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Quantitative evaluation of properties of structural solutions of electrohydraulic positioning actuators 电液定位执行器结构解性质的定量评价
Pub Date : 2022-12-29 DOI: 10.20535/2521-1943.2022.6.3.267700
Qiang Li, O. Uzunov
Based on the analysis of known electro-hydraulic positioning actuators, its generalized scheme was given, which includes: control unit, command formation unit for reaching given position, executive mechanism, position sensor, and hydraulic energy supply unit. It was determined that the main difference between the actuators lies in the command formation unit, the structural solutions of which are based on four control methods: analog control of fluid supply to reach preset position; discrete control the time of fluid supply to reach preset position; discrete control of fluid supply to reach preset fixed position; discrete control of portioned fluid supply to reach preset position. For various structural solutions of actuators, the influence of the main parameters on their effectiveness in achieving the basic properties was analysed. A quantitative evaluation was proposed, which made it possible to reveal the relationship between the structure and properties of the actuators. The obtained results can be used to develop new effective positional actuators.
在分析已知电液定位执行器的基础上,给出了其广义方案,包括:控制单元、到达给定位置的指令形成单元、执行机构、位置传感器和液压能量供应单元。确定了两种执行器的主要区别在于指令形成单元,其结构解决方案基于四种控制方法:模拟控制流体供应以达到预设位置;离散控制流体供应到达预设位置的时间;对流体供应进行离散控制以达到预设的固定位置;对分配的流体供应进行离散控制以达到预设位置。针对执行机构的各种结构方案,分析了主要参数对其实现基本性能的有效性的影响。提出了一种定量评估方法,使揭示致动器结构与性能之间的关系成为可能。所获得的结果可用于开发新的有效位置致动器。
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引用次数: 0
Application of Laser Thermocycling to Improve the Quality of Plasma Wear-Resistant Coatings 激光热循环在提高等离子耐磨涂层质量中的应用
Pub Date : 2022-12-29 DOI: 10.20535/2521-1943.2022.6.3.268173
L. Golovko, O. Kaglyak, Viktor Romanenko, Mykhaylo Bloshchytsyn
The problem of the article is designed to reveal the proposed, developed and researched new method of improving the adhesion strength of plasma wear-resistant coatings on the outer surfaces of weapons made of high-alloy, heat-resistant steels, using additional cyclic (3-4) times their heating by laser radiation to temperatures of 0.6 – 0.8Tpl for a few milliseconds.The purpose of increasing the resource of use and the quality of the appearance of the weapon by applying wear-resistant coatings with increased adhesion strength to the base using plasma gas-thermal spraying followed by laser thermal cycling.Determination of the main factors and parameters of the process of laser thermocycling of plasma coatings, their interrelationships, development of an algorithm for determining the conditions of laser thermocycling, establishment of the rational range of their values by mathematical modeling and experimental research.The results of mathematical modeling of laser cyclic heating of plasma coatings of HTN of different thicknesses are presented, which allows determining the irradiation parameters that ensure their heating to temperatures at the "coating-substrate" boundary ≤1000ºС, on the surface - to Т< Тpl, at maximum cooling rates. It has been proven that laser thermocycling provides an increase in the adhesion strength of coatings to the base from 14–18 to 90–110 MPa, a decrease in porosity from 10–12% to 7–8%, which is due to the redistribution of alloying components at the “coating–base” interface, with the formation of elements of the metallurgical connection, contributes to a significant increase in wear resistance and a decrease in the coefficient of friction due to the formation of secondary ultradispersed film structures.We consider laser thermocycling of plasma coatings is an effective method of improving their quality and strength of adhesion to the base.
这篇文章的问题旨在揭示提出、开发和研究的提高高合金耐热钢武器外表面等离子体耐磨涂层粘附强度的新方法,通过激光辐射将其加热至0.6–0.8Tpl的温度,持续几毫秒,再循环(3-4)次。目的是通过使用等离子体气体热喷涂和激光热循环在基体上涂覆耐磨涂层,增加武器的使用资源和外观质量。确定等离子体涂层激光热循环过程的主要因素和参数,它们之间的相互关系,开发确定激光热循环条件的算法,通过数学建模和实验研究确定它们的合理值范围。给出了不同厚度HTN等离子体涂层激光循环加热的数学建模结果,该结果允许确定辐照参数,以确保其在最大冷却速率下加热到“涂层-基体”边界≤1000ºС、表面上的温度-Т<Тpl。已经证明,激光热循环使涂层与基体的粘合强度从14–18增加到90–110 MPa,孔隙率从10–12%减少到7–8%,这是由于合金成分在“涂层-基体”界面处的重新分布,以及冶金连接元素的形成,由于二次超分散膜结构的形成,有助于耐磨性的显著增加和摩擦系数的降低。我们认为等离子体涂层的激光热循环是提高其质量和与基体粘附强度的有效方法。
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引用次数: 0
Trends in the world market of material processing equipment in 2002-2021 2002-2021年世界材料加工设备市场趋势
Pub Date : 2022-12-14 DOI: 10.20535/2521-1943.2022.6.3.270288
V. Gnatush
The world engineering industry is an important component of the world economy. The production of material processing machines using the latest technologies contributes to the further increase in the efficiency of the world industry and the quality of products. The promotion of the newest models of machines to the markets of the countries of the world contributes to the harmonization of their development. Therefore, it is relevant to conduct an analysis of statistical data, technical and economic reviews of the world market of material processing machines for 2002-2021 by country and company, as well as to identify trade trends in the short term. It is shown that the world export of material processing equipment during 2002-2021. characterized by instability. If during 2002-2012 the average annual growth rate (CAGR) of the export of these goods was 9.1%, then in the period from 2012 to 2021 it decreased to -2.4%. Among the five product groups of machines, only the export of goods of the group "Machines for processing using physical and chemical methods" during 2002-2021. is characterized by a positive average annual growth rate of 3.8% CAGR. According to the results of 2021 China (share 18.8%), Japan (16.6%) and Germany (15.0%) formed the top three exporters of material processing machines using electrophysicochemical methods. The largest exporters of metalworking centers in 2021. were Japan (share 30.5%), Germany (20.4%) and Taiwan (10.0%). The leaders of the world export of metal-cutting lathes in 2021. were Japan (22.0% share), Germany (13.3%) and the Republic of Korea (11.3%), which together provided 46.6% of global sales. . According to the results of 2021 the market leaders of metal cutting machines (milling, drilling, etc.) are Germany (19.9% share), Italy (13.2%) and China (12.6%), and their combined share is 45.7%. . The world market of grinding machines is dominated by companies from Germany (22.3%), Japan (14.8%), and Switzerland (14.1%). According to the results of 2021 the largest exporters of planing machines were Germany (29.1% share), China (16.6%) and Japan (9.8%), which together make up 55.5% of the value of world exports. Obviously, the further development trend of the market of material processing machines, as well as the global economy, will be determined by the results of the end of the COVID-19 pandemic and the Russian-Ukrainian war
世界工程产业是世界经济的重要组成部分。使用最新技术生产材料加工机器有助于进一步提高世界工业的效率和产品质量。向世界各国市场推广最新型号的机器有助于协调其发展。因此,有必要按国家和公司对2002-2021年世界材料加工机械市场的统计数据、技术和经济评估进行分析,并确定短期内的贸易趋势。显示2002-2021年世界材料加工设备出口情况。以不稳定为特征。如果在2002-2012年期间,这些商品的出口年均增长率(CAGR)为9.1%,那么在2012年至2021年期间,这一增长率降至-2.4%。在五个机器产品组中,2002-2021年期间,只有“使用物理和化学方法加工的机器”组的商品出口。其特点是年均复合年增长率为3.8%。根据2021年的结果,中国(占18.8%)、日本(16.6%)和德国(15.0%)是使用电子物理化学方法的材料加工机械的前三大出口国。2021年最大的金属加工中心出口国。日本(份额30.5%)、德国(份额20.4%)和台湾(份额10.0%)。2021年全球金属切割机床出口的领导者。分别是日本(22.0%的份额)、德国(13.3%)和韩国(11.3%),它们合计占全球销售额的46.6%。根据2021年的结果,金属切削机床(铣削、钻孔等)的市场领导者是德国(19.9%的份额)、意大利(13.2%)和中国(12.6%),它们的总份额为45.7%。世界磨床市场由德国(22.3%)、日本(14.8%)、,根据2021年的结果,最大的刨机出口国是德国(29.1%的份额)、中国(16.6%)和日本(9.8%),它们合计占世界出口额的55.5%。显然,材料加工机市场以及全球经济的进一步发展趋势将取决于新冠肺炎疫情结束和俄乌战争的结果
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引用次数: 0
Peculiarities of calculating the diameter of the hole for setting the thread-forming part 螺纹成形件设置孔直径计算的特点
Pub Date : 2022-10-01 DOI: 10.20535/2521-1943.2022.6.2.264828
L. Danylova, Serhii Lapkovskyi, Vasyl Prykhodko
The effectiveness of technologies is determined by the total technical effect obtained from their implementation. One of the ways to improve technology efficiency indicators is the introduction of assembly-thread-forming processes based on the use of thread-forming fasteners in product designs. Thread-forming screws, pins, bushings are screwed into smooth holes and form a threaded profile by cutting or deformation. The reduction in labor intensity is achieved by eliminating the operation of preliminary threading, and the resulting connections have high operational and technical indicators. In the production of electronic equipment and devices, where, according to technical requirements, the formation of chips is undesirable, thread-extruding screws are used. Despite the advantages of self-tapping screws, their widespread use is restrained by several disadvantages: the strength of the connection using screws is lower than in the connection using a stud or bolt, screws with an increased pitch have unsatisfactory locking performance, with a diameter of more than 10 mm torque instability and thread profile deformation are observed. Improving the quality of threaded joints by ensuring the optimal size of the hole for threading is the topic of this publication. The calculation of the setting diameter for thread-forming parts with a large step has its own characteristics and must be decided taking into account friction, strength and tolerance. The main causes of surface defects in the installation of thread-forming fasteners are those related to geometry - rolling in a filled contour, which leads to an axial displacement of the surface layers of the metal. Determining the optimal value of the diameter of the hole for screwing the thread-forming part, on the one hand, as large as possible, but not more than the permissible value, is the purpose of this work. The nomenclature of thread-forming fastening elements is constantly expanding, while the ratio of the height of the profile to the step is a variable value even within the limits of one standard. Therefore, the calculation method should be universal, taking into account the conditions of friction, strength, tolerances. Thread forming processes are described as plane deformation processes. Physically, the mechanism of plastic deformation of metals is presented in the form of shifts in planes where the tangential stresses have reached their maximum value. For plane deformation, the trajectories of maximum tangential stresses in two orthogonal directions are described by slip lines, or characteristics. The slip line method allows you to calculate contact stresses and deforming forces, fully determine the fields of stresses and velocities in the sections of deformable metal, and also analyze local phenomena, which are usually fundamental in solving technological problems. The characteristics of plane plastic deformation allow you to find a solution using a graphical method. The use of this method all
技术的有效性取决于从实施中获得的总技术效果。提高技术效率指标的方法之一是在产品设计中使用螺纹成形紧固件的基础上引入装配螺纹成形工艺。螺纹成型螺钉、销、衬套拧入光滑的孔中,并通过切割或变形形成螺纹轮廓。通过消除预螺纹操作来降低劳动强度,并且由此产生的连接具有高的操作和技术指标。在电子设备和器件的生产中,根据技术要求,不希望形成芯片,使用螺纹挤压螺钉。尽管自攻螺钉具有优点,但其广泛使用受到几个缺点的限制:使用螺钉的连接强度低于使用双头螺栓或螺栓的连接,螺距增加的螺钉具有不令人满意的锁定性能,直径超过10mm的扭矩不稳定和螺纹轮廓变形。本出版物的主题是通过确保螺纹孔的最佳尺寸来提高螺纹接头的质量。具有大台阶的螺纹成形零件的设定直径的计算有其自身的特点,必须在考虑摩擦、强度和公差的情况下确定。螺纹成形紧固件安装过程中表面缺陷的主要原因是与几何形状有关的——在填充轮廓中滚动,这会导致金属表面层的轴向位移。这项工作的目的是确定用于螺纹形成部件的孔的直径的最佳值,一方面,尽可能大,但不超过允许值。螺纹成形紧固元件的名称不断扩大,而轮廓高度与台阶的比率是一个可变值,即使在一个标准的限制范围内也是如此。因此,计算方法应该是通用的,考虑到摩擦、强度和公差的条件。螺纹成形过程被描述为平面变形过程。从物理上讲,金属塑性变形的机制表现为切向应力达到最大值的平面中的位移。对于平面变形,最大切向应力在两个正交方向上的轨迹用滑移线或特征来描述。滑移线法可以计算接触应力和变形力,完全确定可变形金属截面中的应力和速度场,还可以分析局部现象,这通常是解决技术问题的基础。平面塑性变形的特性使您可以使用图形方法找到解决方案。使用这种方法可以确定滑移线场的外观或其几何特征,从而建立最大切向应力和法向静水压力(即变形力)之间的关系,并确定成形轮廓的外观和几何参数,其高度受到型材的允许溢流量的限制。通过对零件螺纹车削变形区几何参数的分析,从理论上论证了螺纹成形紧固件的孔直径。这种计算方法是以软件和数学的形式实现的。这些建议与自攻螺钉端部的几何参数有关。由于零件的孔直径的优化,该工作的结果将提高与螺纹成形紧固零件的连接质量。在解决塑性理论中压头浸入刚塑性区域的问题和分析变形最大区域的塑性区的基础上,建立了成形轮廓的几何参数和外观。使用滑动线的方法可以直观地计算和分析几何图形,观察可变形轮廓形状的变化,从轮廓高度与螺纹节距的比率、材料和滑动系数。当螺纹的“弹坑”尺寸足够大而不允许轮廓溢出时,这种可视化允许您选择填充轮廓的值,甚至大于1。这使得可以增加螺纹轮廓的高度和接触面积,并扩大零件中孔的公差。因此,我们提高了连接的强度和组装过程的可靠性。
{"title":"Peculiarities of calculating the diameter of the hole for setting the thread-forming part","authors":"L. Danylova, Serhii Lapkovskyi, Vasyl Prykhodko","doi":"10.20535/2521-1943.2022.6.2.264828","DOIUrl":"https://doi.org/10.20535/2521-1943.2022.6.2.264828","url":null,"abstract":"The effectiveness of technologies is determined by the total technical effect obtained from their implementation. One of the ways to improve technology efficiency indicators is the introduction of assembly-thread-forming processes based on the use of thread-forming fasteners in product designs. Thread-forming screws, pins, bushings are screwed into smooth holes and form a threaded profile by cutting or deformation. The reduction in labor intensity is achieved by eliminating the operation of preliminary threading, and the resulting connections have high operational and technical indicators. In the production of electronic equipment and devices, where, according to technical requirements, the formation of chips is undesirable, thread-extruding screws are used. Despite the advantages of self-tapping screws, their widespread use is restrained by several disadvantages: the strength of the connection using screws is lower than in the connection using a stud or bolt, screws with an increased pitch have unsatisfactory locking performance, with a diameter of more than 10 mm torque instability and thread profile deformation are observed. Improving the quality of threaded joints by ensuring the optimal size of the hole for threading is the topic of this publication. The calculation of the setting diameter for thread-forming parts with a large step has its own characteristics and must be decided taking into account friction, strength and tolerance. The main causes of surface defects in the installation of thread-forming fasteners are those related to geometry - rolling in a filled contour, which leads to an axial displacement of the surface layers of the metal. Determining the optimal value of the diameter of the hole for screwing the thread-forming part, on the one hand, as large as possible, but not more than the permissible value, is the purpose of this work. The nomenclature of thread-forming fastening elements is constantly expanding, while the ratio of the height of the profile to the step is a variable value even within the limits of one standard. Therefore, the calculation method should be universal, taking into account the conditions of friction, strength, tolerances. Thread forming processes are described as plane deformation processes. Physically, the mechanism of plastic deformation of metals is presented in the form of shifts in planes where the tangential stresses have reached their maximum value. For plane deformation, the trajectories of maximum tangential stresses in two orthogonal directions are described by slip lines, or characteristics. The slip line method allows you to calculate contact stresses and deforming forces, fully determine the fields of stresses and velocities in the sections of deformable metal, and also analyze local phenomena, which are usually fundamental in solving technological problems. The characteristics of plane plastic deformation allow you to find a solution using a graphical method. The use of this method all","PeriodicalId":32423,"journal":{"name":"Mechanics and Advanced Technologies","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49220081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hot crimping in a special profile matrix of axisymmetric hollow workpieces from high carbon steel 高碳钢轴对称空心工件特殊型材基体的热压接
Pub Date : 2022-10-01 DOI: 10.20535/2521-1943.2022.6.2.264785
V. Kaliuzhnyi, S. Sytnyk, Аndrii Titarenko
Using the finite element method, mathematical models were created and studies were carried out of direct and reverse methods of hot crimping in a matrix of a special profile of hollow workpieces made of high-carbon steel with a variable wall thickness along the height. A plastic model of metal and cylindrical coordinates are used. By calculation, the shape and dimensions of the initial workpiece for crimping were established, which provided the required dimensions of the product. Before crimping, a part of the billet was heated along the height, which was subject to deformation in the matrix. The use of a matrix of a special profile with a deforming surface made with annular protrusions made it possible to obtain a product in one step due to a decrease in the influence of friction forces during shaping. The deformation rate is determined to comply with the hot deformation mode during the crimping. The dependences of the axial force on the deforming tool on the movement of punches and the distribution of specific forces on the contact surfaces are established. The use of direct crimping leads to a decrease in forces modes and specific forces on the tool. The final stress-strain state of the metal, the shape and dimensions of the product are determined. According to the distribution of strain intensity, an assessment was made of the elaboration of the metal structure by plastic deformation. Based on the simulation data, a design of the general view of the die tooling for direct crimping has been developed.
利用有限元方法建立了数学模型,并对壁厚沿高度变化的高碳钢空心工件特殊型材基体中的直接和反向热压接方法进行了研究。使用金属和圆柱坐标的塑性模型。通过计算,确定了压接初始工件的形状和尺寸,从而提供了产品所需的尺寸。在压接之前,坯料的一部分沿着高度被加热,其在基体中发生变形。由于在成形过程中摩擦力的影响减少,使用具有由环形突起制成的变形表面的特殊轮廓的基体使得可以在一个步骤中获得产品。变形率被确定为在压接期间符合热变形模式。建立了变形工具上的轴向力与冲头运动的关系以及接触表面上的比力分布。直接压接的使用导致力模式和工具上的特定力的减少。确定了金属的最终应力-应变状态、产品的形状和尺寸。根据应变强度的分布,对塑性变形对金属结构的细化进行了评价。基于仿真数据,开发了直接压接模具的总体视图设计。
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引用次数: 0
Finding and analyzing of the energy and force parameters of the flange formation process by orbital stamping by rolling 轧制轨道冲压法兰成形过程能量和力参数的确定与分析
Pub Date : 2022-10-01 DOI: 10.20535/2521-1943.2022.6.2.262566
Sergiy Godziy, Andrii Klisko, Vitaliy Myronenko
A characteristic feature of the details considered in the article is the increased diameter of the flange. At the Department of Aircraft Production Technology of the Scientific and Educational Mechanical and Mechanical Engineering Institute of the Kyiv Polytechnic Institute named after Igor Sikorskyi developed an original technological process for manufacturing products with a developed flange part using the positive effects of the progressive rolling stamping method. The method has energy-strength advantages over traditional methods of manufacturing parts with relatively thin structural elements. The center of application of such technologies is expanding more and more, but the basic technological calculations of process parameters have not yet been introduced widely enough into production practice. The proposed sequence of technological calculations and basic parameters of specialized installations for rolling stamping.
文章中所考虑的细节的一个特征是法兰的直径增加。在基辅理工学院科教机械和机械工程学院的飞机生产技术系,以伊戈尔·西科尔斯基的名字命名,开发了一种原始的工艺流程,利用渐进轧制冲压方法的积极影响,用发达的法兰零件制造产品。与制造具有相对较薄结构元件的零件的传统方法相比,该方法具有能量强度优势。这些技术的应用中心越来越大,但工艺参数的基本技术计算尚未足够广泛地引入生产实践。轧制冲压专用装置的拟议工艺计算顺序和基本参数。
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引用次数: 0
Substitution of equations for evaluation of energy consumption in rotor-stator mixers 转子-定子混合机能耗评估方程的替代
Pub Date : 2022-10-01 DOI: 10.20535/2521-1943.2022.6.2.265218
O. Seminskyi
In the presented publication, an attempt to develop the theory of mixing by considering rotor-stator mixers from the standpoint of mechanical mixing devices was made. The results of the research on energy consumption are given in the form of analytically substituted expressions for determining power and pressure difference as well as a flow rate in a stage of rotor-stator mixer composed of a pair of the perforated rotor and stator elements with a gap between them, depending on the features of the design, dynamic characteristics of the rotor and flows. The interrelationships between power, pressure difference, and flow rate in the stages of rotor-stator mixers are established. This makes it possible to define the characteristics of mixers, carry out their calculations and reasonably accept the rational design and processing parameters. The peculiarities of the components in obtained equations are indicated. Partial cases of the equations for power consumption in stages of rotor-stator-mixers operated in pulse and impulse modes are considered. The invariant form of obtained equations would help to ease the scaling of rotor-stator mixers.
在本出版物中,从机械混合装置的角度出发,试图通过考虑转子-定子混合器来发展混合理论。根据设计特点、转子和流动的动态特性,以解析替代表达式的形式给出了能量消耗的研究结果,用于确定由一对带间隙的穿孔转子和定子元件组成的转子-定子混合器级中的功率、压差和流量。建立了转子-定子混合器各级功率、压差和流量之间的相互关系。这就有可能定义搅拌器的特性,进行它们的计算,并合理地接受合理的设计和加工参数。指出了所得方程中各分量的特性。考虑了在脉冲和脉冲模式下运行的转子-定子混频器各级功率消耗方程的部分情况。所获得的方程的不变形式将有助于简化转子-定子混合器的缩放。
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引用次数: 0
Research and determination of the acoustic parameters of the movement of a cavitation bubble in a liquid medium according to discrete and continuous models 根据离散和连续模型研究和确定液体介质中空化气泡运动的声学参数
Pub Date : 2022-10-01 DOI: 10.20535/2521-1943.2022.6.2.269921
I. Bernyk, I. Nazarenko, O. Luhovskyi
In the work, the study and determination of the acoustic parameters of the movement of a cavitation bubble in a liquid medium according to discrete and continuous models was carried out. The research is based on the hypothesis that the determination of the effective parameters of the work process of acoustic processing is implemented by applying a transitional physical model from a discrete to a continuous type of processing of the technological environment. The obtained analytical dependences allow to calculate the amplitude of oscillations and the frequency of natural oscillations. With the help of the specified formulas, it is possible to determine the zones of amplification or attenuation of the amplitude of oscillations for different frequencies of oscillations. The proposed formula for determining the frequency of natural oscillations, which takes into account changes in the properties of the medium from homogeneous at the initial stage to the appearance of cavitation bubbles at the specified frequency of natural oscillations. Numerical values of intensity, pressure, amplitude of oscillations, velocity, acceleration, viscosity and maximum bubble radius are given. The obtained numerical values can be used in practical calculations of acoustic processing parameters of different nature and properties of technological environments.
在工作中,根据离散模型和连续模型研究和确定了液体介质中空化气泡运动的声学参数。该研究基于这样一个假设,即声学处理工作过程的有效参数的确定是通过应用从离散到连续的技术环境处理类型的过渡物理模型来实现的。得到的解析依赖关系允许计算振荡的幅度和自然振荡的频率。借助规定的公式,可以确定不同频率的振荡振幅的放大或衰减区域。提出了确定自然振荡频率的公式,该公式考虑了介质性质从初始阶段的均匀到在规定的自然振荡频率下出现空化气泡的变化。给出了强度、压力、振荡幅度、速度、加速度、粘度和最大气泡半径的数值。所得数值可用于实际计算不同性质和工艺环境的声处理参数。
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引用次数: 0
Semi-analytical implicit direct time integration scheme on example of 1-D wave propagation problem 一维波传播问题实例的半解析隐式直接时间积分格式
Pub Date : 2022-10-01 DOI: 10.20535/2521-1943.2022.6.2.262110
I. Orynyak, R. Mazuryk, V. Tsybulskyi
The most common approach in dynamic analysis of engineering structures and physical phenomenas consists in finite element discretization and mathematical formulation with subsequent application of direct time integration schemes. The space interpolation functions are usually the same as in static analysis. Here on example of 1-D wave propagation problem the original implicit scheme is proposed, which contains the time interval value explicitly in space interpolation function as results of analytical solution of differential equation for considered moment of time. The displacements (solution) at two previous moments of time are approximated as polynomial functions of position and accounted for as particular solutions of the differential equation. The scheme demonstrates the perfect predictable properties as to dispersion and dissipation. The crucial scheme parameter is the time interval – the lesser the interval the more correct results are obtained. Two other parameters of the scheme – space interval and the degree of polynomial approximation have minimal impact on the general behavior of solution and have influence on small zone near the front of the wave.
在工程结构和物理现象的动力分析中,最常用的方法是有限元离散化和数学公式,然后应用直接时间积分方案。空间插值函数通常与静态分析相同。本文以一维波传播问题为例,提出了原始隐式格式,该隐式格式在空间插值函数中显式地包含时间区间值,作为考虑时刻的微分方程解析解的结果。前两个时刻的位移(解)近似为位置的多项式函数,并作为微分方程的特解来解释。该方案在色散和耗散方面具有很好的可预测性。关键的方案参数是时间间隔,时间间隔越小,得到的结果越正确。该方案的另外两个参数-空间间隔和多项式近似度对解的一般性质影响最小,但对波前附近的小区域有影响。
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引用次数: 1
Corrugation prediction in process of sheet drawing based on the results of modeling in the DEFORM environment 基于DEFORM环境建模结果的板件拉深过程波纹预测
Pub Date : 2022-10-01 DOI: 10.20535/2521-1943.2022.6.2.257478
M. Orliuk
In a process of sheet drawing technology developing, the probability of workpiece buckling during deformation and the necessity of blank holder using to prevent corrugation, is estimated in accordance with the recommendations of the reference book. However, reference literature does not have clear recommendations, or it gives contradictory recommendations for blank holder use cases for some deformation conditions. In these cases, problem solving requires additional experimental research.Possibility and efficiency establishing of computer simulation using DEFORM environment of axisymmetric drawing processes to forecast the buckling of a thin-sheet workpiece during deformation.Technological processes of sheet drawing with a high probability of workpiece buckling were investigated by means of finite element computer simulation in DEFORM 3D.Research has established that simulation of thin-sheet workpiece drawing process in DEFORM 3D, allows to visualize the process of corrugation, and predict workpiece buckling with high probability, provided that the deformation occurs relatively simple geometry of the workpiece and deforming tool. In more complex deformation conditions, the experiments results, and computer simulation may differ (simulations may not indicate corrugation). This somewhat complicates corrugation prediction, but the problem is solved by an extended analysis of the stress-strain state and workpiece behavior in the deformation zone. The emergence of areas in the workpiece with an unpredictable and uncontrolled contact loss of the workpiece material with the deforming tool, or appearance of areas with significant irregular velocity of workpiece points movement, clearly indicates problem areas with high probability of corrugation in the real sheet drawing process.Obtained results allow to increase the efficiency of expecting places of corrugation appearance prediction by means of computer simulation of sheet drawing process in the DEFORM 3D environment. 
在图纸绘制技术的发展过程中,根据参考书的建议,估计了工件在变形过程中发生屈曲的可能性以及使用压边器防止波纹的必要性。然而,参考文献没有明确的建议,或者它对某些变形条件下的坯料夹使用情况给出了相互矛盾的建议。在这些情况下,解决问题需要额外的实验研究。利用轴对称拉伸过程的DEFORM环境建立计算机模拟预测薄板工件变形过程中屈曲的可能性和效率。采用有限元计算机模拟的方法,在DEFORM 3D中研究了具有高概率工件屈曲的薄板拉深工艺过程。研究表明,在DEFFORM 3D中模拟薄板工件的拉深过程,可以可视化波纹过程,并预测具有高概率的工件屈曲,只要变形发生工件和变形工具的相对简单的几何形状。在更复杂的变形条件下,实验结果和计算机模拟可能会有所不同(模拟可能不表明波纹)。这在一定程度上使波纹预测复杂化,但通过对变形区中的应力-应变状态和工件行为的扩展分析来解决该问题。工件中出现的工件材料与变形工具的接触损失不可预测且不受控制的区域,或出现的工件点移动速度明显不规则的区域,清楚地表明了在实际板材拉伸过程中出现波纹的可能性很高的问题区域。所获得的结果允许通过在DEFORM 3D环境中对片材拉伸过程的计算机模拟来提高波纹外观预测的预期位置的效率。
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Mechanics and Advanced Technologies
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