Кафедра "Математичне моделювання та інтелектуальні обчислення в інженерії"

Постійне посилання колекціїhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/1366

Офіційний сайт кафедри http://web.kpi.kharkov.ua/dpm

Від 2022 року кафедра має назву "Математичне моделювання та інтелектуальні обчислення в інженерії", первісна назва – "Динаміка та міцність машин".

Iсторія кафедри починається в 1930 році, коли в нашому університеті, що називався тоді Харківський механіко-машинобудівний інститут, була створена спеціальність "Динаміка і міцність машин".

Засновниками спеціальності були видатні вчені: академіки Йоффе Абрам Федорович, Обреїмов Іван Васильович, Синельников Кирило Дмитрович, професор Бабаков Іван Михайлович. В різні роки кафедрою завідували: член-корреспондент АН УРСР Майзель Вениамин Михайлович (1936-1941); академік АН УРСР Філіппов Анатолій Петрович (1948-1960), професор, доктор технічних наук, лауреат Державної премії України Богомолов Сергій Іванович (1960-1991); професор, доктор технічних наук, академік АН вищої школи України Львов Геннадій Іванович (1992-2020). Від 2020 року і по теперішній час завідувач кафедри – лауреат премії Президента України для молодих вчених за видатні досягнення, доцент, кандидат технічних наук Водка Олексій Олександрович.

Кафедра входить до складу Навчально-наукового інституту комп'ютерного моделювання, прикладної фізики та математики Національного технічного університету "Харківський політехнічний інститут". Наукова школа з динаміки і міцності машин, створена в нашому університеті, широко відома у світі.

У складі науково-педагогічного колективу кафедри працюють; 2 доктора технічних наук, 7 кандидатів технічних наук, 1 доктор філософії; 2 співробітника мають звання професора, 5 – доцента.

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  • Ескіз
    Документ
    Information Technology in the Modeling of Dry Gas Seal for Centrifugal Compressors
    (2020) Rozova, Lyudmila; Martynenko, Gennadii
    The developed specialized software package for computer modeling of dry gas seals for the rotors of centrifugal compressors is presented. This software package implements the mathematical model that describes improved methodology for seals modeling and solving under steady-state compressor operating conditions. It allows to make a model of working gap between the seal rings, which changes under the influence of gas pressure and temperature. This improved computer modeling can provide the reliable operation of dry gas seals. The developed software package has been tested on real constructions of dry gas seals with different types of groves. The results of test solutions were compared with available in literature and experimental studies.
  • Ескіз
    Документ
    The Use of Information Technology for the Design of a Prototype Engine with Rotor in Magnetic Bearings
    (Національний аерокосмічний університет ім. М. Є. Жуковського, 2019) Martynenko, Gennadii; Ulianov, Yuriy; Marusenko, Oleksii; Rozova, Lyudmila
    The questions of planning and calculation of prototype magnetic rotor suspension of small engines at making of elaborate machine-building designs in particular pumps, turbo-expanders or expanders of compressor units of small and medium sizes. The preliminary estimation of dynamic descriptions of the rotor systems requires development of adequate mathematical models with taking into account numerous parameters, including design features, such as supports, stiffness and damping characteristics. A laboratory installation of a complete magnetic suspension of a horizontal rotor according to a combined magnetic-electromagnetic type is proposed and implemented. It uses two passive magnetic bearings created using two annular permanent magnets with axial magnetization as two radial bearings. The axial support is an active magnetic bearing (AMB) with stators in the form of armored cores. The functionality of this AMB uses a discrete method and an analog control system. Finite-element modeling was carried out and the dynamic characteristics of the structure under study were calculated. An experimental installation of the rotor propotype was developed and manufactured, with the help of which experimental testing of the developed model was carried out and the reliability of the calculated results was verified. Comparison of calculated and experimental results shows the effectiveness of the application of information technology in the design of complex engineering structures.
  • Ескіз
    Документ
    Application of nonlinear models for a well-defined description of the dynamics of rotors in magnetic bearings
    (Scientific Route, Estonia, 2016) Martynenko, Gennadii
    A research report has been submitted. It deals with implementing a method for a mathematical description of the nonlinear dynamics of rotors in magnetic bearings of different types (passive and active). The method is based on Lagrange-Maxwell differential equations in a form similar to that of Routh equations in mechanics. The mathematical models account for such nonlinearities as the nonlinear dependencies of magnetic forces on gaps in passive and active magnetic bearings and on currents in the windings of electromagnets; nonlinearities related to the inductances in coils; the geometric link between the electromagnets in one AMB and the link between all AMBs in one rotor, which results in relatedness of processes in orthogonal directions, and other factors. The suggested approach made it possible to detect and investigate different phenomena in nonlinear rotor dynamics. The method adequacy has been confirmed experimentally on a laboratory setup, which is a prototype of a complete combined magnetic-electromagnetic suspension in small-size rotor machinery. Different variants of linearizing the equations of motion have been considered. They provide for both linearization of restoring magnetic or electromagnetic forces in passive and active magnetic bearings, and exclusion of nonlinear motion equation terms. Calculation results for several linearization variants have been obtained. An appraisal of results identified the drawbacks of linearized mathematical models and allowed drawing a conclusion on the necessity of applying nonlinear models for a well-defined description of the dynamics of rotor systems with magnetic bearings.
  • Ескіз
    Документ
    The interrelated modelling method of the nonlinear dynamics of rigid rotors in passive and active magnetic bearings
    (ЧП "Технологический Центр", 2016) Martynenko, Gennadii
    A method is suggested for building mathematical models of dynamics of rotors in magnetic bearings of different types (passive and active). It is based on Lagrange-Maxwell differential equations in a form identical to that of Routh equations in mechanics. The expressions for magnetic energy and forces in active magnetic bearings with account for control laws for introducing them into the mathematical models have been found by adapting the analytical method of analysing magnetic circuits. This method is based on building equivalent circuits and using the loop flux method to account for dissipation fluxes and magnetic resistances of AMB magnetic circuit sections and ensure noncriticality of the mathematical model to emergence of "zero" gaps and currents. Besides, the mathematical models account for such nonlinearities as nonlinear dependence of magnetic forces on gaps in passive and active magnetic bearings and on currents in the coils of electromagnets, nonlinearities linked to coil inductance, a geometric link between electromagnets in one AMB and links between all AMB in one rotor, which results, among other factors, in connectedness of processes in orthogonal directions. The method’s validity has been confirmed experimentally by a laboratory setup being a prototype of a complete combined magnetic-electromagnetic suspension in small-size rotor machinery. The suggested approach has helped detect in the system and investigate different nonlinear rotor dynamics phenomena such as super- and subharmonic vibrations with determination of resonance modes.