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DETERMINATION OF THE FORCE IMPACT OF AN ION THRUSTER PLUME ON AN ORBITAL OBJECT VIA DEEP LEARNING 通过深度学习确定离子推力器羽流对轨道物体的力影响
IF 0.4 Q4 Engineering Pub Date : 2022-10-28 DOI: 10.15407/knit2022.05.015
M. Redka, S. Khoroshylov
The subject of research is the process of creating a neural network model (NNM) for determining the force impact of an ion thruster (IT) plume on an orbital object during non-contact space debris removal. The work aims to develop NNMs and study the influence of various factors on the accuracy of determining the force transmitted by the ion plume of the thruster to a space debris object (SDO). The tasks to resolve are to choose the structures of the NNMs, form a data set and use this data to train and validate the NNMs, and to explore the influence of the model structure and optimizer parameters on the accuracy of force determination. The methods used are plasma physics, computer simulation, deep learning, and optimization using an improved version of stochastic gradient descent. As a result of research, three NNMs have been developed, which differ in the number of hidden layers and neurons in hidden layers. For training and validation of the NNMs, a data set was generated for an SDO approximated by a cylinder using an autosimilar description of the ion plasma propagation. The data set was obtained for various relative positions and orientations of the object in the process of its removal from an orbit. Using this data set, the NNM parameters were optimized with the supervised learning method. The optimizer and its parameters are selected, providing a small error at the stage of validating learning outcomes. It was found that the accuracy of determining the force depends on the relative position and orientation of the SDO, as well as the architecture of the NNM, and the features of this influence were identified. The approach applied allows us to obtain the possibility of using methods of deep learning to determine the force impact of the IT plume on the SDO. The proposed models provide the accuracy of the force impact determination, which is sufficient for solving the considered class of problems. At the same time, NNM makes it possible to obtain results much faster in comparison with the methods used previously. This fact makes the NNMs promising to use both on-board and in mathematical modeling of missions to remove space debris.
研究的主题是创建一个神经网络模型(NNM)的过程,用于确定离子推进器(IT)羽流在非接触式空间碎片清除过程中对轨道物体的力影响。该工作旨在开发NNMs,并研究各种因素对确定由推进器离子羽流传递给空间碎片物体(SDO)的力的准确性的影响。要解决的任务是选择NNMs的结构,形成一个数据集并使用该数据集对NNMs进行训练和验证,并探索模型结构和优化器参数对力确定精度的影响。使用的方法是等离子体物理、计算机模拟、深度学习和使用改进版本的随机梯度下降的优化。通过研究,我们开发了三种不同隐藏层数量和隐藏层神经元数量的神经网络。为了训练和验证NNMs,使用离子等离子体传播的自相似描述,为SDO生成了一个数据集。该数据集用于获得目标在其从轨道移除过程中的各种相对位置和方向。利用该数据集,采用监督学习方法对NNM参数进行优化。选择优化器及其参数,在验证学习结果的阶段提供一个小误差。研究发现,确定力的精度取决于SDO的相对位置和方向,以及NNM的结构,并确定了这种影响的特征。所应用的方法使我们能够获得使用深度学习方法来确定IT羽流对SDO的力影响的可能性。所提出的模型提供了力冲击确定的准确性,足以解决所考虑的一类问题。同时,与以前使用的方法相比,NNM可以更快地获得结果。这一事实使得NNMs有望同时使用机载和任务的数学建模来清除空间碎片。
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引用次数: 1
Study of the influence of rubber on stremgth properties of carbon plastic 橡胶对碳塑料强度性能影响的研究
IF 0.4 Q4 Engineering Pub Date : 2022-10-28 DOI: 10.15407/knit2022.05.067
The use of elastomers allows us to purposefully change the structure of epoxy compositions, which largely determines the characteristics. Of particular interest are elastomers, such as silicone and polyurethane rubbers. In experimental works for the manufacture of carbon fiber plates, we used the method of manual molding with mechanical pressing. This technology is economical, does not require large labor costs, and less material consumption than when using other methods of formation. The effect of polyurethane and silicone rubbers as modifiers of increasing the impact strength of epoxy resin Etal-Inject-T hot curing has been studied. To determine the compressive strength of carbon fiber, the samples were tested on a universal test machine MUP200. The impact strength of carbon fiber was determined by the Charpy method. It is established that polyurethane and silicone rubbers have the same qualitative effect on the properties of epoxy resins. When modifying carbon fiber with polyurethane rubber with an increase in the content of up to 10%, the impact strength of carbon fiber increases to a maximum of 215 kJ/m2, with a significant increase in compressive strength up to 495 MPa. Optimal results were obtained with polyurethane rubber at 10% content of the substance. The main role of rubber in increasing the strength and elasticity of the material is that when the impact in a small amount of carbon fiber concentrates a lot of mechanical energy, the rubbers are stress concentrators, so the crack arises in the matrix adjacent to the elastomer (rubber). The increase in the toughness of the material can be associated with the formation of a dispersed phase of rubber, which loosens the structure of the cured epoxy resin.
弹性体的使用使我们能够有目的地改变环氧树脂成分的结构,这在很大程度上决定了其特性。特别感兴趣的是弹性体,如硅橡胶和聚氨酯橡胶。在制造碳纤维板的实验工作中,我们采用了手工成型加机械压制的方法。该技术经济,不需要大量的人工成本,与使用其他方法相比,材料消耗更少。研究了聚氨酯和硅橡胶作为改性剂对环氧树脂热固化抗冲击强度的影响。为了确定碳纤维的抗压强度,在MUP200万能试验机上对样品进行了测试。采用Charpy法测定了碳纤维的冲击强度。确定了聚氨酯和硅橡胶对环氧树脂性能的定性影响是相同的。当用聚氨酯橡胶改性碳纤维,其含量增加10%时,碳纤维的冲击强度最大可提高至215 kJ/m2,抗压强度显著提高,可达495 MPa。当该物质的含量为10%时,聚氨酯橡胶的效果最佳。橡胶增加材料强度和弹性的主要作用是,当少量碳纤维的冲击集中了大量的机械能时,橡胶是应力集中器,因此在与弹性体(橡胶)相邻的基体中产生裂纹。材料韧性的增加可能与橡胶分散相的形成有关,这使固化的环氧树脂的结构松动。
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引用次数: 0
Machine learning technique for morphological classification of galaxies from the SDSS. III. The CNN image-based inference of detailed features SDSS星系形态分类的机器学习技术。III、 基于CNN图像的细节特征推理
IF 0.4 Q4 Engineering Pub Date : 2022-09-25 DOI: 10.15407/knit2022.05.027
V. Khramtsov, I. Vavilova, D. Dobrycheva, M. Vasylenko, O. V. Melnyk, A. Elyiv, V. Akhmetov, A. Dmytrenko
This paper follows a series of our works on the applicability of various machine learning methods to morphological galaxy classification (Vavilova et al., 2021, 2022). We exploited the sample of ~315800 low-redshift SDSS DR9 galaxies with absolute stellar magnitudes of −24m < Mr < −19.4m at 0.003 < z < 0.1 redshifts as a target data set for the CNN classifier. Because it is tightly overlapped with the Galaxy Zoo 2 (GZ2) sample, we use these annotated data as the training data set to classify galaxies into 34 detailed features. In the presence of a pronounced difference in visual parameters between galaxies from the GZ2 training data set and galaxies without known morphological parameters, we applied novel procedures, which allowed us for the first time to get rid of this difference for smaller and fainter SDSS galaxies with mr < 17.7. We describe in detail the adversarial validation technique as well as how we managed the optimal train-test split of galaxies from the training data set to verify our CNN model based on the DenseNet-201 realistically. We have also found optimal galaxy image transformations, which help increase the classifier’s generalization ability. We demonstrate for the first time that implication of the CNN model with a train-test split of data sets and size-changing function simulating a decrease in magnitude and size (data augmentation) significantly improves the classification of smaller and fainter SDSS galaxies. It can be considered as another way to improve the human bias for those galaxy images that had a poor vote classification in the GZ project. Such an approach, like autoimmunization, when the CNN classifier, trained on very good galaxy images, is able to retrain bad images from the same homogeneous sample, can be considered co-planar to other methods of combating such a human bias. The most promising result is related to the CNN prediction probability in the classification of detailed features. The accuracy of the CNN classifier is in the range of 83.3—99.4 % depending on 32 features (exception is for “disturbed” (68.55 %) and “arms winding medium” (77.39 %) features). As a result, for the first time, we assigned the detailed morphological classification for more than 140000 low-redshift galaxies, especially at the fainter end. A visual inspection of the samples of galaxies with certain morphological features allowed us to reveal typical problem points of galaxy image classification by shape and features from the astronomical point of view. The morphological catalogs of low-redshift SDSS galaxies with the most interesting features are available through the UkrVO website (http://ukr-vo.org/galaxies/) and VizieR.
本文介绍了我们关于各种机器学习方法在形态星系分类中的适用性的一系列工作(Vavilova et al.,2022022)。我们利用了约315800个低红移SDSS DR9星系的样本作为CNN分类器的目标数据集,这些星系的绝对恒星星等为−24m
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引用次数: 2
Gravity potential and its component of centrifugal force inside the ellipsoidal planet 椭球行星内部的重力势及其离心力分量
IF 0.4 Q4 Engineering Pub Date : 2022-08-09 DOI: 10.15407/knit2022.04.071
M. Fys, P. Zazuliak, A. Sohor
A method for determining the gravitational potential of a celestial body whose surface is a sphere or ellipsoid with an abrupt mass distribution function is proposed. For these cases, the formulas for determining the internal potential and gravity are obtained. The calculations performed according to these formulas make it possible to analyze the contribution of the ellipticity of the planet to the value of its internal potential and compare it with the magnitude of the centrifugal force for the planets of the Earth group (Earth, Mars, Venus) and the Moon.
提出了一种确定球体或椭球表面具有突变质量分布函数的天体引力势的方法。对于这些情况,得到了确定内势和重力的公式。根据这些公式进行的计算可以分析行星的椭圆度对其内部势能值的贡献,并将其与地球类行星(地球、火星、金星)和月球的离心力大小进行比较。
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引用次数: 0
The concept of information system for providing monitoring of space in order to increase military security 为加强军事安全而提供空间监测的信息系统概念
IF 0.4 Q4 Engineering Pub Date : 2022-08-09 DOI: 10.15407/knit2022.04.003
I. A. Bespalko, L. D. Hrekov, D. V. Pekariev, D. Fedorchuk
The concept of an information system to provide the monitoring of space in order to increase military security is proposed with the accounted-for peculiarities of solving problems by the domestic structures of the security and defense sector. The concept is based on the separation of the functionality of open and specialized parts of the algorithm and software support for analyzing the space situation with the attainment of their compatibility. The results of the capability analysis of the publicly available software, which can be used for the evaluation of the space situation as an additional means, are presented. The functional model of the information system to provide the monitoring of space was developed, and a decomposition of its main functional block — a general assessment of the space situation has been carried out. The main software components of the algorithm and software support for the overall estimating of the space situation are determined: detection and monitoring of space objects, maintenance of the database of space objects, modeling and display of the space situation, and their main tasks are outlined. The structural scheme of the software and hardware complex of the general estimation of space situation is developed. Further ways of research are offered: concretization of the functionality of the components of the algorithms and software support of the general estimation of the space situation, substantiation and development of databases’ structures of space objects and objects of space activity, creation of the relevant software and hardware complexes and check of the adequacy of the used mathematical models, as well as issues of information security.
提出了一个信息系统的概念,以提供空间监测,以增加军事安全,并考虑到由安全和国防部门的国内结构解决问题的特点。这个概念是基于算法的开放和专用部分的功能分离,以及软件支持分析空间情况并实现它们的兼容性。介绍了可作为一种附加手段用于评价空间形势的公开软件的能力分析结果。开发了提供空间监测的信息系统的功能模型,并对其主要功能块进行了分解- -对空间情况进行了总体评估。确定了该算法的主要软件组成部分和空间态势总体估计的软件支撑部分:空间目标的探测与监测、空间目标数据库的维护、空间态势的建模与显示,并概述了它们的主要任务。提出了空间态势综合估计软硬件综合体的结构方案。提出了进一步的研究方法:具体实现算法组成部分的功能和对空间情况的一般估计的软件支持,确定和发展空间对象和空间活动对象的数据库结构,创建相关的软件和硬件复合体,检查所使用的数学模型的充分性,以及信息安全问题。
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引用次数: 0
The influence of the Gaussian curvature sign of the compound shell structure’s middle surface on local and overall buckling under combined loading 复合壳体结构中表面高斯曲率符号对复合载荷下局部和整体屈曲的影响
IF 0.4 Q4 Engineering Pub Date : 2022-08-09 DOI: 10.15407/knit2022.04.031
V. Gristchak, D. V. Hryshchak, N. Dyachenko, V. V. Baburov
The buckling problem of an elastic compound shell structure with a variable Gaussian curvature of the middle surface, especially the middle surface meridian curvature sign, under the action of external pressure and axial loading is considered. In continuation of the previous research of the authors, this paper is devoted, in particular, to examining the influence of the negative Gaussian curvature sign of one of its compartments on stability. The solution is based on using the method of finite differences for basic stability equations of each compartment in the case when one of them can have a negative curvature of the meridian, taking into account the discreteness of the intermediate rib location and their rigidity from the initial curvature plane as well. The obtained solution allows visualizing the buckling modes under various combinations of external loading and identifying rational, according to overall buckling modes, geometric and rigidity parameters of the system being investigated.
研究了中面具有变高斯曲率,特别是中面子午曲率符号变高斯曲率的弹性复合壳结构在外压力和轴向载荷作用下的屈曲问题。在作者先前研究的基础上,本文特别研究了其中一个隔室的负高斯曲率符号对稳定性的影响。在考虑中间肋位置的离散性和初始曲率平面刚度的情况下,采用有限差分法求解各隔室的基本稳定性方程。所得到的解可以可视化各种外部载荷组合下的屈曲模式,并根据所研究系统的整体屈曲模式、几何和刚度参数识别合理的屈曲模式。
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引用次数: 0
From the history of space research in Ukraine. 1. The performance of space research as of 1991 year 从乌克兰的空间研究历史来看。1991年的空间研究成果
IF 0.4 Q4 Engineering Pub Date : 2022-08-09 DOI: 10.15407/knit2022.04.078
Y. Yatskiv
The article displays the material of 1991 from the author’s archive, which is devoted to the problems of space research arrangement and the space industry authority in independent Ukraine. A brief description of the space research level in Ukraine at that time is given. The active participation of Ukraine in the activity of international organizations and the implementation of USSR space programs are highlighted. The significant achievements and acquirements of scientific and design teams in the space research branch are emphasized. Among them, there were the rocket design center DB “Pivdenne” (now — Yangel Yuzhnoye State Design Office), E. O. Paton Electric Welding Institute of NAS of Ukraine, and many other enterprises and scientific institutions in Ukraine. In new conditions, under the newly acquired independence, the formidable task of preserving the aerospace industry of Ukraine arose. Within this task, it was necessary to preserve scientific and developing potential and to provide perspectives for scientific and technical progress. All this was possible only within the framework of the concept that had to be developed and which would contain the main goals of the national politics of Ukraine as an independent state in the branch of exploration and exploitation of space. It was necessary to create the aerospace agency of Ukraine for the coordination of space programs and to develop a law to regulate its activities. One more task was to adopt the state program of space exploration by the Verkhovna Rada, the program, which had to provide for the progress of fundamental and applied space research.
这篇文章展示了作者档案中1991年的材料,该档案专门讨论独立的乌克兰的空间研究安排和空间工业权威问题。简要介绍了乌克兰当时的空间研究水平。强调乌克兰积极参与国际组织的活动和执行苏联的空间方案。强调了空间研究部门科学和设计团队的重大成就和收获。其中,有火箭设计中心DB“Pivdenne”(现为Yangel Yuzhnoye国家设计办公室)、乌克兰NAS的E.O.Paton电焊研究所以及乌克兰的许多其他企业和科学机构。在新的条件下,在新获得的独立下,保护乌克兰航空航天工业的艰巨任务出现了。在这项任务中,有必要保持科学和发展潜力,并为科学和技术进步提供前景。所有这一切只有在必须发展的概念框架内才有可能实现,该概念将包含乌克兰作为一个独立国家在探索和开发空间领域的国家政治的主要目标。有必要成立乌克兰航空航天局,负责协调太空计划,并制定一项法律来规范其活动。另一项任务是通过最高拉达的国家太空探索计划,该计划必须为基础和应用太空研究的进展提供条件。
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引用次数: 1
Analytical model of satellite motion in almost circular orbits under the influence of zonal harmonics of geopotential 位势纬向谐波影响下卫星在近似圆形轨道上运动的解析模型
IF 0.4 Q4 Engineering Pub Date : 2022-08-09 DOI: 10.15407/knit2022.04.018
A. Pirozhenko, A. Maslova, V. Vasyliev
The article deals with the movement of satellites in low near-circular orbits of the Earth. An analytical model is constructed, which consists of formulas describing the change of the osculating elements and averaged equations. An algorithm for constructing a second approximation of the influence of zonal harmonics of the geopotential on the movement of satellites in almost circular orbits is presented. For the second and third zonal harmonics, formulas are given for the osculating and average elements describing the motion of the satellite in the second approximation in small parameters. The introduction of special variables for almost circular orbits made it possible to significantly simplify the procedure for constructing the second approximation of the influence of zonal harmonics. The article provides a justification for the accuracy of the analytical model for the considered orbits. The constructed model of changes in the average elements of the orbit describes the basic principles of motion. With a sufficiently high accuracy, this model describes the changes in the average elements of the orbit with simple analytical formulas and is convenient for analyzing the properties of orbits and pre-selecting a reference orbit for a specific mission.
这篇文章讨论了卫星在近地圆形低轨道上的运动。建立了一个分析模型,该模型由描述密切元变化的公式和平均方程组成。提出了一种构造位势纬向谐波对卫星在近似圆形轨道上运动影响的二次近似算法。对于二次和三次纬向谐波,给出了在小参数的二次近似中描述卫星运动的密切元和平均元的公式。为几乎圆形的轨道引入了特殊变量,这使得构造纬向谐波影响的二次近似的过程变得可能。这篇文章为所考虑轨道的分析模型的准确性提供了理由。所构建的轨道平均元素变化模型描述了运动的基本原理。该模型具有足够高的精度,用简单的分析公式描述了轨道平均元素的变化,便于分析轨道特性和为特定任务预先选择参考轨道。
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引用次数: 1
Creation of the Ukrainian meteor observation network: instruments, methods for processing, observatin possibilities 乌克兰流星观测网的建立:仪器,处理方法,观测的可能性
IF 0.4 Q4 Engineering Pub Date : 2022-08-09 DOI: 10.15407/knit2022.04.039
A. Golubaev, Y. Gorbanev, O. Shulga, О. А. Andreev, F. Bushuev, A. Vidmachenko, B. Hrudynin, B. Zhilyaev, M. Kaliuzhnyi, P. Kozak, M. O. Kulichenko, Y. Malynovskyi, А. М. Mozgova, S. Savchuk, A. Steklov, Y. Sumaruk, L. Yankiv-Vitkovska
The development of meteor astronomy in modern Ukraine is considered. The specificity of meteor observation methods requires, first of all, the organization of a network of corresponding observation points. To achieve this goal, it is proposed to combine the scientific and technical capabilities of participating organizations in the form of the Ukrainian Meteor Observation Network (UMON). UMON is a set of two or more permanent observation stations located on the territory of Ukraine, which have the hardware and software for basic and one-sided observations of meteors in different wavelength ranges and conduct such observations. UMON aims to solve important problems of meteor research, structure and evolution of meteor streams and showers, the interaction of meteoroids with the Earth’s atmosphere and their chemical composition. The scientific and technical products of UMON stations are the results of high-precision basic or one-sided observations of meteors in different wavelength ranges, as well as of fundamental and applied scientific and technical research.
讨论了现代乌克兰流星天文学的发展。流星观测方法的特殊性要求,首先要组织相应观测点的网络。为了实现这一目标,建议以乌克兰流星观测网(UMON)的形式将各参与组织的科学和技术能力结合起来。联蒙卫星观测站是位于乌克兰境内的一套两个或两个以上的常设观测站,它们拥有对不同波长范围的流星进行基本和片面观测的硬件和软件,并进行这种观测。UMON旨在解决流星研究、流星雨和流星雨的结构和演化、流星体与地球大气的相互作用及其化学成分等重要问题。UMON站的科技产品是对不同波长范围的流星进行高精度基础或片面观测的结果,以及基础和应用科学技术研究的结果。
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引用次数: 0
RESEARCH AND OPTIMIZATION OF REFURBISHMENT OF HPT BLADES OF THE D-18T AIRCRAFT GAS TURBINE ENGINE BY MICRO-PLASMA POWDER WELDING d-18t飞机燃气涡轮发动机HPT叶片微等离子体粉末焊接修复研究与优化
IF 0.4 Q4 Engineering Pub Date : 2022-07-18 DOI: 10.15407/knit2022.03.003
K. Yushchenko, O. Yarovytsyn, G. D. Khrushchov, I. Petrik, S. L. Chygileichyk
In current work, peculiarities of the micro-plasma powder welding deposition process applied to the batch refurbishment of D-18T aircraft engine HPT blades made of ZhS32-VI nickel superalloy with limited weldability have been studied. It has been demonstrated that extending operating resource over 6-8 thousand hours leads to an increase in ZhS32-VI “base-deposited metal” weld’s cracking susceptibility during welding and subsequent thermal processing operations. It has been shown that providing stable forming of deposited bead on the shroud edge’s surface requires applying nonstationary impulse modes of straight polarity welding current. Considering the significant amount of technological parameters of the process studied, subjective analysis of such welding modes is extremely complicated. We have introduced the method of specifying requirements for such single-layer micro-plasma powder welding deposition modes with welding current in a range of 7-20 A according to the criteria of effective arc heating power and heat input, which involves using the system for registration and digital processing of welding current-welding bead deposition time dependency. Based on the analysis of statistical data on the quantitative evaluation of cracking susceptibility of the investigated weld, the optimal range of average values has been discovered for these generalized welding deposition mode parameters to be applied in a manual or automated process, which provides no more than several percent of cracked blades detected at the end of refurbishment technological cycle. We have shown that significant technological parameters, which affect the amount of technological defects during mentioned blades’ refurbishment, are the average value of effective welding current and ZhS32 superalloy powder quality, primarily determined by oxygen and nitrogen average weight content in its dispersed particles. It was also shown that the increase in average weight content of gas impurities in the filler powder, primarily oxygen, causes a significant increase in energy consumed on deposited bead formation during the micro-plasma powder deposition process. An initial quality control method for the ZhS32-VI filler powder range has been proposed. The method is based on the average weight content of oxygen and nitrogen, evaluated by reducing fusion in transporting gas flow and on evaluation criteria of effective arc heating power and heat input average values of witness sample blades’ refurbishment process and their conformity to previously defined optimal. An evaluation of future application possibilities for registration systems and deposition mode analysis in batch repair conditions of nickel superalloy aircraft parts has been introduced.
本文研究了微等离子体粉末焊接沉积工艺应用于有限焊接性的ZhS32-VI镍高温合金D-18T飞机发动机HPT叶片批量翻新的特点。研究表明,延长作业时间超过6-8千小时,会导致ZhS32-VI“基底沉积金属”焊缝在焊接及后续热加工过程中的开裂敏感性增加。研究表明,要使熔敷焊头在焊罩边缘表面稳定成形,需要施加非稳态直极性焊接电流脉冲模式。考虑到所研究的工艺参数非常多,对这种焊接方式的主观分析是非常复杂的。我们介绍了根据有效电弧加热功率和热输入的标准,确定焊接电流在7-20 a范围内的单层微等离子体粉末焊接沉积模式的要求的方法,其中涉及到使用该系统对焊接电流进行登记和数字化处理。通过对所研究焊缝裂纹敏感性定量评价统计数据的分析,发现了适用于手工或自动化工艺的这些广义焊接沉积模式参数的最佳平均值范围,该范围提供了不超过翻新工艺周期结束时检测到的裂纹叶片的百分之几。结果表明,影响上述叶片翻新过程中工艺缺陷数量的重要工艺参数是有效焊接电流平均值和ZhS32高温合金粉末质量,主要由其分散颗粒中氧和氮的平均重量含量决定。研究还表明,在微等离子体粉末沉积过程中,填充粉末中气体杂质(主要是氧)平均重量含量的增加,导致沉积珠层形成所消耗的能量显著增加。提出了ZhS32-VI填料粉体范围的初步质量控制方法。该方法基于氧和氮的平均重量含量,通过输送气流中的减少熔合来评估,并基于见证样品叶片翻新过程的有效电弧加热功率和热输入平均值及其符合先前定义的最优评价标准。介绍了在飞机镍高温合金零件批量修理条件下,对登记系统和沉积模式分析的应用前景进行了评价。
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引用次数: 0
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