9 research outputs found
The soviet powerβs attitude to the Latvian Orthodox Church in 1940β1941
The analysis of the Soviet regimeβs church policy in the territory of Latvia in 1940β 1941 till now has been limited to the βa prioriβ thesis about the pejorative attitude of a communistic ideology to a religion and a Church. The author investigates the basic directions of this policy in relation to the Latvian Orthodox Church (further β LOC). According to the author, in 1940β1941 on Latviaβs territories the Soviet powerβs politics in relation to LOC can be divided into three basic periods: 1) June, 1940 β January, 1941 β the period of administrative, psychological and economic pressure upon believers and clergy; 2) February β May, 1941 β the period of a rigid psychological pressure and the taxationβs increasing of a church property; 3) June, 1941 β the beginning of undisguised repressions against a clergy the jurisdiction of Latvian Church was changed from the autonomy under the Constantinople Patriarchy to the Latvian diocese of the Moscow Patriarchy. The management of the Church was changed too: the Head of Latviaβs and Estoniaβs exarchate Sergiy (Voskresensky), the metropolitan of Vilensk and Lithuanian, instead of Augustine (Peterson), the metropolitan Riga and Latvia. Generically, the orthodox believers and clergy endured this most complicated time with advantage. Moreover, the persecutions that were developed against the Church assisted the believers in rallying round the clergy and the clergy β round the church management such as a Diocesan council and a Exarchβs administration. Keywords: the Latvian Orthodox Church, Church-state relation, metropolitan Sergiy (Voskresensky), metropolitan Augustine (Petersons), the Soviet regime in Latvia in 1940β1941
Testing a new alternative electric furnace for vermiculite concentrates heat treatment
Relevance. Vermiculite is one of the representatives of geo-resources that are widely used in various industries. The expanded vermiculite is obtained by heat treating of vermiculite ore concentrates in open flame furnaces. Expanded vermiculite, due to its layered-porous structure and high reflectivity, is the base for obtaining many thermo-insulating and refractory materials and products. Vermiculite is a part of building materials, and it is used to protect against radiation. Heat treating of vermiculite ores in flaming furnaces is an energyintensive process; therefore the designs of electric modular-trigger furnaces are being actively developed. These furnaces have not significantly reduced the specific energy intensity of the firing process, that is why the work on creation of electric furnaces is up-to-date. This research is aimed to develop and construct a furnace prototype of a fundamentally new design. The aim of the research is the experimental determination of operational specifications of a furnace model with a vibrating bottom platform which is a separate single-phase firing module during testing. Methods: analysis of information sources in the field of research, synthesis of constructive solutions, physical modeling, parametric and functional description, experimental studies. Results. The authors have developed the alternative electric furnace for firing vermiculite concentrates with a fundamentally new design structure which is a furnace with a vibrating bottom platform. A full-scale physical model of the furnace unit - a single-phase and single-module unit, was developed. Using the above-mentioned physical model the authors carried out the experiments and obtained the empirical data. During the experimental studies, the density of the expanded vermiculite was 90β¦91 kg/m3 and the productivity was 3,56 m3/h. The value of volume energy for various types of vermiculite roasting is 63,7β¦81,6 mJ/m3, which is almost three times less than that of existing open flame furnaces operating on hydrocarbon fuel
Resonant oscillations with a limiting amplitude in a vibration electromagnetic activator
ΠΠΊΡΡΠ°Π»ΡΠ½ΠΎΡΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π° ΡΠ΅ΠΌ, ΡΡΠΎ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠ΅ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠ΅ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΡ ΡΠ²Π»ΡΡΡΡΡ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΡΠΌΠΈ Π΄Π»Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ Π² ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΡ
, ΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Ρ Π΄ΠΎΠ±ΡΡΠ΅ΠΉ ΠΈ ΡΡΠ°Π½ΡΠΏΠΎΡΡΠΈΡΠΎΠ²ΠΊΠΎΠΉ Π³Π΅ΠΎΡΠ΅ΡΡΡΡΠΎΠ², Π² ΡΠΎΠΌ ΡΠΈΡΠ»Π΅ ΠΏΡΠΈ ΠΏΡΠΈΠ³ΠΎΡΠΎΠ²Π»Π΅Π½ΠΈΠΈ Π±ΡΡΠΎΠ²ΡΡ
ΡΠ°ΡΡΠ²ΠΎΡΠΎΠ² ΠΈ ΡΠ°Π·ΠΆΠΈΠΆΠ΅Π½ΠΈΠΈ Π²ΡΠ·ΠΊΠΈΡ
Π½Π΅ΡΡΠ΅ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ². ΠΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΉ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΡΠΎΠ±ΠΎΠΉ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΡΡ ΠΌΠ°ΡΠΈΠ½Ρ Π²ΠΎΠ·Π²ΡΠ°ΡΠ½ΠΎ-ΠΏΠΎΡΡΡΠΏΠ°ΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ Π΄Π²ΠΈΠΆΠ΅Π½ΠΈΡ Ρ ΡΠΊΠΎΡΠ΅ΠΌ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠΎΠΌ, ΠΎΠ±ΡΠ°Π·ΡΡΡΠΈΠΌ Π² ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΡΡΠ΅Π΄Π΅ ΡΡΡΠ±ΡΠ»Π΅Π½ΡΠ½ΡΠ΅ Π·Π°ΡΠΎΠΏΠ»Π΅Π½Π½ΡΠ΅ ΡΡΡΡΠΈ. Π ΠΏΠ΅ΡΠ²ΠΎΠΌ ΠΏΠΎΠΏΡΠΏΠ΅ΡΠΈΠΎΠ΄Π΅ ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ ΠΏΡΠΈΡΡΠ³ΠΈΠ²Π°Π΅ΡΡΡ ΠΊ ΡΡΠ΅Π½ΠΊΠ΅ Π·Π° ΡΡΠ΅Ρ ΠΈΠΌΠΏΡΠ»ΡΡΠ° ΡΠΎΠΊΠ° Π² ΠΊΠ°ΡΡΡΠΊΠ°Ρ
, ΠΏΡΠΈ ΡΡΠΎΠΌ Π² ΡΠΏΡΡΠ³ΠΎΠΉ ΠΏΡΡΠΆΠΈΠ½Π΅ Π½Π°ΠΊΠ°ΠΏΠ»ΠΈΠ²Π°Π΅ΡΡΡ ΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½Π°Ρ ΡΠ½Π΅ΡΠ³ΠΈΡ. ΠΡΠΎΡ ΡΠ΅ΠΆΠΈΠΌ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ΅ΠΆΠΈΠΌΠΎΠΌ Π²ΡΠ½ΡΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. ΠΠΎ Π²ΡΠΎΡΠΎΠΌ ΠΏΠΎΠ»ΡΠΏΠ΅ΡΠΈΠΎΠ΄Π΅ ΡΠΎΠΊ Π² ΠΊΠ°ΡΡΡΠΊΠ°Ρ
ΠΎΡΡΡΡΡΡΠ²ΡΠ΅Ρ, Π° ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ ΠΎΡΡΠ°Π»ΠΊΠΈΠ²Π°Π΅ΡΡΡ ΠΎΡ ΡΡΠ΅Π½ΠΎΠΊ Π·Π° ΡΡΠ΅Ρ ΡΠ½Π΅ΡΠ³ΠΈΠΈ ΠΏΡΡΠΆΠΈΠ½Ρ - ΡΡΠΎ ΡΠ΅ΠΆΠΈΠΌ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅. Π‘ ΡΠΎΡΠΊΠΈ Π·ΡΠ΅Π½ΠΈΡ ΡΠ»ΡΡΡΠ΅Π½ΠΈΡ ΡΠ½Π΅ΡΠ³ΠΎΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΡΠ»Π΅Π΄ΡΠ΅Ρ Π½Π°ΡΡΡΠ°ΠΈΠ²Π°ΡΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΉ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ Π½Π° ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΡ ΡΠ°ΡΡΠΎΡΡ. Π Π΅Π·ΠΎΠ½Π°Π½ΡΠ½Π°Ρ ΡΠ°ΡΡΠΎΡΠ° Π½Π΅ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠΉ ΠΈ Π·Π°Π²ΠΈΡΠΈΡ ΠΎΡ ΡΠ²ΠΎΠΉΡΡΠ² ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ. Π€ΠΎΡΠΌΠ° Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ ΡΠΈΠ»Ρ Π΄ΠΎΠ»ΠΆΠ½Π° Π±ΡΡΡ ΡΠ°ΠΊΠΎΠΉ, ΡΡΠΎΠ±Ρ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π½Π° ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΠΎΠΉ ΡΠ°ΡΡΠΎΡΠ΅ Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ, ΡΡΠΎ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΡ ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΎΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. Π¦Π΅Π»Ρ: ΠΏΡΠΎΠ²Π΅ΡΡΠΈ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠΈΠ΅ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡ ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΠ΅ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ Π² Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΌ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ΅. ΠΠ΅ΡΠΎΠ΄Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΎΡΠ½ΠΎΠ²Π°Π½Ρ Π½Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ ΠΎΠ±ΡΠΊΠ½ΠΎΠ²Π΅Π½Π½ΡΡ
Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΡΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ, ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΠ°ΠΏΠ»Π°ΡΠ°, Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄Π½ΠΎ-ΡΠ°ΡΡΠΎΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ, ΡΠΈΡΡΠ΅ΠΌ Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ, ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°, ΡΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΡ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ Π»ΠΈΠ½Π΅Π°ΡΠΈΠ·ΠΎΠ²Π°Π½Π½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½ ΡΠ΅ΠΆΠΈΠΌ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ. Π Π΅ΠΆΠΈΠΌ Π²ΡΠ½ΡΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡ ΠΊΠ°ΠΊ Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ΅ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΠ΅ ΠΊ ΡΠ΅ΠΆΠΈΠΌΡ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Ρ Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΡΠΈΠ»ΠΎΠΉ, Π΄Π΅ΠΉΡΡΠ²ΡΡΡΠ΅ΠΉ ΠΏΠΎΠ»ΠΎΠ²ΠΈΠ½Ρ ΠΏΠ΅ΡΠΈΠΎΠ΄Π° ΠΈ ΠΈΠΌΠ΅ΡΡΠ΅ΠΉ ΡΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΡ ΡΠΎΡΠΌΡ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΡΠ΅ΠΆΠΈΠΌΡ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΈ Π²ΡΠ½ΡΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΡΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎ Π·Π°Π²ΠΈΡΡΡ ΠΎΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡΡΡ ΡΠ²ΠΎΠΉΡΡΠ²Π°ΠΌΠΈ ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΡΡΠ΅Π΄Ρ. ΠΡΠΎΠ²Π΅Π΄Π΅Π½ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΡΠΈΠ»Ρ, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡΠ΅ΠΉ ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΠ΅ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΎ ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡΠ΅Π΅ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠ΅ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠΎΠΌ Ρ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π½Π°ΡΡΡΠΎΠΉΠΊΠΎΠΉ Π½Π° ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΡ ΡΠ°ΡΡΠΎΡΡ ΠΈ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΡΡ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄Ρ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. Π’Π°ΠΊΠΎΠΉ ΡΠ΅ΠΆΠΈΠΌ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°Π΅Ρ ΠΌΠ°ΠΊΡΠΈΠΌΠΈΠ·Π°ΡΠΈΡ ΡΠ½Π΅ΡΠ³ΠΎΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΏΠ΅ΡΠ΅ΠΌΠ΅ΡΠΈΠ²Π°Π½ΠΈΡ ΠΆΠΈΠ΄ΠΊΠΈΡ
ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΡΡ
ΡΡΠ΅Π΄. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΡ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΡΠ°ΡΡΠΎΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½Π° Π³ΠΈΠΏΠΎΡΠ΅Π·Π° ΠΎ Π΄ΠΎΠΏΡΡΡΠΈΠΌΠΎΡΡΠΈ Π»ΠΈΠ½Π΅Π°ΡΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° ΠΏΡΠΈ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΡΠΈΠ»Ρ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΡΠΎΡΠΌΡ.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
Resonant oscillations with a limiting amplitude in a vibration electromagnetic activator
ΠΠΊΡΡΠ°Π»ΡΠ½ΠΎΡΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π° ΡΠ΅ΠΌ, ΡΡΠΎ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠ΅ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠ΅ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΡ ΡΠ²Π»ΡΡΡΡΡ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΡΠΌΠΈ Π΄Π»Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ Π² ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΡ
, ΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Ρ Π΄ΠΎΠ±ΡΡΠ΅ΠΉ ΠΈ ΡΡΠ°Π½ΡΠΏΠΎΡΡΠΈΡΠΎΠ²ΠΊΠΎΠΉ Π³Π΅ΠΎΡΠ΅ΡΡΡΡΠΎΠ², Π² ΡΠΎΠΌ ΡΠΈΡΠ»Π΅ ΠΏΡΠΈ ΠΏΡΠΈΠ³ΠΎΡΠΎΠ²Π»Π΅Π½ΠΈΠΈ Π±ΡΡΠΎΠ²ΡΡ
ΡΠ°ΡΡΠ²ΠΎΡΠΎΠ² ΠΈ ΡΠ°Π·ΠΆΠΈΠΆΠ΅Π½ΠΈΠΈ Π²ΡΠ·ΠΊΠΈΡ
Π½Π΅ΡΡΠ΅ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ². ΠΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΉ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΡΠΎΠ±ΠΎΠΉ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΡΡ ΠΌΠ°ΡΠΈΠ½Ρ Π²ΠΎΠ·Π²ΡΠ°ΡΠ½ΠΎ-ΠΏΠΎΡΡΡΠΏΠ°ΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ Π΄Π²ΠΈΠΆΠ΅Π½ΠΈΡ Ρ ΡΠΊΠΎΡΠ΅ΠΌ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠΎΠΌ, ΠΎΠ±ΡΠ°Π·ΡΡΡΠΈΠΌ Π² ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΡΡΠ΅Π΄Π΅ ΡΡΡΠ±ΡΠ»Π΅Π½ΡΠ½ΡΠ΅ Π·Π°ΡΠΎΠΏΠ»Π΅Π½Π½ΡΠ΅ ΡΡΡΡΠΈ. Π ΠΏΠ΅ΡΠ²ΠΎΠΌ ΠΏΠΎΠΏΡΠΏΠ΅ΡΠΈΠΎΠ΄Π΅ ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ ΠΏΡΠΈΡΡΠ³ΠΈΠ²Π°Π΅ΡΡΡ ΠΊ ΡΡΠ΅Π½ΠΊΠ΅ Π·Π° ΡΡΠ΅Ρ ΠΈΠΌΠΏΡΠ»ΡΡΠ° ΡΠΎΠΊΠ° Π² ΠΊΠ°ΡΡΡΠΊΠ°Ρ
, ΠΏΡΠΈ ΡΡΠΎΠΌ Π² ΡΠΏΡΡΠ³ΠΎΠΉ ΠΏΡΡΠΆΠΈΠ½Π΅ Π½Π°ΠΊΠ°ΠΏΠ»ΠΈΠ²Π°Π΅ΡΡΡ ΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½Π°Ρ ΡΠ½Π΅ΡΠ³ΠΈΡ. ΠΡΠΎΡ ΡΠ΅ΠΆΠΈΠΌ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ΅ΠΆΠΈΠΌΠΎΠΌ Π²ΡΠ½ΡΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. ΠΠΎ Π²ΡΠΎΡΠΎΠΌ ΠΏΠΎΠ»ΡΠΏΠ΅ΡΠΈΠΎΠ΄Π΅ ΡΠΎΠΊ Π² ΠΊΠ°ΡΡΡΠΊΠ°Ρ
ΠΎΡΡΡΡΡΡΠ²ΡΠ΅Ρ, Π° ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ ΠΎΡΡΠ°Π»ΠΊΠΈΠ²Π°Π΅ΡΡΡ ΠΎΡ ΡΡΠ΅Π½ΠΎΠΊ Π·Π° ΡΡΠ΅Ρ ΡΠ½Π΅ΡΠ³ΠΈΠΈ ΠΏΡΡΠΆΠΈΠ½Ρ - ΡΡΠΎ ΡΠ΅ΠΆΠΈΠΌ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅. Π‘ ΡΠΎΡΠΊΠΈ Π·ΡΠ΅Π½ΠΈΡ ΡΠ»ΡΡΡΠ΅Π½ΠΈΡ ΡΠ½Π΅ΡΠ³ΠΎΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΡΠ»Π΅Π΄ΡΠ΅Ρ Π½Π°ΡΡΡΠ°ΠΈΠ²Π°ΡΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΉ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΉ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡ Π½Π° ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΡ ΡΠ°ΡΡΠΎΡΡ. Π Π΅Π·ΠΎΠ½Π°Π½ΡΠ½Π°Ρ ΡΠ°ΡΡΠΎΡΠ° Π½Π΅ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠΉ ΠΈ Π·Π°Π²ΠΈΡΠΈΡ ΠΎΡ ΡΠ²ΠΎΠΉΡΡΠ² ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ. Π€ΠΎΡΠΌΠ° Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ ΡΠΈΠ»Ρ Π΄ΠΎΠ»ΠΆΠ½Π° Π±ΡΡΡ ΡΠ°ΠΊΠΎΠΉ, ΡΡΠΎΠ±Ρ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π½Π° ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΠΎΠΉ ΡΠ°ΡΡΠΎΡΠ΅ Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ, ΡΡΠΎ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΡ ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΎΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. Π¦Π΅Π»Ρ: ΠΏΡΠΎΠ²Π΅ΡΡΠΈ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠΈΠ΅ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡ ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΠ΅ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ Π² Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΌ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ΅. ΠΠ΅ΡΠΎΠ΄Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΎΡΠ½ΠΎΠ²Π°Π½Ρ Π½Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ ΠΎΠ±ΡΠΊΠ½ΠΎΠ²Π΅Π½Π½ΡΡ
Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΡΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ, ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΠ°ΠΏΠ»Π°ΡΠ°, Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄Π½ΠΎ-ΡΠ°ΡΡΠΎΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ, ΡΠΈΡΡΠ΅ΠΌ Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ, ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°, ΡΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΡ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ Π»ΠΈΠ½Π΅Π°ΡΠΈΠ·ΠΎΠ²Π°Π½Π½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½ ΡΠ΅ΠΆΠΈΠΌ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ. Π Π΅ΠΆΠΈΠΌ Π²ΡΠ½ΡΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡ ΠΊΠ°ΠΊ Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ΅ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΠ΅ ΠΊ ΡΠ΅ΠΆΠΈΠΌΡ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Ρ Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΡΠΈΠ»ΠΎΠΉ, Π΄Π΅ΠΉΡΡΠ²ΡΡΡΠ΅ΠΉ ΠΏΠΎΠ»ΠΎΠ²ΠΈΠ½Ρ ΠΏΠ΅ΡΠΈΠΎΠ΄Π° ΠΈ ΠΈΠΌΠ΅ΡΡΠ΅ΠΉ ΡΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΡ ΡΠΎΡΠΌΡ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΡΠ΅ΠΆΠΈΠΌΡ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΡΡ
ΠΈ Π²ΡΠ½ΡΠΆΠ΄Π΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΡΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎ Π·Π°Π²ΠΈΡΡΡ ΠΎΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡΡΡ ΡΠ²ΠΎΠΉΡΡΠ²Π°ΠΌΠΈ ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΡΡΠ΅Π΄Ρ. ΠΡΠΎΠ²Π΅Π΄Π΅Π½ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΡΠΈΠ»Ρ, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡΠ΅ΠΉ ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΠ΅ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Ρ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΠΎΠΉ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄ΠΎΠΉ Π² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΠ΅ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΎ ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡΠ΅Π΅ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠ΅ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠΎΠΌ Ρ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π½Π°ΡΡΡΠΎΠΉΠΊΠΎΠΉ Π½Π° ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΡ ΡΠ°ΡΡΠΎΡΡ ΠΈ ΠΏΡΠ΅Π΄Π΅Π»ΡΠ½ΡΡ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄Ρ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. Π’Π°ΠΊΠΎΠΉ ΡΠ΅ΠΆΠΈΠΌ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°Π΅Ρ ΠΌΠ°ΠΊΡΠΈΠΌΠΈΠ·Π°ΡΠΈΡ ΡΠ½Π΅ΡΠ³ΠΎΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΏΠ΅ΡΠ΅ΠΌΠ΅ΡΠΈΠ²Π°Π½ΠΈΡ ΠΆΠΈΠ΄ΠΊΠΈΡ
ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΡΡ
ΡΡΠ΅Π΄. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΡ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΡΠ°ΡΡΠΎΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½Π° Π³ΠΈΠΏΠΎΡΠ΅Π·Π° ΠΎ Π΄ΠΎΠΏΡΡΡΠΈΠΌΠΎΡΡΠΈ Π»ΠΈΠ½Π΅Π°ΡΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° ΠΏΡΠΈ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ Π²ΡΠ½ΡΠΆΠ΄Π°ΡΡΠ΅ΠΉ ΡΠΈΠ»Ρ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΡΠΎΡΠΌΡ.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
Identification of parameters of vibration electromagnetic activator mechanical system using limiting near-resonance frequency
ΠΠΊΡΡΠ°Π»ΡΠ½ΠΎΡΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π° ΡΠ΅ΠΌ, ΡΡΠΎ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠ΅ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠ΅ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΡ ΡΠ²Π»ΡΡΡΡΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΡΠΌΠΈ ΡΡΡΡΠΎΠΉΡΡΠ²Π°ΠΌΠΈ Π΄Π»Ρ ΠΏΠ΅ΡΠ΅ΠΌΠ΅ΡΠΈΠ²Π°Π½ΠΈΡ ΡΡΡΠΏΠ΅Π½Π·ΠΈΠΉ, ΡΠΌΡΠ»ΡΡΠΈΠΉ, ΠΏΡΠΈΠ³ΠΎΡΠΎΠ²Π»Π΅Π½ΠΈΡ Π±ΡΡΠΎΠ²ΡΡ
ΡΠ°ΡΡΠ²ΠΎΡΠΎΠ², ΡΠ°Π·ΠΆΠΈΠΆΠ΅Π½ΠΈΡ Π²ΡΡΠΎΠΊΠΎΠ²ΡΠ·ΠΊΠΈΡ
Π½Π΅ΡΡΠ΅ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ². Π―ΠΊΠΎΡΡ ΡΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΈ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΡΠΎΠ±ΠΎΠΉ Π³ΠΈΠ΄ΡΠ°Π²Π»ΠΈΡΠ΅ΡΠΊΠΈΠΉ Π²Π΅Π½ΡΠΈΠ»Ρ. ΠΡΠΈ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΈ ΡΠΊΠΎΡΡ Π½Π° ΡΠ°ΡΡΠΎΡΠ°Ρ
, Π±Π»ΠΈΠ·ΠΊΠΈΡ
ΠΊ ΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΠΎΠΉ ΡΠ°ΡΡΠΎΡΠ΅, Π² ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΡΡΠ΅Π΄Π΅ ΡΠΎΠ·Π΄Π°ΡΡΡΡ Π³Π»ΡΠ±ΠΎΠΊΠΎ Π·Π°ΡΠΎΠΏΠ»Π΅Π½Π½ΡΠ΅ ΡΡΡΡΠΈ, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΏΡΠΈ ΠΎΡΠ½ΠΎΡΠΈΡΠ΅Π»ΡΠ½ΠΎ Π½Π΅Π²ΡΡΠΎΠΊΠΎΠΌ ΡΠ½Π΅ΡΠ³ΠΎΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΠΈ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡ Π²ΡΡΠΎΠΊΡΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅ΠΌΠ΅ΡΠΈΠ²Π°Π½ΠΈΡ ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΡΡΠ΅Π΄Ρ ΠΈ ΡΠ½ΠΈΠΆΠ΅Π½ΠΈΠ΅ Π²ΡΠ·ΠΊΠΎΡΡΠΈ Π½Π΅ΡΡΠ΅ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ² Π½Π° Π΄ΠΎΡΡΠ°ΡΠΎΡΠ½ΠΎ ΠΏΡΠΎΠ΄ΠΎΠ»ΠΆΠΈΡΠ΅Π»ΡΠ½ΠΎΠΌ ΠΈΠ½ΡΠ΅ΡΠ²Π°Π»Π΅ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ. Π Π΅Π·ΠΎΠ½Π°Π½ΡΠ½Π°Ρ ΡΠ°ΡΡΠΎΡΠ° ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ Π·Π°Π²ΠΈΡΠΈΡ ΠΎΡ ΠΆΠ΅ΡΡΠΊΠΎΡΡΠΈ ΠΏΡΡΠΆΠΈΠ½Ρ, ΠΌΠ°ΡΡΡ ΡΠΊΠΎΡΡ-Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°, ΠΏΡΠΈΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½Π½ΠΎΠΉ ΠΌΠ°ΡΡΡ ΠΊΠΎΠ»Π΅Π±Π»ΡΡΠ΅ΠΉΡΡ Ρ ΡΠΊΠΎΡΠ΅ΠΌ ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΡΡΠ΅Π΄Ρ ΠΈ ΠΎΡ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠ° Π²ΡΠ·ΠΊΠΎΠ³ΠΎ ΡΡΠ΅Π½ΠΈΡ, ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡΠ΅Π³ΠΎ ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΈΠΈ ΠΈΠ· ΠΊΠΎΠ»Π΅Π±Π»ΡΡΠ΅ΠΉΡΡ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ. ΠΡΠΈ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈ ΡΠ΅ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ²ΠΎΠΉΡΡΠ² ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΡΡΠ΅Π΄Ρ ΠΈΠ·ΠΌΠ΅Π½ΡΡΡΡΡ ΠΊΠ°ΠΊ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΊΠΎΠ»Π΅Π±Π°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ, ΡΠ°ΠΊ ΠΈ Π²ΠΈΠ΄ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄Π½ΠΎ-ΡΠ°ΡΡΠΎΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. Π‘ΠΏΠΎΡΠΎΠ± ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠΎΠ½ΠΈΡΠΎΡΠΈΠ½Π³Π° ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΡ ΡΠ΅ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ²ΠΎΠΉΡΡΠ² ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠΎΠΌ ΠΆΠΈΠ΄ΠΊΠΎΠΉ ΡΡΠ΅Π΄Ρ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΏΡΡΠΌΡΡ
ΠΈΠ·ΠΌΠ΅ΡΠ΅Π½ΠΈΠΉ, Π½Π°ΠΏΡΠΈΠΌΠ΅Ρ Ρ ΠΏΠΎΠΌΠΎΡΡΡ Π²ΠΈΡΠΊΠΎΠ·ΠΈΠΌΠ΅ΡΡΠΎΠ², ΠΏΡΠΈΠ³ΠΎΠ΄Π΅Π½ ΡΠΎΠ»ΡΠΊΠΎ Π΄Π»Ρ Π»Π°Π±ΠΎΡΠ°ΡΠΎΡΠ½ΡΡ
ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΈ Π½Π΅ Π³ΠΎΠ΄ΠΈΡΡΡ Π΄Π»Ρ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ Π²Π½Π΅Π΄ΡΠ΅Π½ΠΈΡ. ΠΠΎ ΠΌΠ½Π΅Π½ΠΈΡ Π°Π²ΡΠΎΡΠΎΠ², Π±ΠΎΠ»Π΅Π΅ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΡΠΌ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΠΉ Π½Π° ΡΠ΅ΡΠ΅Π½ΠΈΠΈ ΠΎΠ±ΡΠ°ΡΠ½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ, ΠΊΠΎΠ³Π΄Π°, Π°Π½Π°Π»ΠΈΠ·ΠΈΡΡΡ Π²ΠΈΠ΄ Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄Π½ΠΎ-ΡΠ°ΡΡΠΎΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°, Π² ΡΠ°ΡΡΠ½ΠΎΡΡΠΈ Π³ΡΠ°Π½ΠΈΡΠ½ΡΠ΅ ΠΎΠΊΠΎΠ»ΠΎΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΠ΅ ΡΠ°ΡΡΠΎΡΡ, ΠΌΠΎΠΆΠ½ΠΎ ΠΏΠΎΠ»ΡΡΠΈΡΡ Π΄ΠΎΡΡΠΎΠ²Π΅ΡΠ½ΡΠ΅ ΠΎΡΠ΅Π½ΠΊΠΈ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΊΠΎΠ»Π΅Π±Π°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°. ΠΡΠΈ ΠΎΡΠ΅Π½ΠΊΠΈ ΡΠ΄ΠΎΠ±Π½ΠΎ ΠΏΡΠΈΠΌΠ΅Π½ΡΡΡ Π΄Π»Ρ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΈ ΠΊΠ°ΠΊ ΠΊΠΎΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΠΌΠΎΠ½ΠΈΡΠΎΡΠΈΠ½Π³Π° ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΡ ΡΠ΅ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ²ΠΎΠΉΡΡΠ² ΠΎΠ±ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ Π² ΠΏΡΠΎΡΠ΅ΡΡΠ΅ ΡΠ°Π±ΠΎΡΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ°, ΡΠ°ΠΊ ΠΈ Π΄Π»Ρ ΡΡΠΎΠ²Π΅ΡΡΠ΅Π½ΡΡΠ²ΠΎΠ²Π°Π½ΠΈΡ ΡΡΡΡΠΊΡΡΡΡ ΡΠΈΡΡΠ΅ΠΌΡ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠΎΠΌ. Π¦Π΅Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π·Π°ΠΊΠ»ΡΡΠ°Π΅ΡΡΡ Π² ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ΅ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΈΠ΄Π΅Π½ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π°ΠΊΡΠΈΠ²Π°ΡΠΎΡΠ° Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π°Π½Π°Π»ΠΈΠ·Π° Π³ΡΠ°Π½ΠΈΡΠ½ΡΡ
ΠΎΠΊΠΎΠ»ΠΎΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΡ
ΡΠ°ΡΡΠΎΡ ΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠΈ Π³ΡΠ°Π½ΠΈΡ ΠΏΡΠΈΠΌΠ΅Π½ΠΈΠΌΠΎΡΡΠΈ ΠΌΠ΅ΡΠΎΠ΄Π° Π² ΡΠΈΠ»ΡΠ½ΠΎ Π½Π°Π³ΡΡΠΆΠ΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌΠ°Ρ
. ΠΠ΅ΡΠΎΠ΄Ρ: ΠΎΠ±ΡΠΊΠ½ΠΎΠ²Π΅Π½Π½ΡΠ΅ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΡΠ΅ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ, ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΠ°ΠΏΠ»Π°ΡΠ°, ΠΏΠ΅ΡΠ΅Π΄Π°ΡΠΎΡΠ½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ, Π°ΠΌΠΏΠ»ΠΈΡΡΠ΄Π½ΠΎ-ΡΠ°ΡΡΠΎΡΠ½ΡΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ, Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΡ, ΡΠ²ΡΠ·ΡΠ²Π°ΡΡΠΈΠ΅ Π³ΡΠ°Π½ΠΈΡΠ½ΡΠ΅ ΠΎΠΊΠΎΠ»ΠΎΡΠ΅Π·ΠΎΠ½Π°Π½ΡΠ½ΡΠ΅ ΡΠ°ΡΡΠΎΡΡ Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ°ΠΌΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΊΠΎΠ»Π΅Π±Π°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ, Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΊΠΎΡΠΎΡΡΡ
ΡΠΎΡΡΠ°Π²Π»ΡΡΡΡΡ ΡΠΈΡΡΠ΅ΠΌΡ Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ. ΠΠΎΠΊΠ°Π·Π°Π½Ρ Π³ΡΠ°Π½ΠΈΡΡ ΠΏΡΠΈΠΌΠ΅Π½ΠΈΠΌΠΎΡΡΠΈ ΠΌΠ΅ΡΠΎΠ΄Π° Π² ΡΠΈΠ»ΡΠ½ΠΎ Π½Π°Π³ΡΡΠΆΠ΅Π½Π½ΡΡ
ΠΊΠΎΠ»Π΅Π±Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌΠ°Ρ
.The relevance of the research is caused by the fact that vibration electromagnetic activators are effective devices for mixing suspensions, emulsions, preparing drilling fluids, liquefying highly viscous petroleum products. Armature has special design is a hydraulic rectifier. When the armature vibrates at near-resonance frequencies, deeply submerged jets are created in the treated fluid medium, which ensure high efficiency of mixing fluid medium and decrease in viscosity of petroleum products for a long time at relatively low energy consumption of the vibration electromagnetic activator. The resonant frequency of the mechanical system depends on spring stiffness, mass of the armature-activator, added mass of the fluid oscillating with the armature and viscous friction coefficient that determines the removal of energy from the vibration mechanical system. When the rheological properties of the treated fluid change, both the parameters of the mechanical vibration system and the type of frequency response of the vibration electromagnetic activator change. The method of organizing monitoring of changes in the rheological properties of a treated fluid medium with the vibration electromagnetic activator based on direct measurements, for example using viscometers, is suitable only for laboratory conditions and is not suitable for industrial implementation. According to the authors a more promising approach is based on solving an inverse mathematical problem when analyzing the vibration electromagnetic activator frequency response in particular limiting near-resonance frequency, one can get reliable estimates of the parameters of the vibration electromagnetic activator vibration mechanical system. It is convenient to use these estimates for organizing indirect monitoring of changes in the rheological properties of the treated fluid during the vibration electromagnetic activator operation and for improving the structure of the vibration electromagnetic activator automatic control system. The main aim of the research is to design the parameters identification of the vibration electromagnetic activator mechanical system using limiting near-resonance frequency method and to determine the method's limits of applicability in high damping vibration mechanical systems. Research methods: ordinary differential equations, Laplace transform, transmissibility, frequency response, algebraic equations. Results. The authors have obtained the analytical expressions relating the limiting near-resonance frequency to the parameters of a vibration mechanical system. Based on the latter the system of algebraic equations was obtained. The method's limits of applicability in high damping vibration mechanical systems are shown
Testing a new alternative electric furnace for vermiculite concentrates heat treatment
ΠΠΊΡΡΠ°Π»ΡΠ½ΠΎΡΡΡ. ΠΠ΄Π½ΠΈΠΌ ΠΈΠ· ΠΏΡΠ΅Π΄ΡΡΠ°Π²ΠΈΡΠ΅Π»Π΅ΠΉ Π³Π΅ΠΎΡΠ΅ΡΡΡΡΠΎΠ², Π½Π°ΡΠ΅Π΄ΡΠΈΡ
ΡΠΈΡΠΎΠΊΠΎΠ΅ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π² ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΡΠ΅ΡΠ°Ρ
ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΡΡΠΈ, ΡΠ²Π»ΡΠ΅ΡΡΡ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡ. ΠΠΎΡΠ»Π΅ ΠΎΠ±ΠΆΠΈΠ³Π° ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΎΠ² ΠΎΠ±ΠΎΠ³Π°ΡΠ΅Π½Π½ΡΡ
Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΡΡΠ΄ Π² ΠΏΠ»Π°ΠΌΠ΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ°Ρ
ΠΏΠΎΠ»ΡΡΠ°ΡΡ Π²ΡΠΏΡΡΠ΅Π½Π½ΡΠΉ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡ. ΠΡΠΏΡΡΠ΅Π½Π½ΡΠΉ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡ, Π±Π»Π°Π³ΠΎΠ΄Π°ΡΡ ΡΠ²ΠΎΠ΅ΠΉ ΡΠ»ΠΎΠΈΡΡΠΎ-ΠΏΠΎΡΠΈΡΡΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠ΅ ΠΈ Π²ΡΡΠΎΠΊΠΎΠΉ ΠΎΡΡΠ°ΠΆΠ°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡΠΈ, ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΎΡΠ½ΠΎΠ²ΠΎΠΉ Π΄Π»Ρ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΡ ΠΌΠ½ΠΎΠ³ΠΈΡ
ΡΠ΅ΡΠΌΠΎΠΈΠ·ΠΎΠ»ΡΡΠΈΠΎΠ½Π½ΡΡ
ΠΈ ΠΎΠ³Π½Π΅ΡΠΏΠΎΡΠ½ΡΡ
ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ² ΠΈ ΠΈΠ·Π΄Π΅Π»ΠΈΠΉ, Π²Ρ
ΠΎΠ΄ΠΈΡ Π² ΡΠΎΡΡΠ°Π² ΡΡΡΠΎΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ², ΠΏΡΠΈΠΌΠ΅Π½ΡΠ΅ΡΡΡ Π΄Π»Ρ Π·Π°ΡΠΈΡΡ ΠΎΡ ΡΠ°Π΄ΠΈΠ°ΡΠΈΠΈ. ΠΠ±ΠΆΠΈΠ³ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΡΡΠ΄ Π² ΠΏΠ»Π°ΠΌΠ΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ°Ρ
ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ½Π΅ΡΠ³ΠΎΠ΅ΠΌΠΊΠΈΠΌ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠΌ, ΠΏΠΎΡΡΠΎΠΌΡ Π°ΠΊΡΠΈΠ²Π½ΠΎ ΡΠ°Π·ΡΠ°Π±Π°ΡΡΠ²Π°ΡΡΡΡ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΈ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠΎΠ΄ΡΠ»ΡΠ½ΠΎ-ΡΠΏΡΡΠΊΠΎΠ²ΡΡ
ΠΏΠ΅ΡΠ΅ΠΉ. ΠΠ°Π½Π½ΡΠ΅ ΠΏΠ΅ΡΠΈ ΡΠ½ΠΈΠ·ΠΈΠ»ΠΈ ΡΠ΄Π΅Π»ΡΠ½ΡΡ ΡΠ½Π΅ΡΠ³ΠΎΠ΅ΠΌΠΊΠΎΡΡΡ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΎΠ±ΠΆΠΈΠ³Π°, Π² ΡΠ²ΡΠ·ΠΈ Ρ ΡΡΠΈΠΌ ΡΠ°Π±ΠΎΡΡ ΠΏΠΎ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ΅ΡΠ΅ΠΉ Π°ΠΊΡΡΠ°Π»ΡΠ½Ρ. Π ΡΠ°Π±ΠΎΡΠ΅ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½Ρ Π²ΠΎΠΏΡΠΎΡΡ, ΡΠ²ΡΠ·Π°Π½Π½ΡΠ΅ c ΡΠΎΠ·Π΄Π°Π½ΠΈΠ΅ΠΌ ΠΈ ΠΈΡΠΏΡΡΠ°Π½ΠΈΠ΅ΠΌ Π½ΠΎΠ²ΠΎΠΉ Π°Π»ΡΡΠ΅ΡΠ½Π°ΡΠΈΠ²Π½ΠΎΠΉ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠ΅ΡΠΈ Π΄Π»Ρ ΠΎΠ±ΠΆΠΈΠ³Π° Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΎΠ². Π¦Π΅Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ: ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΎΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΎΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Π΅ΠΉ ΠΎΠΏΡΡΠ½ΠΎΠ³ΠΎ ΠΎΠ±ΡΠ°Π·ΡΠ° ΠΏΠ΅ΡΠΈ Ρ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΏΠΎΠ΄ΠΎΠ²ΠΎΠΉ ΠΏΠ»Π°ΡΡΠΎΡΠΌΠΎΠΉ ΠΏΡΠΈ Π΅Π³ΠΎ ΠΈΡΠΏΡΡΠ°Π½ΠΈΡΡ
. ΠΠ΅ΡΠΎΠ΄Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ: Π°Π½Π°Π»ΠΈΠ· ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΎΠ² ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ Π² ΠΎΠ±Π»Π°ΡΡΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, ΡΠΈΠ½ΡΠ΅Π· ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ, ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅, ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΈ ΡΡΠ½ΠΊΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠ΅ ΠΎΠΏΠΈΡΠ°Π½ΠΈΠ΅, ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π° Π°Π»ΡΡΠ΅ΡΠ½Π°ΡΠΈΠ²Π½Π°Ρ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄ΡΠ»ΡΠ½ΠΎ-ΡΠΏΡΡΠΊΠΎΠ²Π°Ρ ΠΏΠ΅ΡΡ Π΄Π»Ρ ΠΎΠ±ΠΆΠΈΠ³Π° Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΎΠ² Ρ ΠΏΡΠΈΠ½ΡΠΈΠΏΠΈΠ°Π»ΡΠ½ΠΎ Π½ΠΎΠ²ΠΎΠΉ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠΎΠΉ - ΠΏΠ΅ΡΡ Ρ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΏΠΎΠ΄ΠΎΠ²ΠΎΠΉ ΠΏΠ»Π°ΡΡΠΎΡΠΌΠΎΠΉ. Π‘ΠΎΠ·Π΄Π°Π½Π° ΠΏΠΎΠ»Π½ΠΎΠΌΠ°ΡΡΡΠ°Π±Π½Π°Ρ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΏΠ΅ΡΠ½ΠΎΠ³ΠΎ Π°Π³ΡΠ΅Π³Π°ΡΠ° - ΠΎΠ΄Π½ΠΎΡΠ°Π·Π½ΡΠΉ ΠΎΠ΄Π½ΠΎΠΌΠΎΠ΄ΡΠ»ΡΠ½ΡΠΉ Π±Π»ΠΎΠΊ, Π½Π° ΠΊΠΎΡΠΎΡΠΎΠΉ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΡ ΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Ρ ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π΄Π°Π½Π½ΡΠ΅. ΠΡΠΈ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ Π΄ΠΎΡΡΠΈΠ³Π½ΡΡΠ° ΠΏΠ»ΠΎΡΠ½ΠΎΡΡΡ Π²ΡΠΏΡΡΠ΅Π½Π½ΠΎΠ³ΠΎ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠ° 90β¦91 ΠΊΠ³/ΠΌ3ΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΡ 3,56 ΠΌ3/Ρ. ΠΠ½Π°ΡΠ΅Π½ΠΈΠ΅ ΡΠ΄Π΅Π»ΡΠ½ΠΎΠΉ ΡΠ½Π΅ΡΠ³ΠΎΠ΅ΠΌΠΊΠΎΡΡΠΈ ΠΎΠ±ΠΆΠΈΠ³Π° Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠ° ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
Π²ΠΈΠ΄ΠΎΠ² ΡΠΎΡΡΠ°Π²Π»ΡΠ΅Ρ 63,7β¦81,6 ΠΌΠΠΆ/ΠΌ3, ΡΡΠΎ ΠΏΠΎΡΡΠΈ Π²ΡΡΠΎΠ΅ ΠΌΠ΅Π½ΡΡΠ΅, ΡΠ΅ΠΌ Ρ ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠΈΡ
ΠΏΠ»Π°ΠΌΠ΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΉ, ΡΠ°Π±ΠΎΡΠ°ΡΡΠΈΡ
Π½Π° ΡΠ³Π»Π΅Π²ΠΎΠ΄ΠΎΡΠΎΠ΄Π½ΠΎΠΌ ΡΠΎΠΏΠ»ΠΈΠ²Π΅.Relevance. Vermiculite is one of the representatives of geo-resources that are widely used in various industries. The expanded vermiculite is obtained by heat treating of vermiculite ore concentrates in open flame furnaces. Expanded vermiculite, due to its layered-porous structure and high reflectivity, is the base for obtaining many thermo-insulating and refractory materials and products. Vermiculite is a part of building materials, and it is used to protect against radiation. Heat treating of vermiculite ores in flaming furnaces is an energyintensive process; therefore the designs of electric modular-trigger furnaces are being actively developed. These furnaces have not significantly reduced the specific energy intensity of the firing process, that is why the work on creation of electric furnaces is up-to-date. This research is aimed to develop and construct a furnace prototype of a fundamentally new design. The aim of the research is the experimental determination of operational specifications of a furnace model with a vibrating bottom platform which is a separate single-phase firing module during testing. Methods: analysis of information sources in the field of research, synthesis of constructive solutions, physical modeling, parametric and functional description, experimental studies. Results. The authors have developed the alternative electric furnace for firing vermiculite concentrates with a fundamentally new design structure which is a furnace with a vibrating bottom platform. A full-scale physical model of the furnace unit - a single-phase and single-module unit, was developed. Using the above-mentioned physical model the authors carried out the experiments and obtained the empirical data. During the experimental studies, the density of the expanded vermiculite was 90β¦91 kg/m3 and the productivity was 3,56 m3/h. The value of volume energy for various types of vermiculite roasting is 63,7β¦81,6 mJ/m3, which is almost three times less than that of existing open flame furnaces operating on hydrocarbon fuel
Testing a new alternative electric furnace for vermiculite concentrates heat treatment
ΠΠΊΡΡΠ°Π»ΡΠ½ΠΎΡΡΡ. ΠΠ΄Π½ΠΈΠΌ ΠΈΠ· ΠΏΡΠ΅Π΄ΡΡΠ°Π²ΠΈΡΠ΅Π»Π΅ΠΉ Π³Π΅ΠΎΡΠ΅ΡΡΡΡΠΎΠ², Π½Π°ΡΠ΅Π΄ΡΠΈΡ
ΡΠΈΡΠΎΠΊΠΎΠ΅ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π² ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΡΠ΅ΡΠ°Ρ
ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΡΡΠΈ, ΡΠ²Π»ΡΠ΅ΡΡΡ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡ. ΠΠΎΡΠ»Π΅ ΠΎΠ±ΠΆΠΈΠ³Π° ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΎΠ² ΠΎΠ±ΠΎΠ³Π°ΡΠ΅Π½Π½ΡΡ
Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΡΡΠ΄ Π² ΠΏΠ»Π°ΠΌΠ΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ°Ρ
ΠΏΠΎΠ»ΡΡΠ°ΡΡ Π²ΡΠΏΡΡΠ΅Π½Π½ΡΠΉ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡ. ΠΡΠΏΡΡΠ΅Π½Π½ΡΠΉ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡ, Π±Π»Π°Π³ΠΎΠ΄Π°ΡΡ ΡΠ²ΠΎΠ΅ΠΉ ΡΠ»ΠΎΠΈΡΡΠΎ-ΠΏΠΎΡΠΈΡΡΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠ΅ ΠΈ Π²ΡΡΠΎΠΊΠΎΠΉ ΠΎΡΡΠ°ΠΆΠ°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡΠΈ, ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΎΡΠ½ΠΎΠ²ΠΎΠΉ Π΄Π»Ρ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΡ ΠΌΠ½ΠΎΠ³ΠΈΡ
ΡΠ΅ΡΠΌΠΎΠΈΠ·ΠΎΠ»ΡΡΠΈΠΎΠ½Π½ΡΡ
ΠΈ ΠΎΠ³Π½Π΅ΡΠΏΠΎΡΠ½ΡΡ
ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ² ΠΈ ΠΈΠ·Π΄Π΅Π»ΠΈΠΉ, Π²Ρ
ΠΎΠ΄ΠΈΡ Π² ΡΠΎΡΡΠ°Π² ΡΡΡΠΎΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ², ΠΏΡΠΈΠΌΠ΅Π½ΡΠ΅ΡΡΡ Π΄Π»Ρ Π·Π°ΡΠΈΡΡ ΠΎΡ ΡΠ°Π΄ΠΈΠ°ΡΠΈΠΈ. ΠΠ±ΠΆΠΈΠ³ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΡΡΠ΄ Π² ΠΏΠ»Π°ΠΌΠ΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ°Ρ
ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ½Π΅ΡΠ³ΠΎΠ΅ΠΌΠΊΠΈΠΌ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠΌ, ΠΏΠΎΡΡΠΎΠΌΡ Π°ΠΊΡΠΈΠ²Π½ΠΎ ΡΠ°Π·ΡΠ°Π±Π°ΡΡΠ²Π°ΡΡΡΡ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΈ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠΎΠ΄ΡΠ»ΡΠ½ΠΎ-ΡΠΏΡΡΠΊΠΎΠ²ΡΡ
ΠΏΠ΅ΡΠ΅ΠΉ. ΠΠ°Π½Π½ΡΠ΅ ΠΏΠ΅ΡΠΈ ΡΠ½ΠΈΠ·ΠΈΠ»ΠΈ ΡΠ΄Π΅Π»ΡΠ½ΡΡ ΡΠ½Π΅ΡΠ³ΠΎΠ΅ΠΌΠΊΠΎΡΡΡ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΎΠ±ΠΆΠΈΠ³Π°, Π² ΡΠ²ΡΠ·ΠΈ Ρ ΡΡΠΈΠΌ ΡΠ°Π±ΠΎΡΡ ΠΏΠΎ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ΅ΡΠ΅ΠΉ Π°ΠΊΡΡΠ°Π»ΡΠ½Ρ. Π ΡΠ°Π±ΠΎΡΠ΅ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½Ρ Π²ΠΎΠΏΡΠΎΡΡ, ΡΠ²ΡΠ·Π°Π½Π½ΡΠ΅ c ΡΠΎΠ·Π΄Π°Π½ΠΈΠ΅ΠΌ ΠΈ ΠΈΡΠΏΡΡΠ°Π½ΠΈΠ΅ΠΌ Π½ΠΎΠ²ΠΎΠΉ Π°Π»ΡΡΠ΅ΡΠ½Π°ΡΠΈΠ²Π½ΠΎΠΉ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠ΅ΡΠΈ Π΄Π»Ρ ΠΎΠ±ΠΆΠΈΠ³Π° Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΎΠ². Π¦Π΅Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ: ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΎΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΎΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Π΅ΠΉ ΠΎΠΏΡΡΠ½ΠΎΠ³ΠΎ ΠΎΠ±ΡΠ°Π·ΡΠ° ΠΏΠ΅ΡΠΈ Ρ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΏΠΎΠ΄ΠΎΠ²ΠΎΠΉ ΠΏΠ»Π°ΡΡΠΎΡΠΌΠΎΠΉ ΠΏΡΠΈ Π΅Π³ΠΎ ΠΈΡΠΏΡΡΠ°Π½ΠΈΡΡ
. ΠΠ΅ΡΠΎΠ΄Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ: Π°Π½Π°Π»ΠΈΠ· ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΎΠ² ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ Π² ΠΎΠ±Π»Π°ΡΡΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, ΡΠΈΠ½ΡΠ΅Π· ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ, ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅, ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΈ ΡΡΠ½ΠΊΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠ΅ ΠΎΠΏΠΈΡΠ°Π½ΠΈΠ΅, ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π° Π°Π»ΡΡΠ΅ΡΠ½Π°ΡΠΈΠ²Π½Π°Ρ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄ΡΠ»ΡΠ½ΠΎ-ΡΠΏΡΡΠΊΠΎΠ²Π°Ρ ΠΏΠ΅ΡΡ Π΄Π»Ρ ΠΎΠ±ΠΆΠΈΠ³Π° Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠΎΠ²ΡΡ
ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΎΠ² Ρ ΠΏΡΠΈΠ½ΡΠΈΠΏΠΈΠ°Π»ΡΠ½ΠΎ Π½ΠΎΠ²ΠΎΠΉ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠΎΠΉ - ΠΏΠ΅ΡΡ Ρ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΏΠΎΠ΄ΠΎΠ²ΠΎΠΉ ΠΏΠ»Π°ΡΡΠΎΡΠΌΠΎΠΉ. Π‘ΠΎΠ·Π΄Π°Π½Π° ΠΏΠΎΠ»Π½ΠΎΠΌΠ°ΡΡΡΠ°Π±Π½Π°Ρ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΏΠ΅ΡΠ½ΠΎΠ³ΠΎ Π°Π³ΡΠ΅Π³Π°ΡΠ° - ΠΎΠ΄Π½ΠΎΡΠ°Π·Π½ΡΠΉ ΠΎΠ΄Π½ΠΎΠΌΠΎΠ΄ΡΠ»ΡΠ½ΡΠΉ Π±Π»ΠΎΠΊ, Π½Π° ΠΊΠΎΡΠΎΡΠΎΠΉ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΡ ΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Ρ ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π΄Π°Π½Π½ΡΠ΅. ΠΡΠΈ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ Π΄ΠΎΡΡΠΈΠ³Π½ΡΡΠ° ΠΏΠ»ΠΎΡΠ½ΠΎΡΡΡ Π²ΡΠΏΡΡΠ΅Π½Π½ΠΎΠ³ΠΎ Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠ° 90β¦91 ΠΊΠ³/ΠΌ3ΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΡ 3,56 ΠΌ3/Ρ. ΠΠ½Π°ΡΠ΅Π½ΠΈΠ΅ ΡΠ΄Π΅Π»ΡΠ½ΠΎΠΉ ΡΠ½Π΅ΡΠ³ΠΎΠ΅ΠΌΠΊΠΎΡΡΠΈ ΠΎΠ±ΠΆΠΈΠ³Π° Π²Π΅ΡΠΌΠΈΠΊΡΠ»ΠΈΡΠ° ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
Π²ΠΈΠ΄ΠΎΠ² ΡΠΎΡΡΠ°Π²Π»ΡΠ΅Ρ 63,7β¦81,6 ΠΌΠΠΆ/ΠΌ3, ΡΡΠΎ ΠΏΠΎΡΡΠΈ Π²ΡΡΠΎΠ΅ ΠΌΠ΅Π½ΡΡΠ΅, ΡΠ΅ΠΌ Ρ ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠΈΡ
ΠΏΠ»Π°ΠΌΠ΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΉ, ΡΠ°Π±ΠΎΡΠ°ΡΡΠΈΡ
Π½Π° ΡΠ³Π»Π΅Π²ΠΎΠ΄ΠΎΡΠΎΠ΄Π½ΠΎΠΌ ΡΠΎΠΏΠ»ΠΈΠ²Π΅.Relevance. Vermiculite is one of the representatives of geo-resources that are widely used in various industries. The expanded vermiculite is obtained by heat treating of vermiculite ore concentrates in open flame furnaces. Expanded vermiculite, due to its layered-porous structure and high reflectivity, is the base for obtaining many thermo-insulating and refractory materials and products. Vermiculite is a part of building materials, and it is used to protect against radiation. Heat treating of vermiculite ores in flaming furnaces is an energyintensive process; therefore the designs of electric modular-trigger furnaces are being actively developed. These furnaces have not significantly reduced the specific energy intensity of the firing process, that is why the work on creation of electric furnaces is up-to-date. This research is aimed to develop and construct a furnace prototype of a fundamentally new design. The aim of the research is the experimental determination of operational specifications of a furnace model with a vibrating bottom platform which is a separate single-phase firing module during testing. Methods: analysis of information sources in the field of research, synthesis of constructive solutions, physical modeling, parametric and functional description, experimental studies. Results. The authors have developed the alternative electric furnace for firing vermiculite concentrates with a fundamentally new design structure which is a furnace with a vibrating bottom platform. A full-scale physical model of the furnace unit - a single-phase and single-module unit, was developed. Using the above-mentioned physical model the authors carried out the experiments and obtained the empirical data. During the experimental studies, the density of the expanded vermiculite was 90β¦91 kg/m3 and the productivity was 3,56 m3/h. The value of volume energy for various types of vermiculite roasting is 63,7β¦81,6 mJ/m3, which is almost three times less than that of existing open flame furnaces operating on hydrocarbon fuel