CC BY
34
Международный научный журнал «Инновационная наука»
UDC 537
ФИЗИКО- МАТЕМАТИЧЕСКИЕ НАУКИ
B. I. Urusova
d. f. - m. n., professor
S. Yu. Djatdoeva
graduate
Physico - mathematical faculty Karachay - Cherkessia state University named U. D. Aliyeva
Karachaevsk, Russia
SOME MAGNETIC PROPERTIES OF THE ORE MINING
Abstract:
for the first time experimentally исследоваш magnetic properties of mining ores -(gabbro) and the calculated saturation magnetization Is remanence-I0, demagnetizing factor N, the coercive force ,Hc , and magnetic susceptibility is %.
Keywords:
magnetic field, mining ore, magnetic hysteresis, saturation magnetization, residual magnetization, coercive force, gabbro, magnetic susceptibility.
The aim of this work is the first to experimentally investigate the magnetic properties of mining ores (gabbro): 1) the saturation magnetization - 1$ , 2) residual magnetization - /0 , 3) the coercive force #0 , 4) demagnetizing factor N, in magnetic fields up to H=6 kE at room temperature
As mining ore contains small ferromagnetic particles, so they are magnetic, which are typical for ferromagnets. In this regard, we can identify the following factors: (a) the small size of the ferromagnetic grains of native residual magnetization in contrast to the usually considered ferromagnetism massive samples; b) the irregularity of the shapes of the particles and their inhomogeneous scattering by the sample, which leads to the necessity of taking into account the magnetostatic interaction between the particles; b) the smallness of the external magnetizing field, in comparison with the internal fields of the sample - field effective anisotropy and coercivity.
Along with this should be considered as "non-magnetic" external influences that affect the acquisition of natural magnetization.
At present the magnetic properties of mining ores in weak fields (of the order of the earth's field) has been studied thoroughly, and above the earth's field is almost there.
It is known that the magnetization of mining ores I consists of natural residual magnetization /0and induced /jcaused by the action of the geomagnetic field that is of interest for magnetic exploration and study of regional magnetic anomalies.
Mining ore (gabbro) were taken from the left Bank of the R. Maruchi, Zelenchuk region, Karachai - Circassian Republic, the number of drilling wells 7/1022 and age uPR-PZ1.
The measurement of the magnetization of mining ores (gabbro) conducted potentiometric method [1], in magnetic fields up to H=6 kE at room temperature.
Figure 1 shows the experimental curves of magnetic hysteresis mining ores (gabbro), which shows that the saturation magnetization is Is is achieved in fields H= 5 kE, the residual magnetization /0is proportional to the coercive force Нс~+0,8 kE. Moreover, the coercive force N sne depends on the demagnetizing factor N, since the corresponding magnetization is equal to zero (see Fig.1) 3
3
№ 1 - 2/ 2015
Important role in the characterization of hysteresis mining ores (gabbro) plays demagnetizing factor N.
Fig.1 magnetic hysteresis Curves of mining ores (gabbro) in magnetic fields up to H=6 kE at room temperature
Apparently, this is because the demagnetizing factor N is very large. Therefore the residual magnetization /0 can reach values ^, while the relation is valid:
/0
is
He
NIS
(1)
Io
In Fig.2 shows the dependence — from the coercive force Hc for mining ores (gabbro).
is
Using (1), calculated demagnetizing factor N=2.
Knowing that magnetic susceptibility is equal to:
(2)
X H
i
н
io
Fig. 2 Dependence —from the coercive forceHcfor mining ores (gabbro) is
On magnetization curves calculated magnetic susceptibility. The results are presented in Fig. 3. Where it is seen that the magnetic susceptibility of mining ores (gabbro) increases with increasing magnetic field, and its value lies in the interval, and its value x lies in the range from 0,6 to 0,8 • 103 CGSM/cm3
3
x-io
1
0
4
Международный научный журнал «Инновационная наука»
Fig.3. Magnetic susceptibility mining ores (gabbro) in weak magnetic fields.
This suggests that the magnetic susceptibility of mining ores (gabbro) in magnetic fields depends on the number and sizes of the ferromagnetic grains.
Thus, for the first time experimentally investigated the magnetic properties of mining ores (gabbro) in magnetic fields up to 6 kE room temperature and obtained:
• the saturation magnetization Is is achieved in magnetic fields H= 5 kE;
• remanence - A proportional to the coercive force - Hc = +0,8 kE;
• demagnetizing factor N=2;
• magnetic susceptibility lies in the interval from 0,6 to 0,8- 103 CGSM/cm3;
• magnetic susceptibility in weak magnetic fields depends on the number and sizes of the ferromagnetic grains.
The list of used literature
1. O. S. Galkin, B. I. Urusov, V. F.. "Magnetic properties of alloys But - Pr, FMM, No. 56, vol.2, 1983.With.-398-401.
© 2015 , B. I. Urusova, C. Y. Of Djatdoeva
УДК 539.3
А.Д. Азаров
Зав. лаб., к.ф-м.н., Г.А. Журавлев
В.н.с., доцент, к.т.н.,
А.С. Пискунов,
Студент-магистр
Институт математики, механики и компьютерных наук им. И.И.Воровича,
Южный федеральный университет, г. Ростов-на-Дону, Российская Федерация
СРАВНИТЕЛЬНЫЙ анализ аналитического И ЧИСЛЕННОГО МЕТОДОВ РЕШЕНИЯ ПЛОСКОЙ ЗАДАЧИ О КОНТАКТЕ УПРУГИХ ЦИЛИНДРОВ
Аннотация
Рассмотрена задача о контакте цилиндров с параллельными осями, имеющая несколько подходов к аналитическому решению на основе работ Н.И.Мусхелишвили. Для интенсивности касательных напряжений и шаровой части тензора напряжений выполнено сравнение этих подходов с решением, полученным методом конечных элементов. С целью анализа роли кривизны в формировании напряженно-деформированного состояния рассмотрены контактирующие тела с различной кривизной.
Ключевые слова:
контакт упругих цилиндров, напряженное состояние, деформирование, кривизна, метод
конечных элементов
5
