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Comprehensive Overview on the Present State and Evolution of Global Warming, Climate Change, Greenhouse Gasses and Renewable Energy 全球变暖、气候变化、温室气体和可再生能源的现状和发展综述
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-08-09 DOI: 10.1007/s13369-024-09390-y
Mehmet Bilgili, Sergen Tumse, Sude Nar

The impact of the climate and environmental problems experienced in the world with the Industrial Revolution has prominently begun to be felt today, and the consequences of climate change on the environment and public health have now become visible. The increase in greenhouse gas emissions resulting from human activities, which is the main cause of global climate change, caused the global surface temperature to be 1.1 °C higher between 2011 and 2020 compared to 1850–1900. In parallel with this global problem, the transition to clean energy has increased significantly with Russia's invasion of Ukraine, more aggressive energy and climate policies, technological developments, and increasing concerns about energy security. In this study, global climate change indicators, including land and sea surface air temperatures, sea level rise, sea ice extent, ocean heat content, surface humidity, and total column water vapor, are reviewed and updated in parallel with a comprehensive analysis of the progress in renewable energy. The results showed that if no measures are taken to reduce human-induced greenhouse gas emissions, the global average temperature will increase further in the coming years and the negative effects of other climate parameters will be felt even more. It has been emphasized that limiting human-induced global warming requires renewable and sustainable energy sources and net zero CO2 emissions and that the simultaneous adoption of emission reduction and adaptation strategies will be the most effective economic and technical solution to the global warming problem.

工业革命给世界带来的气候和环境问题的影响如今已开始凸显,气候变化对环境和公众健康的后果现已显现。人类活动造成的温室气体排放增加是全球气候变化的主要原因,导致 2011-2020 年间全球地表温度比 1850-1900 年间上升了 1.1 °C。与这一全球性问题并存的是,随着俄罗斯入侵乌克兰、更加激进的能源和气候政策、技术发展以及对能源安全的日益关注,向清洁能源的过渡也显著增加。本研究回顾并更新了全球气候变化指标,包括海陆表面气温、海平面上升、海冰范围、海洋热含量、地表湿度和柱状水汽总量,同时对可再生能源的进展情况进行了全面分析。结果表明,如果不采取措施减少人为温室气体排放,未来几年全球平均气温将进一步上升,其他气候参数的负面影响将更加明显。研究强调,限制人类引起的全球变暖需要可再生和可持续能源以及二氧化碳净零排放,同时采取减排和适应战略将是解决全球变暖问题最有效的经济和技术办法。
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引用次数: 0
Investigation of the Dewatering Process with Geotextile Tubes by Sedimentation, One- and Two-Dimensional Filtration Test Methods 通过沉淀、一维和二维过滤试验方法研究土工织物管的脱水过程
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-08-06 DOI: 10.1007/s13369-024-09323-9
Abdulkadir Bulut, Tayfun Sengul

Dewatering applications are carried out with geotextile tubes for the disposal or reuse of industrial wastes with high water content. Class F Seyitomer thermal power plant fly ash, an industrial waste, was selected in this study. Turbidity, sedimentation and filtration experiments were carried out using anionic and cationic polymers and polypropylene synthetic fiber to investigate the effect of polymers and fibers on the dewatering of fly ash. The use of polymers was determined to significantly accelerate filtration and soil sedimentation speed while leading to a slight increase in the volume of the filter cake. When effective polymer and dosage are used, slurry filtration time can be reduced up to one-eighth of the time and dewatering can be achieved much faster. The addition of synthetic fiber accelerated the sedimentation of the slurry and increased the filtration in the vertical direction, while it did not show a significant effect on the total filtration in two-dimensional filtration. In geotextile tube applications, although one-dimensional filtration experiments might give misleading results in terms of estimating the effectiveness of the polymers used in solid–liquid separation and dewatering times, the jar test, sedimentation and two-dimensional filtration experiments were determined to give compatible and more realistic results. In two-dimensional filtration experiments, approximately 75% of the filtration occurred in the radial direction and the dewatering time was approximately 21–55% of the time estimated by one-dimensional filtration experiment. Geotextile tube dewatering design can be made more predictable and cost-effective in the field by performing small-scale laboratory experiments with the two-dimensional filtration test system designed for this study and various dewatering applications.

使用土工织物管进行脱水应用,是为了处理或再利用含水量高的工业废物。本研究选择了 F 级 Seyitomer 热电厂粉煤灰这种工业废物。使用阴离子和阳离子聚合物以及聚丙烯合成纤维进行了浊度、沉淀和过滤实验,以研究聚合物和纤维对粉煤灰脱水的影响。结果表明,使用聚合物可显著加快过滤和土壤沉降速度,同时使滤饼体积略有增加。如果使用有效的聚合物和剂量,泥浆过滤时间最多可缩短八分之一,脱水速度也会更快。合成纤维的加入加速了泥浆的沉淀,增加了垂直方向的过滤量,但对二维过滤的总过滤量影响不大。在土工织物管的应用中,虽然一维过滤实验在估计聚合物在固液分离和脱水时间方面的效果时可能会产生误导性结果,但罐式试验、沉淀和二维过滤实验确定的结果是一致的,也更符合实际情况。在二维过滤实验中,约 75% 的过滤发生在径向,脱水时间约为一维过滤实验估计时间的 21-55%。通过使用为本研究和各种脱水应用而设计的二维过滤测试系统进行小规模实验室实验,可以提高土工织物管脱水设计的可预测性和现场成本效益。
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引用次数: 0
Analysis of Post-expansion Performance of Expansion Liner Hanger Based on Surface Texture 基于表面纹理的膨胀衬板支吊架膨胀后性能分析
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-08-02 DOI: 10.1007/s13369-024-09204-1
Changshuai Shi, Zhaosu Yuan, Meipeng Ren, Xiaohua Zhu, Junyan Wang

In view of the application of expandable liner hanger in high-temperature environment of deep and ultra-deep wells, the attenuation of rubber mechanical properties leads to sealing failure, and the leakage of metal sealing surface after bulging of pure metal expansion body, the surface texture technology is used to improve the suspension force and sealing performance of expandable liner hanger body. In this paper, the influence of expansion body material, interference, surface texture structure parameters (depth, width and quantity) on the suspension force and sealing effect of expansion liner hanger is studied. The results show that the surface texture can effectively improve the metal sealing effect of the expansion liner hanger, so as to meet the sealing requirements; when the expansion body material is 20 G, the texture depth is 0.015 mm, the width is 2 mm, the number is 7 and the expansion rate is 7%, the suspension force of the expansion body can reach 394.606 kN, and the sealing requirement can reach 50 MPa.

针对可膨胀衬管悬挂器在深井、超深井高温环境下的应用,橡胶力学性能衰减导致密封失效,纯金属膨胀体鼓包后金属密封面渗漏等问题,采用表面纹理技术提高可膨胀衬管悬挂器本体的悬挂力和密封性能。本文研究了胀形体材料、过盈量、表面纹理结构参数(深度、宽度和数量)对胀形衬板吊架悬挂力和密封效果的影响。结果表明,表面纹理可有效改善胀紧衬板吊架的金属密封效果,从而满足密封要求;当胀紧体材料为 20 G、纹理深度为 0.015 mm、宽度为 2 mm、数量为 7、胀紧率为 7% 时,胀紧体的悬挂力可达到 394.606 kN,密封要求可达到 50 MPa。
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引用次数: 0
Insight into Natural Convection and Magnetic Energy Dynamics within a Triple Enclosure Filled with Ferrofluid 对充满铁流体的三层围护结构内自然对流和磁能动力学的深入研究
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-30 DOI: 10.1007/s13369-024-09301-1
Mohamed Bechir Ben Hamida, Ahmad Hajjar, AbdulAziz A. AlGhamdi, Mohsen Izadi, Mohamed H. Mohamed, Faris Alqurashi

A passive way to control heat transfer through porous media is the use of permanent magnetic field with ferromagnetic fluids as the working fluids. Here, two-energy equation model is applied to model heat transfer inside a Porous separated triple enclosure exposed to permanent magnetic field. Two magnets are located at two positions in the cavity. The bottom wall is kept at a constant hot temperature, while the side walls are cold, and the upper ones are adiabatic. The magnetization of the ferrofluid was modeled by The Langevin function. Finite volume-based finite element method has been used to solve the nonlinear governing equations. Key parameters including magnetic and thermal Rayleigh numbers, dimensionless convection coefficient at two-phase interface, porosity coefficient and Darcy number on combined natural-magnetic heat transfer is investigated. The results indicate that the magnetic convection inhibits the natural one for high Rayleigh. Both the fluid and the solid matrix medium are affected by the interfacial Convection coefficient. Raising the porosity and Darcy number enhances heat transfer, but the effect of the porosity is more limited for low Darcy numbers.

控制多孔介质传热的一种被动方法是使用永久磁场和铁磁性流体作为工作流体。在此,我们采用双能方程模型来模拟暴露在永磁场下的多孔分离式三层外壳内的热传递。两块磁铁分别位于空腔的两个位置。底壁保持恒定的热温度,侧壁为冷温度,上壁为绝热温度。铁流体的磁化由朗格文函数模拟。采用基于有限体积的有限元法求解非线性控制方程。研究了关键参数,包括磁雷利数和热雷利数、两相界面的无量纲对流系数、孔隙度系数和达西数对自然-磁联合传热的影响。结果表明,当雷利数较高时,磁对流会抑制自然对流。流体和固体基质介质都受到界面对流系数的影响。提高孔隙率和达西数可以增强传热,但在低达西数情况下,孔隙率的影响较为有限。
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引用次数: 0
HMS-IDS: Threat Intelligence Integration for Zero-Day Exploits and Advanced Persistent Threats in IIoT HMS-IDS:针对 IIoT 中的零日漏洞和高级持续性威胁的威胁情报集成
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-10 DOI: 10.1007/s13369-024-08935-5
Kumar Saurabh, Vaidik Sharma, Uphar Singh, Rahamatullah Khondoker, Ranjana Vyas, O. P. Vyas

Critical Industries such as Manufacturing, Power, and Intelligent Transportation are increasingly using IIoT systems, making them more susceptible to cyberattacks. To counter these cyberattacks, policymakers have made strong guidelines, and various security provisions like secure authentication and encryption mechanisms as effective countermeasures for these systems. The exponential rise in cyberattacks has proven that all these measures are not sufficient to protect IIoT systems and have certain limitations. Considering the progress in Artificial Intelligence, it is widely acknowledged that Machine Learning (ML) based Intrusion Detection Systems (IDS) hold significant potential for identifying these cyberattacks. Numerous ML-based IDS have been proposed, which are capable of detecting known attacks but do not perform well in recognizing the “Unknown-Attacks” or Zero-Day Attacks (ZDAs) and Advanced Persistent Threats (APTs); hence, one of the most prominent concerns in the cyber industry is how threat intelligence could be used to protect against these exploits. The proposed “Hybrid Multi-Stage Intrusion Detection System” (HMS-IDS) is driven by supervised and unsupervised approaches to identify both known and unknown cyber-attacks in IIoT environments. By carefully evaluating the esteemed CIC-ToN-IoT dataset, the proposed IDS model attains staggering levels of accuracy, reaching an impressive 99.49% in detecting known attacks and an exceptional 98.936% in identifying unknown attacks. These compelling findings unequivocally substantiate the system’s efficacy in real-time detection of malicious cyber incursions targeting IIoT devices, thereby underscoring its tremendous potential for wide-scale implementation and practical deployment. To validate the proposed model’s reliability, the performance evaluation is also performed on state-of-the-art datasets, namely KDD-99 Cup, NSL-KDD, CICIDS 2017.

制造业、电力和智能交通等关键行业越来越多地使用物联网系统,这使它们更容易受到网络攻击。为了应对这些网络攻击,决策者制定了强有力的指导方针和各种安全规定,如安全认证和加密机制,作为这些系统的有效对策。网络攻击的指数式增长证明,所有这些措施都不足以保护 IIoT 系统,而且有一定的局限性。考虑到人工智能的进步,人们普遍认为基于机器学习(ML)的入侵检测系统(IDS)在识别这些网络攻击方面具有巨大潜力。已提出的许多基于 ML 的 IDS 能够检测已知攻击,但在识别 "未知攻击 "或零日攻击(ZDA)和高级持续性威胁(APT)方面表现不佳;因此,网络行业最关注的问题之一是如何利用威胁情报来防范这些攻击。所提出的 "混合多阶段入侵检测系统"(HMS-IDS)由监督和非监督方法驱动,可识别物联网环境中已知和未知的网络攻击。通过仔细评估备受推崇的 CIC-ToN-IoT 数据集,所提出的 IDS 模型达到了惊人的准确率水平,在检测已知攻击方面达到了令人印象深刻的 99.49%,在识别未知攻击方面达到了卓越的 98.936%。这些令人信服的发现明确证实了该系统在实时检测针对物联网设备的恶意网络入侵方面的功效,从而彰显了其在大规模实施和实际部署方面的巨大潜力。为了验证所提模型的可靠性,还在 KDD-99 Cup、NSL-KDD、CICIDS 2017 等最先进的数据集上进行了性能评估。
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引用次数: 0
A Review on the Properties and Application of Carbon Nanotubes as Biological Nanomotors: Advantages and Challenges 碳纳米管作为生物纳米发动机的特性与应用综述:优势与挑战
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-10 DOI: 10.1007/s13369-024-09288-9
Pinki Yadav, Sarita Tyagi, Sunita Negi

Carbon nanotubes (CNTs) are an important class of nanomaterials that have numerous properties which make them promising candidates in technology and industry. CNTs have unique properties and applications due to their higher electrical conductivity, strong strength, flexibility, small size etc. They have a very high strength to weight ratio as compared to other drug delivery systems. Therefore, CNTs can be a very good candidate for application in the medical field. Previously, the application of CNTs has been emphasized in the medical field as these can be used as nanomotors to deliver drugs inside human/animal body. A nanomotor is a nanoscale device which can convert externally supplied energy into mechanical motion. In this review we discussed the various types of nanomotors based on their structure and propulsion mechanism. We focused on the different types of biological nanomotors and their applications in the drug delivery systems. We reviewed how biological nanomotors behave when some external drugs are attached on its sidewall/ends using Molecular Orbital PACkage (MOPAC) software. By using this method, CNT based nanomotors can also be used in other fields such as water purification, air purification, sensing etc. The main advantages and the challenges in these applications are also discussed towards the end of this review.

碳纳米管(CNT)是一类重要的纳米材料,具有多种特性,因此在技术和工业领域大有可为。由于具有较高的导电性、较强的强度、柔韧性和较小的尺寸等,碳纳米管具有独特的性能和应用。与其他给药系统相比,它们具有非常高的强度重量比。因此,碳纳米管可以很好地应用于医疗领域。此前,CNT 在医疗领域的应用一直受到重视,因为它们可用作纳米电机,在人体/动物体内输送药物。纳米电机是一种可将外部提供的能量转化为机械运动的纳米级装置。在这篇综述中,我们根据纳米马达的结构和推进机制讨论了各种类型的纳米马达。我们重点讨论了不同类型的生物纳米马达及其在给药系统中的应用。我们使用分子轨道 PACkage (MOPAC) 软件回顾了当一些外部药物附着在生物纳米马达的侧壁/末端时,生物纳米马达的表现。利用这种方法,基于碳纳米管的纳米马达还可用于其他领域,如水净化、空气净化、传感等。本综述的最后还讨论了这些应用的主要优势和挑战。
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引用次数: 0
Materials Selection for Micro/Nanoscale Phononic Crystals with Wide Bandgaps 微/纳尺度宽带隙声晶的材料选择
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-10 DOI: 10.1007/s13369-024-09130-2
Zayd C. Leseman

The goal of this work is to determine the widest bandgaps possible for Phononic Crystals (PnCs) operating in the MHz–GHz frequency range by using the Planes Approximation Method (PAM). MHz–GHz PnCs have micro/nanoscale features which must be fabricated in a cleanroom with cleanroom compatible materials. 1D and 2D simulations are performed, using PAM, for bimaterial (two-material) phononic crystals for 41 cleanroom compatible materials to determine the widest bandgaps. 1D results yield a monotonic, characteristic curve demonstrating a logarithmic relationship between the gap/midgap ratio and normalized impedance with an R2 value of 0.965. 2D simulations with circular inclusions on a square lattice demonstrate an increasing linear trend for the gap/midgap ratio and normalized impedance. The interplay between the (Gamma {text{X}}) and (Gamma {text{M}}) directions cause deviations from monotonicity.

这项工作的目标是利用平面逼近法 (PAM),确定在 MHz-GHz 频率范围内工作的 Phononic Crystals (PnC) 的最宽带隙。MHz-GHz PnC 具有微米/纳米级特征,必须在洁净室中使用洁净室兼容材料制造。使用 PAM 对 41 种洁净室兼容材料的双材料(两种材料)声子晶体进行了一维和二维模拟,以确定最宽带隙。一维结果产生了一条单调的特征曲线,显示了间隙/中隙比与归一化阻抗之间的对数关系,R2 值为 0.965。用方形晶格上的圆形夹杂物进行的二维模拟表明,间隙/中间间隙比和归一化阻抗呈线性上升趋势。伽马和伽马方向之间的相互作用导致了单调性的偏离。
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引用次数: 0
Role of Edge Groups in Defining the Stability of Aromatic Molecules Under Electron Irradiation 边缘基团在确定芳香族分子在电子辐照下的稳定性中的作用
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-06 DOI: 10.1007/s13369-024-09169-1
Y. Tong, M. Alsalama, G. R. Berdiyorov, H. Hamoudi

Electron irradiation is known to be an important physical tool in tuning the properties of self-assembled organic molecules. Here, we use X-ray photoelectron spectroscopy (XPS) measurements to study the effect of electron bombardment on the structural properties of dithiol aromatic molecules, where the sulfur atoms are either in direct conjugation with phenyl rings (case of Biphenyl-4,4′-dithiol, BPN) or separated by a methylene group (case of 5,5′-bis(mercaptomethyl)-2,2′-bipyridine, BPD). The former molecule shows enhanced stability against the electron irradiation, whereas the presence of the saturated CH2 group results in considerable reduction of both carbon and sulfur contents in the XPS spectra after irradiation (around 5%). Qualitative description of the experimental results is given through bond distance-dependent total energy calculations and structural and electronic structure analysis within density functional theory. The simulation results show that the binding energy of the thiol unit to the molecule decreases by more than 15% by including the CH2 group. This effect becomes even more pronounced when extra electrons are injected to the system. The simulation results predict the easy removal of the edge group of the BPD molecules upon irradiation as compared to BPN SAMs. Our findings show the importance of the oligomeric units in altering the properties of thiol-terminated molecular self-assemblies by electron irradiation.

众所周知,电子辐照是调整自组装有机分子性质的重要物理工具。在这里,我们利用 X 射线光电子能谱(XPS)测量方法研究了电子轰击对二硫醇芳香分子结构特性的影响,在这些分子中,硫原子要么与苯基环直接共轭(如联苯-4,4′-二硫醇,BPN),要么被亚甲基分隔(如 5,5′-双(巯基甲基)-2,2′-联吡啶,BPD)。前一种分子在电子辐照下显示出更强的稳定性,而饱和 CH2 基团的存在则导致辐照后 XPS 光谱中碳和硫含量的大幅降低(约 5%)。通过密度泛函理论中与键距相关的总能量计算以及结构和电子结构分析,对实验结果进行了定性描述。模拟结果表明,加入 CH2 基团后,硫醇单元与分子的结合能降低了 15%以上。当系统中注入额外的电子时,这种效果会更加明显。模拟结果预测,与 BPN SAM 相比,BPD 分子的边缘基团在辐照时很容易被去除。我们的研究结果表明了低聚单元在电子辐照下改变硫醇端分子自组装特性的重要性。
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引用次数: 0
Optimal Selection of a Sustainable Passive Heat Transfer Enhancement Technique for Circular Pipe Heat Exchanger Using MCDM Framework 利用 MCDM 框架为圆管热交换器优化选择可持续的被动传热增强技术
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-02 DOI: 10.1007/s13369-024-09289-8
V. Soumith, A. Biswas, S. Nath

Circular pipe heat exchangers, widely used in process industries, rely on passive heat transfer augmentation techniques like twisted tape inserts to enhance thermal performance. The challenge lies in identifying the optimal insert design. This study applies hybrid multi-criteria decision-making (MCDM) techniques to address this challenge, aiming to identify the best twisted tape insert configuration for maximizing heat exchanger efficiency. For developing the method, twenty-one passive enhancement techniques have been identified. This study employs a holistic approach, considering eight parameters (surface–volume ratio, Nusselt number, friction factor, thermal performance factor, total investment cost, cost per efficiency and CO2 emissions) across four criteria (geometric, thermo-hydraulic, economic and environmental criteria) to optimize resource utilization while reducing environmental impact and minimizing costs. The Entropy-CRITIC (Criteria importance through inter-criteria correlation) weighing method (ECWM) was employed to find the weights of all parameters, and ranking of alternatives was done by TOPSIS (Technique of order preference similarity to ideal solution), COPRAS (Complex proportional assessment) and CoCoSo (Combined compromise solution) MCDM methods. These hybrid approaches, combining objective weighting with MCDM ranking, facilitated the identification of ideal twisted tape inserts. To ensure the robustness of the MCDM methods, sensitivity analysis, Spearman rank correlation and rank reversal techniques were employed for validation. COPRAS emerged as the most robust MCDM method, indicating cross-cut twisted tape as the optimal solution for heat transfer augmentation. This research demonstrates the effectiveness of MCDM techniques in selecting optimal sustainable passive inserts for enhancing the thermal performance of circular pipe heat exchangers.

广泛应用于加工工业的圆管热交换器依靠被动传热增强技术(如扭曲带插入件)来提高热性能。确定最佳插入件设计是一项挑战。本研究采用混合多标准决策(MCDM)技术来应对这一挑战,旨在确定最佳的扭曲带插入配置,以最大限度地提高热交换器的效率。为制定该方法,确定了 21 种被动增强技术。这项研究采用了一种整体方法,考虑了四个标准(几何标准、热液标准、经济标准和环境标准)中的八个参数(表面体积比、努塞尔特数、摩擦因数、热性能系数、总投资成本、单位效率成本和二氧化碳排放量),以优化资源利用率,同时减少对环境的影响并将成本降至最低。采用熵-CRITIC(通过标准间相关性确定标准重要性)权重法(ECWM)确定所有参数的权重,并通过 TOPSIS(与理想解决方案相似的顺序偏好技术)、COPRAS(复杂比例评估)和 CoCoSo(组合折中解决方案)等 MCDM 方法对备选方案进行排序。这些混合方法将客观加权与 MCDM 排序相结合,有助于确定理想的扭曲胶带插入件。为确保 MCDM 方法的稳健性,采用了灵敏度分析、斯皮尔曼等级相关性和等级反转技术进行验证。COPRAS 成为最稳健的 MCDM 方法,表明横切扭曲带是增强传热的最佳解决方案。这项研究证明了 MCDM 技术在选择最佳可持续无源插入件以提高圆管热交换器热性能方面的有效性。
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引用次数: 0
Uniformly Loaded Logarithmic Beam Mode with Spatially Varying Flexural Rigidity 具有空间变化挠曲刚度的均匀加载对数梁模式
IF 2.6 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2024-07-02 DOI: 10.1007/s13369-024-09275-0
Mustafa Turkyilmazoglu

This analysis explores natural leading modes represented by logarithmic functions, achieved by imposing four boundary constraints at the ends of an elastic inhomogeneous beam. The beam possessing constant material inertia, is assumed to be uniformly loaded, and is composed of material with variable stiffness. It is sought analytical expressions for beam deflections in terms of logarithmic functions. Our findings demonstrate that such formulae can be derived for a beam under axially uniform load and with spatially distributed flexural rigidity. Subsequently, the beam shapes and material properties for four specific scenarios are identified: free-free logarithmic beam, cantilevered logarithmic beam, simply-supported logarithmic beam, and simply-supported sliding logarithmic beam. Explicit logarithmic beam responses, governed by a limited number of shape parameters, are illustrated graphically using normalized deflections with respect to the maximum deflection. Highly deflected elastic logarithmic modes emerge as a consequence of high flexural rigidity influenced by the uniformly applied transverse load. These elucidated logarithmic beam modes offer potential practical applications in the structural design of functionally graded materials. They also serve as valuable testing platforms for numerical techniques employed in the analysis of more complex beam problems.

该分析通过在非均质弹性梁的两端施加四个边界约束,探索以对数函数表示的自然前导模态。该梁具有恒定的材料惯性,假定受到均匀载荷,并由刚度可变的材料组成。我们寻求以对数函数表示的梁挠度的分析表达式。我们的研究结果表明,对于轴向均布载荷和空间分布挠曲刚度的梁,可以推导出这样的公式。随后,我们确定了四种特定情况下的梁形状和材料属性:自由无对数梁、悬臂对数梁、简支撑对数梁和简支撑滑动对数梁。利用相对于最大挠度的归一化挠度,图解了受数量有限的形状参数制约的显式对数梁响应。由于受均匀施加的横向荷载影响,挠曲刚度较高,因此出现了高挠曲弹性对数模式。这些已阐明的对数梁模式为功能分级材料的结构设计提供了潜在的实际应用。它们也是分析更复杂梁问题时所采用的数值技术的宝贵测试平台。
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引用次数: 0
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