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Разработка методик исследования металлоорганических каркасов методом КРС
(Сибирский федеральный университет, 2023)
и обратная ей даны как:
Ф𝑥𝑦𝑧
cos 𝛼 cos 𝛾 − cos 𝛽 sin 𝛼 sin 𝛾
= (cos 𝛽 cos 𝛾 sin 𝛼 + cos 𝛼 sin 𝛾
sin 𝛼 sin 𝛽
− cos 𝛾 sin 𝛼 − cos 𝛼 cos 𝛽 sin 𝛾
cos 𝛼 cos 𝛽 cos 𝛾 − sin 𝛼 sin 𝛾
cos 𝛼 sin 𝛽
cos 𝛼 cos 𝛾 − cos 𝛽 sin 𝛼 sin...
𝛾 ̃ Ф𝑥𝑦𝑧 = (− cos 𝛾 sin 𝛼 − cos 𝛼 cos 𝛽 sin 𝛾 sin 𝛽 sin 𝛾 где cos 𝛼 sin 𝛾 + cos 𝛽 cos 𝛾 sin 𝛼 cos 𝛼 cos 𝛽 cos 𝛾 − sin 𝛼 sin 𝛾 − cos 𝛾 sin 𝛽 sin 𝛽 sin 𝛾 − cos 𝛾 sin 𝛽 ), cos 𝛽 sin 𝛼 sin 𝛽 cos 𝛼 sin 𝛽 ), cos 𝛽 (4...
𝛾 ̃ Ф𝑥𝑦𝑧 = (− cos 𝛾 sin 𝛼 − cos 𝛼 cos 𝛽 sin 𝛾 sin 𝛽 sin 𝛾 где cos 𝛼 sin 𝛾 + cos 𝛽 cos 𝛾 sin 𝛼 cos 𝛼 cos 𝛽 cos 𝛾 − sin 𝛼 sin 𝛾 − cos 𝛾 sin 𝛽 sin 𝛽 sin 𝛾 − cos 𝛾 sin 𝛽 ), cos 𝛽 sin 𝛼 sin 𝛽 cos 𝛼 sin 𝛽 ), cos 𝛽 (4...
Случайные гауссовы волны в изотропной упругой среде
(Сибирский федеральный университет. Siberian Federal University., 2010-06)
-Cauchy equation
µ∇2u+ (λ+µ)∇(∇u) +ρΩ2u = 0 (2)
where u(x,y) is the displacement field in the plate, λ,µ are the material dependent Lam´e coeffi-
cients, andρis the density. Introducing elastic potentialsψ and A with the help of the Helmholtz
decomposition...
is Poisson’s ratio [10]. E andσ are functions of the Lam´e coefficients [10]. Our conjecture is that both elastic potential are statistically independent Gaussian random waves (1). We write the potentials in the following form ψ(x) = 1ik l radicalbiggγ N...
is Poisson’s ratio [10]. E andσ are functions of the Lam´e coefficients [10]. Our conjecture is that both elastic potential are statistically independent Gaussian random waves (1). We write the potentials in the following form ψ(x) = 1ik l radicalbiggγ N...
Study of a Deformation Localization Direction in Slow Motion of a Granular Medium
(Сибирский федеральный университет. Siberian Federal University, 2022-10)
. Direction of a narrow linear localization zone
√
√
where ν = 1/κ2 − 4/3, 0 < κ < 3/2.
By (4) the safety factor is m1 :
m1 =
1
2τs 1
,
κρga sin α (ν sin α − cos α)
(6)
here τs is the yield point.
In paper [3] we obtained that deformation for a simple shear...
with dilatancy is localized in a narrow linear zone of thickness h inclined at an angle φ: φ = α − arcsin √ 1 ν2 +1 or 1 φ = α − arctg . ν (7) ν sin α − cos α √ . ν2 + 1 (8) In this case for the angle φ we compute sin φ = ν sin α − cos α √ , ν2 + 1 cos...
with dilatancy is localized in a narrow linear zone of thickness h inclined at an angle φ: φ = α − arcsin √ 1 ν2 +1 or 1 φ = α − arctg . ν (7) ν sin α − cos α √ . ν2 + 1 (8) In this case for the angle φ we compute sin φ = ν sin α − cos α √ , ν2 + 1 cos...
LIQUIDS MIXING OPTIMIZATION IN MICROCHANNELS
(Сибирский федеральный университет, 2011)
difference between the top inlet and the outlet equals ∆P = 5,149 Pа.
At active mixing on the left inlet averageconsumption speed of a liquid was set con-
stant and equal to 1 mm/s. Averageconsumption speed on the top inlet was set as follows:
V=1mm/s+A×sin...
) b) Amount of sec- tions Pressure difference in the curved chan- nel, Pa Mixing in the curved channel, % Pressure difference in the direct chan- nel, Pa Mixing in the direct channel, % Mixing in the di- rect channel (ana- lytics ), Pа 1...
) b) Amount of sec- tions Pressure difference in the curved chan- nel, Pa Mixing in the curved channel, % Pressure difference in the direct chan- nel, Pa Mixing in the direct channel, % Mixing in the di- rect channel (ana- lytics ), Pа 1...
Optical defect mode with tunable Q factor in a one-dimensional anisotropic photonic crystal
(2018-01)
. For the extraordinary x-polarized waves we have
a piecewise continuus solution. By using the transfer
matrix approach the dispersion relation for the extraor-
dinary waves is found as26,27
cos kBΛ = cos ked cos k0(Λ− d)−
1
2
(
ne
no
+
no
ne
)
sin ked sin k0(Λ− d),
where...
be written as ǫˆ = [ ǫe cos 2 φ+ ǫo sin 2 φ sin 2φ (ǫe − ǫo)/2 sin 2φ (ǫe − ǫo)/2 ǫe sin2 φ+ ǫo cos2 φ ] , (3) where the tilt angle φ is the polar angle in the x0y-plane. For brevity here and later on we omit the z-components the electromagnetic (EM) field...
be written as ǫˆ = [ ǫe cos 2 φ+ ǫo sin 2 φ sin 2φ (ǫe − ǫo)/2 sin 2φ (ǫe − ǫo)/2 ǫe sin2 φ+ ǫo cos2 φ ] , (3) where the tilt angle φ is the polar angle in the x0y-plane. For brevity here and later on we omit the z-components the electromagnetic (EM) field...
Сравнение методов построения классификации геномов по частотам триплетов и на основе выравнивания на примере геномов семейства Coronaviridae
(Сибирский федеральный университет, 2021)
ɯɨɡɹɢɧɨɦ ɞɚɧɧɨɝɨ ɜɢɪɭɫɚ. ȼ ɷɬɨɬ ɫɩɢɫɨɤ ɩɨɩɚɥɢ ɡɦɟɢ (Ji et al., 2020), ɹɳɟɪɵ
(Lam et al., 2020) ɢ ɧɨɪɤɢ (Cheng et.al., 2020), ɨɞɧɚɤɨ ɩɪɨɦɟɠɭɬɨɱɧɵɯ ɯɨɡɹɟɜ
ɦɨɠɟɬ ɛɵɬɶ ɢ ɧɟɫɤɨɥɶɤɨ. Ɍɚɤɢɦ ɨɛɪɚɡɨɦ, ɢɞɟɧɬɢɮɢɤɚɰɢɹ ɢɫɬɨɱɧɢɤɚ ɜɢɪɭɫɚ
ɩɨɦɨɠɟɬ ɤɨɧɬɪɨɥɢɪɨɜɚɬɶ ɟɝɨ...
ɫɨɛɨɣ ɪɟɡɭɥɶɬɚɬ ɫɥɭɱɚɣɧɨɣ ɷɜɨɥɸɰɢɢ (Tang et al., 2020; Lam et al., 2020). ȼ ɰɟɥɨɦ, ɟɳɟ ɩɪɟɞɫɬɨɢɬ ɪɟɲɢɬɶ, ɩɨɧɚɞɨɛɢɥɫɹ ɥɢ SARS-CoV-2 ɩɪɨɦɟɠɭɬɨɱɧɵɣ ɯɨɡɹɢɧ, 20 ɩɪɟɠɞɟ ɱɟɦ ɨɧ ɫɦɨɝ ɡɚɪɚɡɢɬɶ ɥɸɞɟɣ, ɤɚɤ ɷɬɨ ɛɵɥɨ ɜ ɫɥɭɱɚɟ SARS-CoV ɢ ɞɪɭɝɢɯ HCoV. 1...
ɫɨɛɨɣ ɪɟɡɭɥɶɬɚɬ ɫɥɭɱɚɣɧɨɣ ɷɜɨɥɸɰɢɢ (Tang et al., 2020; Lam et al., 2020). ȼ ɰɟɥɨɦ, ɟɳɟ ɩɪɟɞɫɬɨɢɬ ɪɟɲɢɬɶ, ɩɨɧɚɞɨɛɢɥɫɹ ɥɢ SARS-CoV-2 ɩɪɨɦɟɠɭɬɨɱɧɵɣ ɯɨɡɹɢɧ, 20 ɩɪɟɠɞɟ ɱɟɦ ɨɧ ɫɦɨɝ ɡɚɪɚɡɢɬɶ ɥɸɞɟɣ, ɤɚɤ ɷɬɨ ɛɵɥɨ ɜ ɫɥɭɱɚɟ SARS-CoV ɢ ɞɪɭɝɢɯ HCoV. 1...
Исследования по гидрометаллургической переработке золотосодержащего концентрата месторождения «Джамгыр»
(Сибирский федеральный университет. Siberian Federal University, 2021-03)
Проведены лабораторные исследования по переработке золотосодержащего концентрата месторождения «Джамгыр» с помощью реагента JIN CHAN (Цзинь Чань). Изучено влияние концентрации JIN CHAN, продолжительность выщелачивания, температура раствора. В...
Laboratory studies have been carried out on the processing of gold-bearing concentrate from the “Jamgyr” deposit using the JIN CHAN reagent. The influence of the concentration JIN CHAN, the duration of leaching, the temperature of the solution were...
Laboratory studies have been carried out on the processing of gold-bearing concentrate from the “Jamgyr” deposit using the JIN CHAN reagent. The influence of the concentration JIN CHAN, the duration of leaching, the temperature of the solution were...
The ground state of the Frenkel–Kontorova model
(2016-09)
-invariant
symmetry in the solution for the ground state [11],
1
2
1 0
0
1 ( ) cos2
2
cos 2 ,
K
i i i
i K
K
U x x V x
V x
−
+
=−
⎡ ⎤
= − − β − π
⎢ ⎥⎣ ⎦
− π
∑
+ −
−
= − = = = +
= − + π π < <
β = − + π π
0 1 0
1 1 0
1 0
( 2 ), 0( 2 1);
2 2 sin 2 , 0 ;
2 sin 2 .
i i i i...
.5]. In the interval [0.456, 0.5], a structure with two sublattices = 0.18138 (N is even), [xK] = K/2, is realized and, in the interval [0.43, 0.456], a sin- gle-dislocation structure with the sublattices = 0.19102, [xK] = K/2 – 1. Thus, for even K (N...
.5]. In the interval [0.456, 0.5], a structure with two sublattices = 0.18138 (N is even), [xK] = K/2, is realized and, in the interval [0.43, 0.456], a sin- gle-dislocation structure with the sublattices = 0.19102, [xK] = K/2 – 1. Thus, for even K (N...
Bound states in the continuum and Fano resonances in the Dirac cone spectrum
(2019-08)
whether the presence of the radiation losses
breaks that symmetry. Let us specify the propagation direction
specified by arbitrarily azimuthal angle ϕ such that kx �
k∥ cos�ϕ� and ky � k∥ sin�ϕ� with k∥ �
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
k2x...
into account that px → py and py → −px under rotation by ϕ � π, we can write W TE � h ffiffiffiffi γp p cos�ϕ�, ffiffiffiffiγpp sin�ϕ�, ffiffiffiffiγsp i , (5) W TM � h − ffiffiffiffi γp p sin�ϕ�, ffiffiffiffiγpp cos�ϕ�, 0 i : (6) Next, one can easily check...
into account that px → py and py → −px under rotation by ϕ � π, we can write W TE � h ffiffiffiffi γp p cos�ϕ�, ffiffiffiffiγpp sin�ϕ�, ffiffiffiffiγsp i , (5) W TM � h − ffiffiffiffi γp p sin�ϕ�, ffiffiffiffiγpp cos�ϕ�, 0 i : (6) Next, one can easily check...
Geometric phase and o-mode blueshift in a chiral anisotropic medium inside a Fabry-Pérot cavity
(2015-11)
, (4)
where NS = ϕ/dϕ is the number of sublayers. Substitu-
tion of Eqs. (2) and (3) gives:
dJˆ =
[
Ja Jb
−J∗b J∗a
]
, (5)
where
Ja = cos (dϕ) cos (dδ)− i sin (dδ),
Jb = sin (dϕ) cos (dδ).
Eigenvectors ~eJ of the matrix dJˆ describe polarization...
anisotropy angle defined as the following: cos (dυ) ≡ cos (dϕ) cos (dδ) . (7) The solution of Eq. (6) can then be written as g∓J = cos (dυ)∓ i sin (dυ) = exp (∓idυ) . The eigenvectors take the forms: ~eJ − = ~ete = [ cosϑ −i sinϑ ] , ~eJ + = ~eto = [ −i sinϑ...
anisotropy angle defined as the following: cos (dυ) ≡ cos (dϕ) cos (dδ) . (7) The solution of Eq. (6) can then be written as g∓J = cos (dυ)∓ i sin (dυ) = exp (∓idυ) . The eigenvectors take the forms: ~eJ − = ~ete = [ cosϑ −i sinϑ ] , ~eJ + = ~eto = [ −i sinϑ...