合材料的侵蚀磨损率
Pub Date : 2024-02-18 DOI: 10.26782/jmcms.2024.02.00002
Raffi Mohammed
Nowadays Polymeric materials reinforced with synthetic fibers play an incredible role in almost all spheres of day-to-day life due to their elevated stiffness, outstanding strength-to-weight ratio, and electrical, thermal, and wear properties. The accumulation of micro-fillers or particulates in polymeric components reinforced with fibers made from synthetic materials may enhance their properties compared to fiber-reinforced composites. Solid particle erosion of engineering components made up of polymer composites is a major industrial problem, and it is significantly affected by the components' mechanical characteristics and their working environment. Therefore, it's essential to research the polymer composites' solid particle erosion properties. One area that has attracted less research attention is the impact of particle fillers and E-glass fiber reinforcing on erosion wear characteristics. Because of its significance to science and industry, research in this area is especially needed about particle fillers. Furthermore, to properly design a machine or structural component and use materials that will increase wear resistance, one must have a thorough grasp of how every system variable affects wear rate. In this research article, to estimate the erosion damage induced by solid particle impact on composites without conducting the experiment on an air jet erosion test rig, a theoretical model is proposed. The successful implementation of this theoretical model can reduce the experimentation cost with good quantitative accuracy.
如今,用合成纤维增强的聚合物材料因其较高的刚度、出色的强度重量比以及电、热和耐磨特性,在日常生活的几乎所有领域都发挥着令人难以置信的作用。与纤维增强复合材料相比,微填料或微粒在使用合成材料纤维增强的聚合物部件中的积聚可提高其性能。固体颗粒对聚合物复合材料工程部件的侵蚀是一个主要的工业问题,它受到部件机械特性和工作环境的显著影响。因此,研究聚合物复合材料的固体颗粒侵蚀特性至关重要。其中一个研究关注度较低的领域是颗粒填料和 E 玻璃纤维增强材料对侵蚀磨损特性的影响。由于其对科学和工业的重要性,该领域尤其需要对颗粒填料进行研究。此外,要正确设计机器或结构部件并使用可提高耐磨性的材料,就必须全面掌握每个系统变量对磨损率的影响。在这篇研究文章中,为了估算固体颗粒撞击复合材料所引起的侵蚀破坏,在不在喷气侵蚀试验台上进行实验的情况下,提出了一个理论模型。该理论模型的成功实施可降低实验成本,并具有良好的定量准确性。
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引用次数: 0
A NOVEL CONCEPT OF THE THEORY OF DYNAMICS OF NUMBERS AND ITS APPLICATION IN THE QUADRATIC EQUATION 数动力学理论的新概念及其在二次方程中的应用
Pub Date : 2024-02-18 DOI: 10.26782/jmcms.2024.02.00006
P. Bhattacharyya
Considering the basic role of numbers in Mathematics, Science, and Technology the author developed a new structure of numbers named as ‘Theory of Dynamics of Numbers.’ According to the Theory of Dynamics of Numbers, the author defined 0 (zero) is the starting point of any number and also defined 0 (zero) as a neutral number. The numbers can move in infinite directions from the starting point 0 (zero) and back to 0 (zero). The author has defined the three types of numbers: 1) Neutral Numbers, 2) Count Up Numbers, and 3) Count Down Numbers. These three types of numbers cover the entire numbers in the number system where there is no necessity for the concept of imaginary numbers. Introducing this new concept the author solved the quadratic equation in one unknown (say x) in the form ax2 + bx + c = 0, even if the numerical value of the discriminant b2 – 4ac < 0 in real numbers without using the concept of imaginary numbers. Already the author solved the quadratic equation x2 + 1 = 0 and proved that √ -1 = -1 by using the Theory of Dynamics of Numbers. The Theory of Dynamics of Numbers is a more powerful tool than that of the real and imaginary number system to explain the truth of nature.
考虑到数字在数学、科学和技术中的基本作用,作者提出了一种新的数字结构,命名为 "数字动态理论"。根据 "数的动态理论",作者将 0(零)定义为任何数的起点,并将 0(零)定义为中性数。从起点 0(零)到 0(零),数字可以向无限方向移动。作者定义了三种类型的数:1) 中性数,2) 上升数,3) 下降数。这三种类型的数涵盖了数系中的所有数,在数系中不需要虚数的概念。引入这一新概念后,作者在不使用虚数概念的情况下,以 ax2 + bx + c = 0 的形式解出了一个未知数(例如 x)的一元二次方程,即使实数中的判别式 b2 - 4ac 的数值 < 0。作者已经利用 "数的动态理论 "解出了一元二次方程 x2 + 1 = 0,并证明了 √ -1 =-1。数的动态理论是比实数和虚数系统更有力的解释自然真相的工具。
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引用次数: 0
FUNCTIONAL ASSESSMENT OF WAVE PROPAGATION IN IMPERFECT CYLINDER MATERIALS 不完美圆柱体材料中波传播的功能评估
Pub Date : 2024-02-18 DOI: 10.26782/jmcms.2024.02.00005
L. Anitha
This work provides a theoretical framework to investigate the shear wave propagation properties within an Electrostrictive cylindrical layered structure. The structure is made up of a concentric, Functionally Assessed Electrostrictive Material (FAEM) cylindrical layer of limited width and an inadequately bonded Electrostrictive material cylinder. The FAEM layer has a constant functional gradient in the radial direction, and flaws at the interface are taken seriously, mirroring actual circumstances involving structural and electrical degradation. The fundamental electromechanical connected Bessel's equations are used to simplify field differential equations by mathematical modifications. Relationships for shear wave propagation under electrically short and open circumstances are established analytically. The acquired findings are verified against predefined standards and a particular issue instance. The impact of variables on the phase velocity of shear waves, including functional range and imperfection parameters, is shown through numerical simulations and graphical displays. The research also establishes boundaries for electrically short and open circumstances, taking into account the shear defect that exists between the inner and outer cylindrical layers.
这项研究提供了一个理论框架,用于研究电致伸缩圆柱形分层结构中的剪切波传播特性。该结构由一个宽度有限的同心功能评估电致伸缩材料(FAEM)圆柱层和一个未充分粘合的电致伸缩材料圆柱体组成。功能评估电致伸缩材料层在径向具有恒定的功能梯度,界面上的缺陷会受到重视,这反映了涉及结构和电气退化的实际情况。通过数学修正,利用基本的机电连接贝塞尔方程来简化场微分方程。通过分析建立了剪切波在电短路和开路情况下的传播关系。获得的结论根据预定标准和特定问题实例进行了验证。变量对剪切波相位速度的影响,包括功能范围和不完善参数,通过数值模拟和图形显示得以体现。考虑到内外圆柱层之间存在的剪切缺陷,研究还确定了电短路和开路情况下的边界。
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引用次数: 0
STATE OF ART ON MICROSTRIP RESONATORS, FILTERS, DIPLEXERS AND TRIPLEXERS 微带谐振器、滤波器、双工器和三工器的技术发展状况
Pub Date : 2024-02-18 DOI: 10.26782/jmcms.2024.02.00001
Y. S. Mezaal
In today's world, communication is essential for various aspects of life. From military operations and medical systems to community networks, communication plays a crucial role in ensuring the smooth functioning of these applications. With the advancement of technology, communication has become more efficient and has significantly reduced the barriers of distance, bringing people and nations closer together. One of the key components of modern communication systems is microstrip devices. These devices are used in a wide range of applications, including filters, diplexers, and triplexers. Filters are used to selectively allow certain frequencies to pass through while blocking others, making them essential for signal processing and interference reduction in communication systems. Diplexers and triplexers are used to combine or separate multiple signals, allowing for more efficient use of the available frequency spectrum. This article aims to provide an overview of the state-of-the-art microstrip devices used in communication systems. It will review previous studies and advancements in the field, providing insights into the latest developments and technologies. By understanding the current state of research and development in microstrip devices, engineers and researchers can gain valuable knowledge to improve the performance and efficiency of communication systems. Furthermore, the article will explore the potential applications of microstrip devices in various communication systems, such as satellite communications, wireless networks, and radar systems. Understanding the capabilities and limitations of these devices will be crucial for optimizing their performance in different scenarios. Overall, this article will serve as a comprehensive resource for anyone interested in the role of microstrip devices in communication systems. Delving into the scope of filters, diplexers, and triplexers, will provide valuable insights into the advancements and potential future developments in this important area of technology.
在当今世界,通信对生活的各个方面都至关重要。从军事行动、医疗系统到社区网络,通信在确保这些应用顺利运行方面发挥着至关重要的作用。随着技术的进步,通信变得更加高效,大大减少了距离障碍,拉近了人与人之间、国家与国家之间的距离。微带器件是现代通信系统的关键组件之一。这些器件应用广泛,包括滤波器、双工器和三工器。滤波器用于选择性地允许某些频率通过,同时阻断其他频率,因此对通信系统中的信号处理和减少干扰至关重要。双工器和三工器用于组合或分离多个信号,从而更有效地利用可用频谱。本文旨在概述通信系统中使用的最先进微带器件。文章将回顾该领域以往的研究和进展,深入探讨最新的发展和技术。通过了解微带器件的研发现状,工程师和研究人员可以获得宝贵的知识,从而提高通信系统的性能和效率。此外,文章还将探讨微带器件在卫星通信、无线网络和雷达系统等各种通信系统中的潜在应用。了解这些设备的能力和局限性对于优化其在不同应用场景中的性能至关重要。总之,对于任何对微带器件在通信系统中的作用感兴趣的人来说,这篇文章都将是一份全面的资料。对滤波器、双工器和三工器的深入研究将为了解这一重要技术领域的进步和未来潜在发展提供宝贵的见解。
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引用次数: 0
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