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Exploring a Variant of PTC 4-2013 for Real-Time Performance Monitoring of Fossil Fuel Power Plants 用于化石燃料电厂实时性能监测的PTC 4-2013变体探索
Pub Date : 2022-01-01 DOI: 10.1115/1.4055467
Joseph M. Staller, R. Craven, S. Idem, S. Munukutla, Keith Kirkpatrick, D. Benton, Susan Eisenstadt, Karsten Kopperstad, Seth Leedy, J. McHale, A. Licata, Dan Andrei
This paper describes a real-time performance-monitoring method based on PTC 4-2013 that was developed for determining and reporting the annual heat rate for fossil fuel power plants. Unlike for the PTC 4 test, the coal composition is typically not known in real-time, so the procedure uses a modified output-loss approach applied to a control volume that closely conforms to the boiler. A calibration approach utilizes an ultimate analysis to describe the coal being burned during the calibration, while holding the plant load and other factors steady. This permits the calculation of correction factors used during real-time performance monitoring. Based on several assumptions that are justified within, a real-time estimate of coal composition is obtained. The losses are calculated in a similar manner to PTC 4-2013. However, the losses are expressed on a per-pound of as-fired coal basis, as opposed to a percentage of higher heating value of the coal, which is not known in real-time.
本文描述了一种基于PTC 4-2013的实时性能监测方法,该方法用于确定和报告化石燃料发电厂的年热率。与PTC 4测试不同的是,煤的组成通常是无法实时得知的,因此该程序使用了一种改进的输出损耗方法,应用于与锅炉密切相关的控制体积。校准方法利用最终分析来描述在校准期间燃烧的煤,同时保持电厂负荷和其他因素稳定。这允许计算在实时性能监视期间使用的校正因子。基于几个合理的假设,获得了煤成分的实时估计。损失的计算方法与PTC 4-2013相似。然而,损失是以每磅燃烧后的煤为基础来表示的,而不是以煤的高热值的百分比来表示,这是无法实时知道的。
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引用次数: 1
Plasma-Synthesized Nitrogen-Doped Titanium Dioxide Nanoparticles With Tunable Visible Light Absorption and Photocatalytic Activity 等离子体合成具有可调谐可见光吸收和光催化活性的氮掺杂二氧化钛纳米颗粒
Pub Date : 2022-01-01 DOI: 10.1115/1.4053338
Chad A. Beaudette, Qiaomiao Tu, Mohammad Ali Eslamisaray, U. Kortshagen
Titanium dioxide in its pure wide bandgap “white” form is a non-toxic, efficient, and practical photocatalyst, but predominately absorbs light in the ultraviolet range of the spectrum. The absorption range, however, can be extended into the visible by doping with oxygen vacancies or impurities, such as nitrogen, giving the material a black or brown appearance. To date, nitrogen-doped titanium dioxide has primarily been produced with approaches that require long processing times or multi-step synthesis protocols. Here, we present a fast (timescale of tens of milliseconds) all-gas-phase process, which enables the seamless tuning of the optical properties of titanium dioxide nanoparticles from white to brown. Titanium dioxide particles were synthesized through injection of tetrakis (dimethylamido)titanium (TDMAT), argon, and oxygen into a nonthermal plasma. The positions of the electrode and oxygen inlet relative to the precursor inlet are found to strongly influence particle properties. Variation of these parameters allowed for control over the produced particle optical properties from large bandgap (white) to small bandgap (brown). In addition, the particle microstructure can be tuned from amorphous to crystalline anatase phase titanium dioxide. The photocatalytic performance was tested under solar irradiation and amorphous particles exhibit the highest degree of photocatalytic decomposition of the dyes methyl orange and methylene blue.
纯宽禁带“白色”形式的二氧化钛是一种无毒、高效、实用的光催化剂,但主要吸收光谱范围内的紫外线。然而,通过掺杂氧空位或杂质(如氮),可以将吸收范围扩展到可见范围,使材料呈现黑色或棕色外观。迄今为止,氮掺杂二氧化钛主要是通过需要较长处理时间或多步骤合成方案的方法生产的。在这里,我们提出了一种快速的(几十毫秒的时间尺度)全气相工艺,使二氧化钛纳米颗粒的光学性质从白色到棕色无缝调整。通过在非热等离子体中注入四(二甲酰胺)钛(TDMAT)、氩气和氧气合成二氧化钛颗粒。发现电极和氧气入口相对于前驱体入口的位置强烈地影响颗粒的性质。这些参数的变化允许控制从大带隙(白色)到小带隙(棕色)产生的粒子光学特性。此外,二氧化钛的颗粒微观结构可以从无定形调整到结晶锐钛矿相。在太阳照射下测试了其光催化性能,无定形颗粒对甲基橙和亚甲基蓝染料的光催化分解程度最高。
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引用次数: 1
Hexagonal Twist Origami Pattern for Deployable Space Arrays 可展开空间阵列的六角形扭曲折纸图案
Pub Date : 2022-01-01 DOI: 10.1115/1.4055357
Collin Ynchausti, Clark Roubicek, Joseph Erickson, Brandon Sargent, S. Magleby, L. Howell
The hexagonal twist origami pattern has characteristics that made it a candidate for next-generation deployable space arrays. It has a deployed area that is up to 3.3 times larger than the stowed area, has a single-degree-of-freedom which simplifies actuation, it is flat-foldable making flat positions possible in both stowed and deployed positions, and its rigid foldability means that its motion is enabled by rotation about distinct axes without deformation of its panels. Although the pattern shows promise for deployable systems, it cannot be directly applied with thick materials because of the self-intersection of nesting panels. This paper presents the kinematics and mechanical advantages of the hexagonal twist pattern, addresses the self-intersection problem by implementing five different thickness accommodation techniques and provides metrics for comparing thickness accommodation techniques to determine which would be best suited for a given application. The concepts are demonstrated through two applications: a deployable reflectarray antenna and a LiDAR telescope.
六边形扭曲折纸图案具有使其成为下一代可展开空间阵列的候选者的特征。它的展开区域比存放区域大3.3倍,具有单一自由度,简化了驱动,它是可平折的,使得在存放和展开位置都可以实现平面位置,它的刚性可折叠性意味着它的运动可以围绕不同的轴旋转,而不会变形它的面板。尽管该模式显示出可部署系统的前景,但由于嵌套面板的自交叉,它不能直接应用于厚材料。本文介绍了六边形扭曲图案的运动学和力学优势,通过实现五种不同的厚度调节技术解决了自交问题,并提供了比较厚度调节技术的指标,以确定哪种厚度调节技术最适合给定的应用。这些概念通过两种应用进行了演示:可展开反射天线和激光雷达望远镜。
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引用次数: 3
Comparison of Thermodynamic Performances in Three Geothermal Power Plants Using Flash Steam 三个闪蒸地热发电厂热力性能比较
Pub Date : 2022-01-01 DOI: 10.1115/1.4054038
Aida Farsi, M. Rosen
Three geothermal systems, including single-flash, double-flash, and double-flash connected turbine flash geothermal power plants, are compared in terms of electrical power production and exergy efficiency. In the double-flash connected turbine (double-T) geothermal electrical power production systems, the outlet stream from the first steam turbine is recovered in the mixing chamber and combined with the vapor product of the second separator. The thermodynamic model for the single-flash, double-flash, and double-T geothermal systems is developed using energy and exergy balances for each component of the systems. From the thermodynamic model, the optimum flash chambers pressures, at which the electrical power production is a maximum, can be determined. It is found that, for an input geothermal source temperature of 230 °C and an input geothermal water mass flowrate of 230 kg/s, the optimum pressures for the first flash chamber are 300 kPa, 350 kPa, and 350 kPa for the single-flash, double-flash, and double-T geothermal systems, respectively. The electrical power produced in these systems at their corresponding optimum flashing pressures, respectively, are 16,000 kW, 19,500 kW, and 20,600 kW. Also, for the single-flash, double-flash, and double-T geothermal systems, the exergy efficiency at the optimum flash chamber pressures are found to be 44.2%, 47.1%, and 48.5%, respectively.
对单闪式、双闪式和双闪式连接汽轮机闪式地热发电厂三种地热系统的发电量和火用效率进行了比较。在双闪蒸连接汽轮机(双t)地热发电系统中,第一汽轮机的出口流在混合室中回收,并与第二分离器的蒸汽产物结合。利用系统各组成部分的能量和火用平衡,建立了单闪式、双闪式和双t地热系统的热力学模型。根据热力学模型,可以确定电功率最大时闪蒸室的最佳压力。研究发现,当输入地热源温度为230℃,输入地热水质量流量为230 kg/s时,单闪式、双闪式和双t型地热系统的第一闪蒸室最佳压力分别为300 kPa、350 kPa和350 kPa。这些系统在相应的最佳闪蒸压力下产生的电力分别为16,000 kW, 19,500 kW和20,600 kW。对于单闪、双闪和双t型地热系统,最佳闪室压力下的火用效率分别为44.2%、47.1%和48.5%。
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引用次数: 2
Fourth-Generation District Heating and Motivation Tariffs 第四代区域供热和激励关税
Pub Date : 2022-01-01 DOI: 10.1115/1.4053420
H. Lund, J. E. Thorsen, Steen Schelle Jensen, F. P. Madsen
Future district heating systems and technologies—also known as fourth-generation district heating—have a potentially important role to play in the green transition of societies. The implementation of fourth-generation district heating involves adjustments in the demand side to allow for low temperature supply. In order to facilitate such changes, district heating supply companies have in recent years introduced tariffs with penalties for high return temperatures and benefits for low return temperatures. This paper describes the case of a housing community of 17 buildings in their attempts to adjust to such tariffs as an integrated part of connecting to district heating. Replacing domestic hot water tanks with instantaneous heat exchangers and introducing smart meters resulted in abilities to lower the return temperature from around 40 °C to around 30 °C. However, the current design of the motivation tariffs does not yet fully compensate the consumers because the supply company provides unnecessarily high supply temperatures. Based on such efforts, this paper discusses the fairness and effectiveness of the tariffs and provides recommendations for improving them.
未来的区域供热系统和技术——也被称为第四代区域供热——在社会的绿色转型中发挥着潜在的重要作用。第四代区域供热的实施涉及需求侧的调整,以允许低温供应。为了促进这种变化,区域供热供应公司近年来引入了对高返回温度的惩罚和对低返回温度的好处的关税。本文描述了一个有17栋建筑的住房社区的案例,他们试图调整这种关税,作为连接区域供热的一个组成部分。用瞬时热交换器替换家用热水箱,并引入智能电表,使回水温度从40°C左右降低到30°C左右。然而,目前的激励电价设计还不能完全补偿消费者,因为供应公司提供了不必要的高供应温度。在此基础上,本文讨论了关税的公平性和有效性,并提出了改进关税的建议。
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引用次数: 6
Nuclear Power Coupled With Thermal Energy Storage: Impact of Technical Performance on Economics in an Exemplary Electricity Grid 核电与蓄热耦合:典型电网技术性能对经济性的影响
Pub Date : 2022-01-01 DOI: 10.1115/1.4053419
Fletcher Carlson, J. Davidson
Thermal energy storage (TES) coupled with nuclear energy could be a transformative contribution to address the mismatch in energy production and demand that occur with the expanding use of solar and wind energy. TES can generate new revenue for the nuclear plant and help decarbonize the electricity grid. Prior work by the authors identified two technical approaches to interface TES with nuclear. One, termed the primary cycle TES, charges and discharges the TES within the main Rankine power cycle. The second, termed the secondary cycle TES or SCTES, discharges the TES to a secondary power cycle. The present work analyzes the potential economic benefits of TES in an arbitrage market for a 1050 MWe nuclear plant. The study is the first to provide a realistic quantification of the impacts of changes in capacity factor due to use of TES on revenue and internal rate of return (IRR). The analysis is for a three-year period for peaking powers from 120% to 150% of the conventional nuclear plant for an exemplary deregulated utility represented by the Electric Reliability Council of Texas (ERCOT). The SCTES consistently provides the highest revenue and IRR. The benefits increase with increasing use of TES and variability of electricity prices. The results provide a technically sound understanding of the effects of how TES is integrated with nuclear power on economics and strong economic support for pursuing design and implementation of the SCTES.
热能储存(TES)与核能相结合,对于解决随着太阳能和风能的扩大使用而出现的能源生产和需求不匹配问题,可能是一项变革性的贡献。TES可以为核电站带来新的收入,并帮助电网脱碳。作者先前的工作确定了两种将TES与核连接的技术方法。一种称为主要循环TES,在主要的朗肯电力循环中对TES进行充电和放电。第二种称为二次循环TES或SCTES,将TES放电到二次电力循环。本文分析了1050mwe核电站在套利市场中TES的潜在经济效益。该研究首次对由于使用TES而导致的容量因子变化对收入和内部收益率(IRR)的影响进行了现实的量化分析。该分析针对的是由德州电力可靠性委员会(ERCOT)代表的一家典型的解除管制的公用事业公司,该公司三年期间的峰值功率从传统核电站的120%到150%不等。SCTES始终提供最高的收入和内部收益率。随着TES使用的增加和电价的变化,效益也会增加。研究结果提供了技术上合理的理解,说明如何将工商业污水排放系统与核电相结合对经济的影响,并为设计和实施工商业污水排放系统提供了强有力的经济支持。
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引用次数: 2
A Real-Time Output–Loss Method for Monitoring Heat Rate for Coal-Fired Power Plants 一种用于燃煤电厂热率监测的实时输出损失方法
Pub Date : 2022-01-01 DOI: 10.1115/1.4055627
Joseph M. Staller, R. Craven, S. Idem, S. Munukutla, Keith Kirkpatrick, D. Benton, Susan Eisenstadt, Karsten Kopperstad, Seth Leedy, J. McHale, A. Licata, Dan Andrei
This paper describes a real-time performance monitoring method based on PTC 4-2013 for determining instantaneous heat rates for coal-fired power plants. The calculation protocol uses a modified output–loss approach applied to a control volume that closely conforms to the boiler. The largest energy balance term is the heat transfer rate to the steam, which is known accurately in real-time when the plant employs properly calibrated instrumentation. The first-law energy balance also requires a balanced combustion equation which depends on coal composition, which is not known in real-time. A periodic or alert-driven calibration utilizes an ultimate analysis of a carefully collected coal sample and historic plant data obtained during the collection time of the coal sample. This is used to calculate correction factors for the coal mass flowrate, air preheater leakage, and CO2 and SO2 concentrations at the economizer exit derived from continuous emissions monitoring systems (CEMS) measurements performed at that location. The iterative calculations required to determine the coal composition in real-time are presented. The real-time performance algorithm exhibited significant sensitivity associated with measurements of the steam heat transfer rate, which was the dominant term in the overall boiler energy balance. Other input parameters generally yielded a much lower influence on calculated heat rate. It was concluded that for optimal accuracy of the output–loss method the steam and coal mass flowrates must be measured as accurately as possible.
本文介绍了一种基于PTC 4-2013的燃煤电厂瞬时热率实时监测方法。计算协议采用一种改进的输出损失方法,应用于与锅炉密切相关的控制体积。最大的能量平衡项是蒸汽的传热速率,当工厂采用适当校准的仪器时,可以实时准确地知道。第一定律的能量平衡还需要一个平衡的燃烧方程,这取决于煤的组成,这是不知道的实时。定期或警报驱动的校准利用对精心收集的煤样品和在煤样品收集期间获得的历史工厂数据的最终分析。这用于计算煤质量流量、空气预热器泄漏以及省煤器出口CO2和SO2浓度的校正系数,这些校正系数来自于连续排放监测系统(CEMS)在该地点进行的测量。给出了实时确定煤组分所需的迭代计算方法。实时性能算法对蒸汽换热率的测量显示出显著的敏感性,这是锅炉整体能量平衡的主导因素。其他输入参数通常对计算的热率产生的影响要小得多。结果表明,为了使输出损失法的精度达到最佳,必须尽可能准确地测量蒸汽和煤的质量流量。
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引用次数: 0
Predicting the Aerial Application of Dispersant Onto an Oil Spill 预测空中分散剂在溢油上的应用
Pub Date : 2022-01-01 DOI: 10.1115/1.4055984
M. Teske, G. Whitehouse
The release of dispersant from an aircraft onto an oil spill is simulated using the AGDISPpro computer model, to develop a better understanding of how aircraft type, spray systems, and meteorological conditions affect the prediction of surface deposition. This model, originally developed for predicting the aerial release of pesticides for agricultural spray applications, is ideally suited to simulate the effects of aircraft type and flight condition/configuration, spray system arrangement, wind speed and direction, temperature and relative humidity (evaporation), release height, and spray application rate when spraying an oil spill. Predictions of droplet trajectories from the aircraft to the surface, drop size distributions at the release height, and deposition profiles are compared to two historical datasets for the Lockheed C-130, from field studies conducted in 1982 and 1993. This article shows that model accuracy improves from R2 = 0.411 to 0.827 with the earlier data, to R2 = 0.885 to 0.968 with the later data, most probably because of a better understanding of nozzle locations in the 1993 data. Model accuracy also appears improved when the aircraft flies in an in-wind direction, a configuration strongly recommended in the available literature.
使用agdispro计算机模型模拟飞机上的分散剂对溢油的释放,以更好地了解飞机类型,喷雾系统和气象条件如何影响表面沉积的预测。该模型最初是为预测农业喷雾应用中农药的空中释放而开发的,非常适合模拟喷洒溢油时飞机类型和飞行条件/配置、喷雾系统布置、风速和风向、温度和相对湿度(蒸发)、释放高度和喷雾量的影响。从飞机到地面的液滴轨迹、释放高度的液滴尺寸分布和沉积剖面的预测与洛克希德C-130的两个历史数据集进行了比较,这些数据集来自1982年和1993年进行的实地研究。本文表明,模型精度从早期数据的R2 = 0.411 ~ 0.827提高到后期数据的R2 = 0.885 ~ 0.968,很可能是因为对1993年数据中的喷嘴位置有了更好的理解。当飞机在逆风方向飞行时,模型精度也会得到提高,这是现有文献中强烈推荐的配置。
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引用次数: 0
A Lack of Knowledge Acquisition Can Impair Nuclear Power Plant Safety 缺乏知识获取会影响核电厂的安全
Pub Date : 2022-01-01 DOI: 10.1115/1.4053988
Samuel Miranda, Ralph Caruso
A lack of knowledge acquisition (LOKA), among engineering staff members in supply firms (e.g., vendors), owner/operator utilities (e.g., licensees), and in regulatory agencies (e.g., the NRC), can impair nuclear power plant (NPP) safety in ways that can persist throughout the operating lifetime of an NPP. A LOKA occurs when experienced technical reviewers fail to pass enough information, or technology, to less-experienced technical reviewers. The existence of a LOKA, among technical reviewers, can lead to errors and omissions that can result in misleading or incomplete licensing bases. Eight examples of errors and omissions are presented, each of which is evaluated in the context of physical phenomena, logic, licensing strategy, and effects upon regulation. These errors and omissions could be attributed to several causes, one of which could be a LOKA. Reliable attribution to a LOKA or its causes is not directly addressed, since attention is focused principally upon the safety implications of errors and omissions that may possibly, but not exclusively, be due to a LOKA. The epistemology of a LOKA, which may consider training or human relations, is generally addressed in other studies, which apply to issues that affect more than the nuclear power industry. If those who design, analyze, license, operate, and regulate NPPs do not adequately understand and apply proven engineering principles, standards, and established regulations, critical thinking, and sound logical reasoning, then it could be said that a LOKA exists. A LOKA could hamper the development of defensible conclusions in safety analyses, viable licensing strategies, and fair regulatory judgments. Eight examples of errors and omissions are presented, each of which leads to a conclusion that seems to conflict with an industry standard, a federal regulation, an engineering principle or physical phenomenon, or just plain logic. The examples are generally evaluated in accordance with the requirements of a well-known, oft-cited nuclear industry standard, which is now almost half a century old. This standard was published in 1973 by the American Nuclear Society (ANS) (1973, Nuclear Safety Criteria for the Design of Stationary Pressurized Water Reactor Plants, La Grange Park, IL, ANS-N18.2-1973). It expresses the fundamental principle of nuclear safety and licensing, which is applied by vendors, licensees, and regulators alike. This Standard defines nuclear safety criteria and plant design requirements for plant operating situations or events according to their expected frequencies of occurrence. Those events that have high frequencies of occurrence must not pose a danger to the public. Events that could pose the greatest danger to the public must be limited, by design, to extremely low expected frequencies of occurrence. This concept is implemented by grouping postulated plant situations (or events) into categories that are defined according to their expected frequencies of occurrence. License
在供应公司(如供应商)、业主/运营商公用事业公司(如被许可方)和监管机构(如美国核管理委员会)的工程人员中,缺乏知识获取(LOKA)可能会损害核电厂的安全,并在核电厂的整个运行寿命期间持续存在。当经验丰富的技术审查人员未能将足够的信息或技术传递给经验不足的技术审查人员时,就会发生LOKA。在技术审查人员中存在LOKA可能会导致错误和遗漏,从而导致误导性或不完整的许可基础。提出了8个错误和遗漏的例子,每个例子都在物理现象、逻辑、许可策略和对监管的影响的背景下进行了评估。这些错误和遗漏可归因于几个原因,其中一个可能是LOKA。对于LOKA或其原因的可靠归属没有直接解决,因为注意力主要集中在可能但并非完全由LOKA引起的错误和遗漏的安全影响上。LOKA的认识论可能考虑到培训或人际关系,一般在其他研究中讨论,这些研究适用于影响比核动力工业更大的问题。如果那些设计、分析、许可、运营和管理核电站的人不能充分理解和应用经过验证的工程原理、标准、既定法规、批判性思维和合理的逻辑推理,那么可以说LOKA是存在的。LOKA可能会阻碍安全性分析、可行的许可策略和公平监管判断中可辩护结论的发展。文中给出了8个错误和遗漏的例子,每一个都导致了一个似乎与行业标准、联邦法规、工程原理或物理现象或简单逻辑相冲突的结论。这些例子通常是根据一个众所周知的、经常被引用的核工业标准的要求进行评估的,这个标准现在已经有近半个世纪的历史了。该标准于1973年由美国核学会(ANS)发布(1973年,《固定压水反应堆工厂设计的核安全标准》,La Grange Park, IL, ANS- n18.2 -1973)。它表达了核安全和许可的基本原则,适用于供应商、许可证持有者和监管机构。本标准根据预期发生频率,定义核电厂运行情况或事件的核安全准则和核电厂设计要求。发生频率高的事件不得对公众构成危险。对于可能对公众构成最大危险的事件,必须有计划地控制在极低的预期发生频率之内。这个概念是通过将假定的工厂情况(或事件)分组到根据其预期发生频率定义的类别中来实现的。被许可方必须对每个类别的事件进行分析和评估,以证明事件的后果不超过该类别的指定可接受限度。此外,被许可人必须证明某些事件不会发展成更严重的事件(例如,事件将被归为更严重、后果更高的类别),而不会同时发生独立的故障。也就是说,标准(美国核学会,1973年,《设计稳压水反应堆核电站的核安全标准》,La Grange Park, IL, ANS-N18.2-1973)要求核电站的设计方式必须不允许高频、低后果事件降级为高频、高后果事件。在示例评估中考虑的错误和遗漏可能是由于LOKA以及其他可能的原因造成的。在每个示例中,LOKA就足够了;但没有必要,以产生注意到的错误和遗漏。注意力集中在LOKA的安全含义上,而不是它的认识论。核电工业中的LOKA,包括其监管机构,正在进行中,因为它没有得到承认和补救。
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引用次数: 1
Large Amplitude Free and Forced Vibrations of Functionally Graded Timoshenko Beams Using Coupled Displacement Field Method 耦合位移场法研究功能梯度Timoshenko梁的大振幅自由和强迫振动
Pub Date : 2022-01-01 DOI: 10.1115/1.4055080
P. Sathujoda, Bharath Obalareddy, K. Meera Saheb
The large amplitude vibrations of functionally graded (FG) beams consisting of metal rich layers at the bottom, ceramic rich layers at the top, and a concentrated mass at the mid-span have been studied using coupled displacement field method. Unlike traditional methods, the coupled displacement field method reduces the 2n undetermined coefficients problem, one each for total rotation and transverse displacement distribution of the beam at n modes, to n undetermined coefficients using a coupling equation obtained from the minimization of potential energy principle. A suitable admissible function having single undetermined coefficient has been assumed for total rotation distribution and the corresponding transverse displacement distribution of the beam has been obtained at each mode for hinged-hinged and clamped-clamped FG beams. The equations of motion for large amplitude vibrations of FG beams at each mode in terms of the undetermined coefficients are derived from the conservation of total energy principle. The free vibration problem is solved using harmonic balance method whereas the forced vibration problem is solved using the Newmark-β method to obtain the time response of the undetermined coefficients and the dynamic response of the beam has been computed from the modal superposition method. The proposed coupled displacement field approach has been successfully applied for the first time to study the large amplitude vibrations of FG beams with suitable validations, and the influence of power law index, slenderness ratio, harmonic load, and concentrated mass has been investigated.
采用耦合位移场法研究了由底部富金属层、顶部富陶瓷层和跨中集中质量组成的功能梯度梁的大振幅振动。与传统方法不同,耦合位移场法利用势能最小化原理得到的耦合方程,将梁在n个模态下的总旋转和横向位移分布的2n个待定系数问题减少到n个待定系数。对于铰接-铰接和夹接-夹接FG梁,在各模态下,假定了梁的总转动分布具有单一待定系数的适当容许函数,并得到了相应的横向位移分布。从总能量守恒原理出发,导出了FG梁在各模态下用待定系数表示的大振幅振动方程。自由振动问题采用谐波平衡法求解,强制振动问题采用Newmark-β法求解,得到了待定系数的时间响应,并采用模态叠加法计算了梁的动力响应。本文所提出的耦合位移场方法首次成功地应用于FG梁的大振幅振动研究,并得到了适当的验证,研究了幂律指数、长细比、谐波载荷和集中质量对FG梁的影响。
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引用次数: 0
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