28 research outputs found

    Identification of Chemical Reactor Plant’s Mathematical Model

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    This work presents a solution of the identification problem of chemical reactor plant’s mathematical model. The main goal is to obtain a mathematical description of a chemical reactor plant from experimental data, which based on plant’s time response measurements. This data consists sequence of measurements for water jacket temperature and information about control input signal, which is used to govern plant’s behavior

    Vector Control System Design for Four Degree-of-Freedom Dynamic Flexible Simulation of the Variable-Frequency Drive

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    In the present work we investigate the control system development of the drive simulators to train driver/operator driving skills, taking into account the ever-changing terrain. In order to meet the required response of the four degree-of-freedom motion platform servomotor current studies have been focused on the vector control of the resistance motor angular velocity from the sensor being incremental encoder. In proposed system the standard security of the frequency converter is realized. It leads to overload capacity of two times within minutes determined by servomotor inertia. Further, we represent the algorithms: positional limitation, reliable acceleration and restraint, frequency break. As well as we demonstrate the position switches implement in software. As a result, the control system commands the control of the angular position of the platform in coordinates

    Algorithm and Software for Operative Calculations of the Short Circuits Modes

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    Smart power grids provide efficient control of power flows or other grid variables, such as voltages or short circuit currents. Most essential the control has become, if the consumers are electrical systems of high power capacity. These systems are able to reconfigure the grid structure for emergency situations. The developed algorithm is intended for carrying out operational calculations of short-circuits modes in electrical grids of voltage 0,4kV to 220kV. In the calculation the following methods have been used: methods of node voltages, method of superposition and method of branch expansion to form the node voltage matrix according to the graphs theory. In the software the short circuit inflow from all electrical motors and nodes with generalized load is taken into account as opposed to other algorithms. The calculated circuit can have up to 700 nodes; there is ability to decrease number of branches and nodes and to form the calculative model of the grid part. Calculation algorithm of the short circuit currents is implemented as a sequence of software calculations. Software of systems and grids, in which short circuits are altered, allows carrying out operational calculations of the short circuit modes to adjust settings of relays protection devices, to check electrical equipment and to replace it, to choose optimal operational circuits. Actuality of the calculations is caused by need of the software implementation to maintain, upgrade and design the electrical grids of enterprises that have their own power plants

    A Batch Feeder for Inhomogeneous Bulk Materials

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    The work includes the mechanical analysis of mechanical feeders and batchers that find application in various technological processes and industrial fields. Feeders are usually classified according to their design features into two groups: conveyor-type feeders and non-conveyor feeders. Batchers are used to batch solid bulk materials. Less frequently, they are used for liquids. In terms of a batching method, they are divided into volumetric and weighting batchers. Weighting batchers do not provide for sufficient batching accuracy. Automatic weighting batchers include a mass controlling sensor and systems for automatic material feed and automatic mass discharge control. In terms of operating principle, batchers are divided into gravitational batchers and batchers with forced feed of material using conveyors and pumps. Improved consumption of raw materials, decreased loss of materials, ease of use in automatic control systems of industrial facilities allows increasing the quality of technological processes and improve labor conditions. The batch feeder suggested by the authors is a volumetric batcher that has no comparable counterparts among conveyor-type feeders and allows solving the problem of targeted feeding of bulk material batches increasing reliability and hermeticity of the device

    AUTOBALANCING DEVICES OF HAND GRINDING MACHINES

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    A mathematical model of a hand grinding machine with an autobalancing device has been developed. The scientific statements, conclusions and recommendations are based on the analysis of the solutions of the movement equations corresponding to the stable balancing conditions of the rotor with the help of balls, by using Puankare - Lyapunov's method. The required capacity of the autobalancing device (ABD) at force and kinematic excitation of oscillations has been determined. The influence of ABD on the wear of the grinding wheel has been determined, the form of the wheel being corrected and its service life being increased for the same efficiency. A possibility of using and the field of efficient application of the ABD of the hand grinding machines have been defined. The theoretical results have been substantiated by the data obtained as a result of numerous experimental studies, as well as by the serviceability tests of the developed balancing devices and their commercial operation. The results of the work have been introduced at "AvtoVAZ" Production Complex through manufacturing smallbatch machines equipped with the ABD. The latter can be used for balancing the rotors of the machines in which the duty change of the rotor disbalance takes place and is connected with the technological process performedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

    Evaluative research of induction traction electric motor with low-level power supply for mine locomotive

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    The relevance of the research is caused by the need to solve the problem of ensuring energy-efficient operation modes of traction electric drives of underground locomotive used to transport metal ore in ferrous and nonferrous mines from the place of mining to place of storage for further transportation to the surface. One of the main tasks of underground rail transport is to reach marginal traction characteristics of variable-frequency induction motors in conditions of limited magnitude of supply voltage of the contact network DC of underground transport for electrical safety reasons. The aim of the work is to study the possibility of using induction motors with reduced voltage power supply for traction electric underground mining locomotives; to determine the conditions of conformity of mechanical characteristics of induction traction motor with reduced voltage regarding the characteristics of a standard voltage. Object of research: traction induction motor with reduced supply voltage, increased tractive effort and low sensitivity to vibration and shocks. Research methods. The research was performed by analyzing the analytical dependences of induction motor characteristics and simulation results in the Simulink/MatLab. The comparison was carried out at static and dynamic characteristics, energy performance and structural features of the considered motors.Β Results. A special crane induction motor, produced by Β«SibelektromotorΒ», designed for frequency regulation of speed, was selected as a prototype of induction traction motor. The paper introduces the method for calculating the equivalent circuit parameters of induction traction motor by passport data at reduced voltage to the stator; its simulation model was designed. The principal mechanical and electromechanical properties and characteristics of traction induction motor with the switching scheme of connection of phase windings of the stator from the Β«starΒ» to Β«triangleΒ», recalculated to a low voltage, correspond to characteristics of induction traction motor with standard voltage. To ensure vibration and shock resistance the authors justified a change in the design of induction traction motor with replacement of cast iron housing on the welded steel housing with additional supports for fixing to the frame of the locomotive

    Determining rational modes of mechanical processing of titanium body elements of oil and gas equipment by end-end machines (according to SS 23248-78) and wave-shaped cutters

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    ΠΠΊΡ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ исслСдования обусловлСна Ρ‚Π΅ΠΌ, Ρ‡Ρ‚ΠΎ ΠΎΠ΄Π½ΠΈΠΌ ΠΈΠ· Π²Π°ΠΆΠ½Π΅ΠΉΡˆΠΈΡ… Ρ„Π°ΠΊΡ‚ΠΎΡ€ΠΎΠ² Π±Π΅Π·ΠΎΡ‚ΠΊΠ°Π·Π½ΠΎΠΉ Ρ€Π°Π±ΠΎΡ‚Ρ‹ Π½Π΅Ρ„Ρ‚Π΅Π³Π°Π·ΠΎΠ²ΠΎΠ³ΠΎ оборудования ΡΠ²Π»ΡΡŽΡ‚ΡΡ трСбования ΠΊ ΠΊΠΎΡ€Ρ€ΠΎΠ·ΠΈΠΎΠ½Π½ΠΎΠΉ стойкости. Бвойства Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов: высокая коррозионная ΡΡ‚ΠΎΠΉΠΊΠΎΡΡ‚ΡŒ Π² агрСссивных срСдах, высокая ΠΏΡ€ΠΎΡ‡Π½ΠΎΡΡ‚ΡŒ Π² сочСтании с ΠΌΠ°Π»ΠΎΠΉ ΠΏΠ»ΠΎΡ‚Π½ΠΎΡΡ‚ΡŒΡŽ, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‚ ΠΏΠΎΠ»ΡƒΡ‡Π°Ρ‚ΡŒ издСлия с большой ΠΏΡ€ΠΎΡ‡Π½ΠΎΡΡ‚ΡŒΡŽ ΠΈ ΠΌΠ°Π»ΠΎΠΉ массой ΠΏΡ€ΠΈ Ρ€Π°Π±ΠΎΡ‚Π΅ Π² условиях агрСссивных срСд. Однако ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов ΠΏΡ€ΠΈ ΠΈΠ·Π³ΠΎΡ‚ΠΎΠ²Π»Π΅Π½ΠΈΠΈ Π΄Π΅Ρ‚Π°Π»Π΅ΠΉ, Ρ€Π°Π±ΠΎΡ‚Π°ΡŽΡ‰ΠΈΡ… Π² условиях агрСссивной срСды, Π² Ρ‚ΠΎΠΌ числС для Π½Π΅Ρ„Ρ‚Π΅Π³Π°Π·ΠΎΠ²ΠΎΠ³ΠΎ оборудования, ΠΎΠ³Ρ€Π°Π½ΠΈΡ‡Π΅Π½Π½ΠΎ вслСдствиС Π½Π΅ΡƒΠ΄ΠΎΠ²Π»Π΅Ρ‚Π²ΠΎΡ€ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠΉ обрабатываСмости Ρ€Π΅Π·Π°Π½ΠΈΠ΅ΠΌ, Ρ‡Ρ‚ΠΎ обусловлСно ΠΌΠ°Π»ΠΎΠΉ Ρ‚Π΅ΠΏΠ»ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡ‚ΡŒΡŽ Ρ‚Π°ΠΊΠΈΡ… сплавов, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΡΠΊΠ»ΠΎΠ½Π½ΠΎΡΡ‚ΡŒΡŽ ΠΊ интСнсивным вибрациям. ΠžΠ±ΡŠΠ΅ΠΊΡ‚: ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ ΠΈ экономичСская ΡΡ„Ρ„Π΅ΠΊΡ‚ΠΈΠ²Π½ΠΎΡΡ‚ΡŒ ΠΎΡ‚ примСнСния Ρ„Ρ€Π΅Π· ΠΏΡ€ΠΈ ΠΈΠ·Π³ΠΎΡ‚ΠΎΠ²Π»Π΅Π½ΠΈΠΈ Π΄Π΅Ρ‚Π°Π»ΠΈ Ρ‚ΠΈΠΏΠ° «корпус» ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²ΠΎΠ³ΠΎ сплава. ЦСль: Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΊΠ° Ρ€Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹Ρ… Ρ€Π΅ΠΆΠΈΠΌΠΎΠ² ΠΌΠ΅Ρ…Π°Π½ΠΎΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ ΠΈ Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΠΈ инструмСнта для фрСзСрования корпусных элСмСнтов ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов. Π Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹Π΅ Ρ€Π΅ΠΆΠΈΠΌΡ‹ ΠΈ гСомСтрия Ρ„Ρ€Π΅Π·Ρ‹ Π΄ΠΎΠ»ΠΆΠ½Ρ‹ ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°Ρ‚ΡŒ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡŒΠ½ΡƒΡŽ ΡΡ‚ΠΎΠΉΠΊΠΎΡΡ‚ΡŒ инструмСнта, качСство ΠΌΠ΅Ρ…Π°Π½ΠΎΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ, ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ ΠΈ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡ‡Π΅ΡΠΊΡƒΡŽ ΡΡ„Ρ„Π΅ΠΊΡ‚ΠΈΠ²Π½ΠΎΡΡ‚ΡŒ. ΠœΠ΅Ρ‚ΠΎΠ΄Ρ‹: ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ производствСнных испытаний Ρ„Ρ€Π΅Π· с Ρ€Π°Π·Π½ΠΎΠΉ Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΠ΅ΠΉ ΠΈΡ… Ρ€Π΅ΠΆΡƒΡ‰ΠΈΡ… ΠΊΡ€ΠΎΠΌΠΎΠΊ ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠΌ ΠΌΠ½ΠΎΠ³ΠΎΡ„Π°ΠΊΡ‚ΠΎΡ€Π½ΠΎΠ³ΠΎ экспСримСнта с использованиСм вибродиагностичСского комплСкса для опрСдСлСния Π·ΠΎΠ½ с ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹ΠΌ ΡƒΡ€ΠΎΠ²Π½Π΅ΠΌ Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΈ ΠΏΡ€ΠΈ ΠΌΠ΅Ρ…Π°Π½ΠΎΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠ΅ Π΄Π΅Ρ‚Π°Π»ΠΈ Ρ‚ΠΈΠΏΠ° «корпус» ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²ΠΎΠ³ΠΎ сплава. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. Π Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½Ρ‹ Ρ€Π΅ΠΊΠΎΠΌΠ΅Π½Π΄Π°Ρ†ΠΈΠΈ ΠΏΠΎ сниТСнию Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΈ ΠΏΡ€ΠΈ Ρ„Ρ€Π΅Π·Π΅Ρ€ΠΎΠ²Π°Π½ΠΈΠΈ корпусных элСмСнтов ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов. ΠœΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊΠ° позволяСт Π² условиях производства, Π² стадии ΠΎΡ‚Π»Π°Π΄ΠΊΠΈ тСхнологичСского процСсса, ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΠΈΡ‚ΡŒ Ρ€Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹Π΅ Ρ€Π΅ΠΆΠΈΠΌΡ‹ рСзания ΠΏΠΎ критСриям наибольшСй ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΈ максимальной стойкости инструмСнта.The relevance of the research is caused by the fact that one of the most important factors in the failure-free operation of oil and gas equipment is the corrosion resistance requirements. Titanium alloys properties like high corrosion resistance in corrosive environments and high strength combined with low density make it possible to obtain products with high strength and low weight when operating in corrosive environments. However, titanium alloys usage in the manufacture of details that operate in an aggressive environment, including for oil and gas equipment, is limited due to both low machinability and low thermal conductivity, as well as the technological system predisposition to intense fluctuations. Object: productivity and economic efficiency from using mills for manufacturing hull details like Β«caseΒ» type from titanium alloy. The main aim of the research is a development of rational machining modes and tool geometry for milling hull elements from titanium alloys. That can ensure maximum tool life, machining quality, productivity and economic efficiency. Methods: production tests of mills with different geometry of cutting edges by the multifactor experiment method using a vibro-diagnostic complex for determine the minimum vibration level zones during machining of the "case" type part from titanium alloy. Results. The authors have developed the recommendations to reducing vibration during milling hull elements from titanium alloys. This method allows finding the rational cutting conditions according to both the highest productivity and maximum tool life criteria in production conditions during the stage of debugging the technological process

    Determining rational modes of mechanical processing of titanium body elements of oil and gas equipment by end-end machines (according to SS 23248-78) and wave-shaped cutters

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    ΠΠΊΡ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ исслСдования обусловлСна Ρ‚Π΅ΠΌ, Ρ‡Ρ‚ΠΎ ΠΎΠ΄Π½ΠΈΠΌ ΠΈΠ· Π²Π°ΠΆΠ½Π΅ΠΉΡˆΠΈΡ… Ρ„Π°ΠΊΡ‚ΠΎΡ€ΠΎΠ² Π±Π΅Π·ΠΎΡ‚ΠΊΠ°Π·Π½ΠΎΠΉ Ρ€Π°Π±ΠΎΡ‚Ρ‹ Π½Π΅Ρ„Ρ‚Π΅Π³Π°Π·ΠΎΠ²ΠΎΠ³ΠΎ оборудования ΡΠ²Π»ΡΡŽΡ‚ΡΡ трСбования ΠΊ ΠΊΠΎΡ€Ρ€ΠΎΠ·ΠΈΠΎΠ½Π½ΠΎΠΉ стойкости. Бвойства Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов: высокая коррозионная ΡΡ‚ΠΎΠΉΠΊΠΎΡΡ‚ΡŒ Π² агрСссивных срСдах, высокая ΠΏΡ€ΠΎΡ‡Π½ΠΎΡΡ‚ΡŒ Π² сочСтании с ΠΌΠ°Π»ΠΎΠΉ ΠΏΠ»ΠΎΡ‚Π½ΠΎΡΡ‚ΡŒΡŽ, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‚ ΠΏΠΎΠ»ΡƒΡ‡Π°Ρ‚ΡŒ издСлия с большой ΠΏΡ€ΠΎΡ‡Π½ΠΎΡΡ‚ΡŒΡŽ ΠΈ ΠΌΠ°Π»ΠΎΠΉ массой ΠΏΡ€ΠΈ Ρ€Π°Π±ΠΎΡ‚Π΅ Π² условиях агрСссивных срСд. Однако ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов ΠΏΡ€ΠΈ ΠΈΠ·Π³ΠΎΡ‚ΠΎΠ²Π»Π΅Π½ΠΈΠΈ Π΄Π΅Ρ‚Π°Π»Π΅ΠΉ, Ρ€Π°Π±ΠΎΡ‚Π°ΡŽΡ‰ΠΈΡ… Π² условиях агрСссивной срСды, Π² Ρ‚ΠΎΠΌ числС для Π½Π΅Ρ„Ρ‚Π΅Π³Π°Π·ΠΎΠ²ΠΎΠ³ΠΎ оборудования, ΠΎΠ³Ρ€Π°Π½ΠΈΡ‡Π΅Π½Π½ΠΎ вслСдствиС Π½Π΅ΡƒΠ΄ΠΎΠ²Π»Π΅Ρ‚Π²ΠΎΡ€ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠΉ обрабатываСмости Ρ€Π΅Π·Π°Π½ΠΈΠ΅ΠΌ, Ρ‡Ρ‚ΠΎ обусловлСно ΠΌΠ°Π»ΠΎΠΉ Ρ‚Π΅ΠΏΠ»ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡ‚ΡŒΡŽ Ρ‚Π°ΠΊΠΈΡ… сплавов, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΡΠΊΠ»ΠΎΠ½Π½ΠΎΡΡ‚ΡŒΡŽ ΠΊ интСнсивным вибрациям. ΠžΠ±ΡŠΠ΅ΠΊΡ‚: ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ ΠΈ экономичСская ΡΡ„Ρ„Π΅ΠΊΡ‚ΠΈΠ²Π½ΠΎΡΡ‚ΡŒ ΠΎΡ‚ примСнСния Ρ„Ρ€Π΅Π· ΠΏΡ€ΠΈ ΠΈΠ·Π³ΠΎΡ‚ΠΎΠ²Π»Π΅Π½ΠΈΠΈ Π΄Π΅Ρ‚Π°Π»ΠΈ Ρ‚ΠΈΠΏΠ° «корпус» ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²ΠΎΠ³ΠΎ сплава. ЦСль: Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΊΠ° Ρ€Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹Ρ… Ρ€Π΅ΠΆΠΈΠΌΠΎΠ² ΠΌΠ΅Ρ…Π°Π½ΠΎΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ ΠΈ Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΠΈ инструмСнта для фрСзСрования корпусных элСмСнтов ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов. Π Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹Π΅ Ρ€Π΅ΠΆΠΈΠΌΡ‹ ΠΈ гСомСтрия Ρ„Ρ€Π΅Π·Ρ‹ Π΄ΠΎΠ»ΠΆΠ½Ρ‹ ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°Ρ‚ΡŒ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡŒΠ½ΡƒΡŽ ΡΡ‚ΠΎΠΉΠΊΠΎΡΡ‚ΡŒ инструмСнта, качСство ΠΌΠ΅Ρ…Π°Π½ΠΎΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ, ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ ΠΈ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡ‡Π΅ΡΠΊΡƒΡŽ ΡΡ„Ρ„Π΅ΠΊΡ‚ΠΈΠ²Π½ΠΎΡΡ‚ΡŒ. ΠœΠ΅Ρ‚ΠΎΠ΄Ρ‹: ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ производствСнных испытаний Ρ„Ρ€Π΅Π· с Ρ€Π°Π·Π½ΠΎΠΉ Π³Π΅ΠΎΠΌΠ΅Ρ‚Ρ€ΠΈΠ΅ΠΉ ΠΈΡ… Ρ€Π΅ΠΆΡƒΡ‰ΠΈΡ… ΠΊΡ€ΠΎΠΌΠΎΠΊ ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠΌ ΠΌΠ½ΠΎΠ³ΠΎΡ„Π°ΠΊΡ‚ΠΎΡ€Π½ΠΎΠ³ΠΎ экспСримСнта с использованиСм вибродиагностичСского комплСкса для опрСдСлСния Π·ΠΎΠ½ с ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹ΠΌ ΡƒΡ€ΠΎΠ²Π½Π΅ΠΌ Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΈ ΠΏΡ€ΠΈ ΠΌΠ΅Ρ…Π°Π½ΠΎΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠ΅ Π΄Π΅Ρ‚Π°Π»ΠΈ Ρ‚ΠΈΠΏΠ° «корпус» ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²ΠΎΠ³ΠΎ сплава. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. Π Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½Ρ‹ Ρ€Π΅ΠΊΠΎΠΌΠ΅Π½Π΄Π°Ρ†ΠΈΠΈ ΠΏΠΎ сниТСнию Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΈ ΠΏΡ€ΠΈ Ρ„Ρ€Π΅Π·Π΅Ρ€ΠΎΠ²Π°Π½ΠΈΠΈ корпусных элСмСнтов ΠΈΠ· Ρ‚ΠΈΡ‚Π°Π½ΠΎΠ²Ρ‹Ρ… сплавов. ΠœΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊΠ° позволяСт Π² условиях производства, Π² стадии ΠΎΡ‚Π»Π°Π΄ΠΊΠΈ тСхнологичСского процСсса, ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΠΈΡ‚ΡŒ Ρ€Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹Π΅ Ρ€Π΅ΠΆΠΈΠΌΡ‹ рСзания ΠΏΠΎ критСриям наибольшСй ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΈ максимальной стойкости инструмСнта.The relevance of the research is caused by the fact that one of the most important factors in the failure-free operation of oil and gas equipment is the corrosion resistance requirements. Titanium alloys properties like high corrosion resistance in corrosive environments and high strength combined with low density make it possible to obtain products with high strength and low weight when operating in corrosive environments. However, titanium alloys usage in the manufacture of details that operate in an aggressive environment, including for oil and gas equipment, is limited due to both low machinability and low thermal conductivity, as well as the technological system predisposition to intense fluctuations. Object: productivity and economic efficiency from using mills for manufacturing hull details like Β«caseΒ» type from titanium alloy. The main aim of the research is a development of rational machining modes and tool geometry for milling hull elements from titanium alloys. That can ensure maximum tool life, machining quality, productivity and economic efficiency. Methods: production tests of mills with different geometry of cutting edges by the multifactor experiment method using a vibro-diagnostic complex for determine the minimum vibration level zones during machining of the "case" type part from titanium alloy. Results. The authors have developed the recommendations to reducing vibration during milling hull elements from titanium alloys. This method allows finding the rational cutting conditions according to both the highest productivity and maximum tool life criteria in production conditions during the stage of debugging the technological process

    Design of full order observer with real time monitoring of load torque for submersible induction motors

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    The operation of electric submersible pump for oil wells is complicated by a number of factors, which include gas inclusions in the pumped liquid, the presence of asphalt and tar paraffin sedimentation, raising of sand and other abrasive particles, deposition of various salts on the working parts of submersible pumps, in particular, calcium carbonate CaCO3, calcium sulfate CaSO4, barium sulfate BaSO4 and sodium chloride NaCl. As the submersible pump operates under these conditions, the load torque gradually increases, with total decrease in the efficiency of the pump up to a partial or full jamming of the shaft. The increase in the load torque during the wedging additionally statically loads the walls of the tubing. The presence of gas inclusions leads to disturbance in the stationary of the flow of injected liquid, and as a consequence, additional stresses of alternating character appear in the walls of the tubing in a wide range of vibrations. In a number of cases the fatigue destruction of tubing and Β«downfallΒ» of submersible equipment occur at the wellhead. Therefore, it is time to develop the methods and means for monitoring the load torque on the shaft of a submersible induction motor in real time. Direct measurement with the help of a torque sensor or the restoration of torque estimates by electrical measurements directly on the terminals of a submersible induction motor is not advisable for technical and economic reasons. The most promising is the development of a full order state observer, taking into account the properties of the submerged cable by measuring the currents and voltages at the output of the step-up transformer - at the input of the cable line. Setting up such an observer of the original structure is of scientific and practical interest. The aim of research is to develop and test the mathematical models of the original structure of the full-order state observer with the real time monitoring of the load torque for submerged induction motors feeding on a long submersible cable.Β The main material and studies are based on the use of the theory of full order state observers, numerical methods for solving systems of ordinary differential equations, numerical integration methods, automatic control theory, and the theory of signal filtering. Conclusion and outlines. The original structure of the full order state observer is proposed with on-line monitoring of the load torque on the shaft of a submersible induction motor power supplying from a long cable. For observer functioning, one need the information on the magnitude of currents and voltages at the input of the submersible motor cable, as well as signals on the estimates of parameters of the replacement circuit and the moment of inertia from the additional device, the parameter identifier (not discussed in this article). It is demonstrated that the structure of the observer provides the user with estimates of the orthogonal projections in the axes a [alpha], [beta] of the rotor flux coupling, the speed, the torque and the load torque on the shaft of the submersible induction motor in real time, both in steady-state conditions and in transient regimes: starting motor, on-off loading. The advantage of the observer is a high indicator of the quality of the evaluation with a small number of configurable parameters and rather simple setting. It is shown that the use of filter-post filters according to the Butterworth scheme improves the quality of evaluation of the load torque on the shaft of a submersible motor. The presence of signals evaluating the projections of the rotor flux linkage and the speed of the rotor makes it possible to recommend such an observer for electric drives made according to the scheme Β«frequency converter - induction motorΒ». The studies shown that the integral errors of estimation during the observer working out of protracted transient processes are at an acceptable level: according to the speed estimation, they do not exceed 0,5 %, and according to the estimation of the load torque on the shaft no more than 20 %.Β The estimation error in steady-state regimes and in the absence of parameter variations is less than 1 %

    Resonant oscillations with a limiting amplitude in a vibration electromagnetic activator

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    ΠΠΊΡ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ исслСдования обусловлСна Ρ‚Π΅ΠΌ, Ρ‡Ρ‚ΠΎ Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Π΅ элСктромагнитныС Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Ρ‹ ΡΠ²Π»ΡΡŽΡ‚ΡΡ пСрспСктивными для примСнСния Π² Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… тСхнологиях, связанных с Π΄ΠΎΠ±Ρ‹Ρ‡Π΅ΠΉ ΠΈ транспортировкой гСорСсурсов, Π² Ρ‚ΠΎΠΌ числС ΠΏΡ€ΠΈ ΠΏΡ€ΠΈΠ³ΠΎΡ‚ΠΎΠ²Π»Π΅Π½ΠΈΠΈ Π±ΡƒΡ€ΠΎΠ²Ρ‹Ρ… растворов ΠΈ Ρ€Π°Π·ΠΆΠΈΠΆΠ΅Π½ΠΈΠΈ вязких Π½Π΅Ρ„Ρ‚Π΅ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ‚ΠΎΠ². Π’ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹ΠΉ элСктромагнитный Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€ прСдставляСт собой ΡΠ»Π΅ΠΊΡ‚Ρ€ΠΈΡ‡Π΅ΡΠΊΡƒΡŽ ΠΌΠ°ΡˆΠΈΠ½Ρƒ Π²ΠΎΠ·Π²Ρ€Π°Ρ‚Π½ΠΎ-ΠΏΠΎΡΡ‚ΡƒΠΏΠ°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ двиТСния с якорСм-Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€ΠΎΠΌ, ΠΎΠ±Ρ€Π°Π·ΡƒΡŽΡ‰ΠΈΠΌ Π² ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΠΎΠ±Ρ€Π°Π±Π°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ срСдС Ρ‚ΡƒΡ€Π±ΡƒΠ»Π΅Π½Ρ‚Π½Ρ‹Π΅ Π·Π°Ρ‚ΠΎΠΏΠ»Π΅Π½Π½Ρ‹Π΅ струи. Π’ ΠΏΠ΅Ρ€Π²ΠΎΠΌ ΠΏΠΎΠΏΡƒΠΏΠ΅Ρ€ΠΈΠΎΠ΄Π΅ ΡΠΊΠΎΡ€ΡŒ-Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€ притягиваСтся ΠΊ стСнкС Π·Π° счСт ΠΈΠΌΠΏΡƒΠ»ΡŒΡΠ° Ρ‚ΠΎΠΊΠ° Π² ΠΊΠ°Ρ‚ΡƒΡˆΠΊΠ°Ρ…, ΠΏΡ€ΠΈ этом Π² ΡƒΠΏΡ€ΡƒΠ³ΠΎΠΉ ΠΏΡ€ΡƒΠΆΠΈΠ½Π΅ накапливаСтся ΠΏΠΎΡ‚Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½Π°Ρ энСргия. Π­Ρ‚ΠΎΡ‚ Ρ€Π΅ΠΆΠΈΠΌ являСтся Ρ€Π΅ΠΆΠΈΠΌΠΎΠΌ Π²Ρ‹Π½ΡƒΠΆΠ΄Π΅Π½Π½Ρ‹Ρ… ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Π² мСханичСской систСмС Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ элСктромагнитного Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π°. Π’ΠΎ Π²Ρ‚ΠΎΡ€ΠΎΠΌ ΠΏΠΎΠ»ΡƒΠΏΠ΅Ρ€ΠΈΠΎΠ΄Π΅ Ρ‚ΠΎΠΊ Π² ΠΊΠ°Ρ‚ΡƒΡˆΠΊΠ°Ρ… отсутствуСт, Π° ΡΠΊΠΎΡ€ΡŒ-Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€ отталкиваСтся ΠΎΡ‚ стСнок Π·Π° счСт энСргии ΠΏΡ€ΡƒΠΆΠΈΠ½Ρ‹ - это Ρ€Π΅ΠΆΠΈΠΌ свободных ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Π² мСханичСской систСмС. Π‘ Ρ‚ΠΎΡ‡ΠΊΠΈ зрСния ΡƒΠ»ΡƒΡ‡ΡˆΠ΅Π½ΠΈΡ энСргоэффСктивности слСдуСт Π½Π°ΡΡ‚Ρ€Π°ΠΈΠ²Π°Ρ‚ΡŒ Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹ΠΉ элСктромагнитный Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€ Π½Π° Ρ€Π΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡƒΡŽ частоту. РСзонансная частота Π½Π΅ являСтся постоянной ΠΈ зависит ΠΎΡ‚ свойств ΠΎΠ±Ρ€Π°Π±Π°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ Тидкости. Π€ΠΎΡ€ΠΌΠ° Π²Ρ‹Π½ΡƒΠΆΠ΄Π°ΡŽΡ‰Π΅ΠΉ колСбания силы Π΄ΠΎΠ»ΠΆΠ½Π° Π±Ρ‹Ρ‚ΡŒ Ρ‚Π°ΠΊΠΎΠΉ, Ρ‡Ρ‚ΠΎΠ±Ρ‹ ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°Ρ‚ΡŒ колСбания Π² мСханичСской систСмС Π½Π° рСзонансной частотС с ΠΏΡ€Π΅Π΄Π΅Π»ΡŒΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡ‚ΡƒΠ΄ΠΎΠΉ, Ρ‡Ρ‚ΠΎ обСспСчит ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΠ΅ энСргоэффСктивности ΠΈ ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ элСктромагнитного Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π°. ЦСль: провСсти аналитичСскиС исслСдования, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‰ΠΈΠ΅ ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°Ρ‚ΡŒ рСзонансныС колСбания с ΠΏΡ€Π΅Π΄Π΅Π»ΡŒΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡ‚ΡƒΠ΄ΠΎΠΉ Π² Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½ΠΎΠΌ элСктромагнитном Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π΅. ΠœΠ΅Ρ‚ΠΎΠ΄Ρ‹ исслСдования основаны Π½Π° использовании ΠΎΠ±Ρ‹ΠΊΠ½ΠΎΠ²Π΅Π½Π½Ρ‹Ρ… Π΄ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½Ρ‹Ρ… ΡƒΡ€Π°Π²Π½Π΅Π½ΠΈΠΉ, прСобразования Лапласа, Π°ΠΌΠΏΠ»ΠΈΡ‚ΡƒΠ΄Π½ΠΎ-частотных характСристик, систСм Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½Ρ‹Ρ… алгСбраичСских ΡƒΡ€Π°Π²Π½Π΅Π½ΠΈΠΉ, ΡΠΏΠ΅ΠΊΡ‚Ρ€Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°, сопоставлСния аналитичСских ΠΈ ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… характСристик. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹. На основС Π»ΠΈΠ½Π΅Π°Ρ€ΠΈΠ·ΠΎΠ²Π°Π½Π½ΠΎΠΉ матСматичСской ΠΌΠΎΠ΄Π΅Π»ΠΈ мСханичСской систСмы Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ элСктромагнитного Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π° рассмотрСн Ρ€Π΅ΠΆΠΈΠΌ свободных ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ якоря-Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π° с ΠΏΡ€Π΅Π΄Π΅Π»ΡŒΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡ‚ΡƒΠ΄ΠΎΠΉ. Π Π΅ΠΆΠΈΠΌ Π²Ρ‹Π½ΡƒΠΆΠ΄Π΅Π½Π½Ρ‹Ρ… ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ прСдлагаСтся Ρ€Π°ΡΡΠΌΠ°Ρ‚Ρ€ΠΈΠ²Π°Ρ‚ΡŒ ΠΊΠ°ΠΊ СстСствСнноС Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΠ΅ ΠΊ Ρ€Π΅ΠΆΠΈΠΌΡƒ свободных ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ с Π²Ρ‹Π½ΡƒΠΆΠ΄Π°ΡŽΡ‰Π΅ΠΉ силой, Π΄Π΅ΠΉΡΡ‚Π²ΡƒΡŽΡ‰Π΅ΠΉ ΠΏΠΎΠ»ΠΎΠ²ΠΈΠ½Ρƒ ΠΏΠ΅Ρ€ΠΈΠΎΠ΄Π° ΠΈ ΠΈΠΌΠ΅ΡŽΡ‰Π΅ΠΉ ΡΠΏΠ΅Ρ†ΠΈΠ°Π»ΡŒΠ½ΡƒΡŽ Ρ„ΠΎΡ€ΠΌΡƒ. Показано, Ρ‡Ρ‚ΠΎ Ρ€Π΅ΠΆΠΈΠΌΡ‹ свободных ΠΈ Π²Ρ‹Π½ΡƒΠΆΠ΄Π΅Π½Π½Ρ‹Ρ… ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ сущСствСнно зависят ΠΎΡ‚ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² мСханичСской систСмы, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΡΡŽΡ‚ΡΡ свойствами ΠΎΠ±Ρ€Π°Π±Π°Ρ‚Ρ‹Π²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΠΉ срСды. ΠŸΡ€ΠΎΠ²Π΅Π΄Π΅Π½ ΡΠΏΠ΅ΠΊΡ‚Ρ€Π°Π»ΡŒΠ½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ· Π²Ρ‹Π½ΡƒΠΆΠ΄Π°ΡŽΡ‰Π΅ΠΉ силы, ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°ΡŽΡ‰Π΅ΠΉ рСзонансныС колСбания с ΠΏΡ€Π΅Π΄Π΅Π»ΡŒΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡ‚ΡƒΠ΄ΠΎΠΉ Π² мСханичСской систСмС Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ элСктромагнитного Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π°. ΠŸΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΎ тСхничСскоС Ρ€Π΅ΡˆΠ΅Π½ΠΈΠ΅, ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°ΡŽΡ‰Π΅Π΅ ΡƒΠΏΡ€Π°Π²Π»Π΅Π½ΠΈΠ΅ Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹ΠΌ элСктромагнитным Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€ΠΎΠΌ с автоматичСской настройкой Π½Π° Ρ€Π΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡƒΡŽ частоту ΠΈ ΠΏΡ€Π΅Π΄Π΅Π»ΡŒΠ½ΡƒΡŽ Π°ΠΌΠΏΠ»ΠΈΡ‚ΡƒΠ΄Ρƒ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ якоря-Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π°. Π’Π°ΠΊΠΎΠΉ Ρ€Π΅ΠΆΠΈΠΌ обСспСчиваСт ΠΌΠ°ΠΊΡΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΡŽ энСргоэффСктивности ΠΈ ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ процСссов ΠΏΠ΅Ρ€Π΅ΠΌΠ΅ΡˆΠΈΠ²Π°Π½ΠΈΡ ΠΆΠΈΠ΄ΠΊΠΈΡ… ΠΎΠ±Ρ€Π°Π±Π°Ρ‚Ρ‹Π²Π°Π΅ΠΌΡ‹Ρ… срСд. На основС сопоставлСния аналитичСских ΠΈ ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… частотных характСристик ΠΏΠΎΠ΄Ρ‚Π²Π΅Ρ€ΠΆΠ΄Π΅Π½Π° Π³ΠΈΠΏΠΎΡ‚Π΅Π·Π° ΠΎ допустимости Π»ΠΈΠ½Π΅Π°Ρ€ΠΈΠ·Π°Ρ†ΠΈΠΈ матСматичСской ΠΌΠΎΠ΄Π΅Π»ΠΈ мСханичСской систСмы Π²ΠΈΠ±Ρ€Π°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ элСктромагнитного Π°ΠΊΡ‚ΠΈΠ²Π°Ρ‚ΠΎΡ€Π° ΠΏΡ€ΠΈ аналитичСском исслСдовании Π²Ρ‹Π½ΡƒΠΆΠ΄Π°ΡŽΡ‰Π΅ΠΉ силы ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΎΠΉ Ρ„ΠΎΡ€ΠΌΡ‹.The relevance of the research is caused by the fact that vibration electromagnetic activators are promising for use in various technologies. These technologies are associated with extraction and transportation of georesources, including preparation of drilling fluids and liquefaction of viscous oil products. Vibrating electromagnetic activator is an electric machine of reciprocating motion with an armatureactivator, which forms turbulent submerged jets in a treated liquid medium. In the first half-period, the armature-activator is attracted to the wall due to a current pulse in the coils and potential energy is accumulated in the elastic spring. This is a mode of forced oscillations in mechanical system of a vibrating electromagnetic activator. In the second half-period there is no current in the coils and the armature-activator is repelled from the walls due to the spring energy. This is the mode of free oscillations in the mechanical system. Vibration electromagnetic activators should be tuned to the resonant frequency to maximize energy efficiency. The resonant frequency is not constant and depends on the properties of the treated fluid. The shape of the force-induced oscillation must provide oscillations in mechanical system at the resonant frequency with a limiting amplitude. This fact will increase the energy efficiency and performance of a vibration electromagnetic activator. The main aim of the research is to conduct analytical research to provide resonant oscillations with a limiting amplitude in a vibration electromagnetic activator. Methods of the research are based on using ordinary differential equations, Laplace transform, amplitude-frequency characteristics, systems of nonlinear algebraic equations, spectral analysis, comparison of analytical and experimental characteristics Results. The authors have considered the mode of free oscillations of the armature-activator with the limiting amplitude based on linearized mathematical model of the mechanical vibration electromagnetic activator system. The mode of forced oscillations is proposed to be considered as a natural addition to the mode of free oscillations with a driving force that acts half the period and has a special form. It is shown that the modes of free and forced oscillations substantially depend on the parameters of the mechanical system. Such parameters depend on the properties of the treated liquid medium. The authors carried out the spectral analysis of the driving force, providing resonant oscillations with a limiting amplitude in the vibration electromagnetic activator mechanical system. The paper introduces the technical solution that ensures the control of the vibration electromagnetic activator with automatic tuning to the resonant frequency and the limiting amplitude of oscillations of the armature-activator. This mode maximizes the energy efficiency and productivity of the mixing liquid processed media. Based on a comparison of analytical and experimental frequency characteristics the authors confirmed the hypothesis of admissibility of linearizing the mathematical model of vibration electromagnetic activator mechanical system in an analytical study of the driving force of the optimal form
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