347 research outputs found
Astronomy Reports V. 46, I. 02
No full textAstronomy Reports -- February 2002
Volume 46, Issue 2, pp. 83-171
A Model for Interpenetrating Differential Streams and the Problem of Their Stability
V. A. Antonov and A. S. Baranov
pp. 83-95 Full Text: PDF (261 kB)
Thermal Emission of Methanol and Other Molecules at Millimeter Wavelengths
S. V. Kalenskii, V. I. Slysh, and I. E. Val'tts
pp. 96-109 Full Text: PDF (438 kB)
Interferometric Observations of 4C 21.53 and PSR 1937+214 at Decameter Wavelengths
A. V. Megn, S. Ya. Braude, S. L. Rashkovskii, N. K. Sharykin, V. A. Shepelev, G. A. Inyutin, R. V. Vashchishin, A. I. Brazhenko, and V. G. Bulatsen
pp. 110-118 Full Text: PDF (234 kB)
The Third Body in the Eclipsing System RR Lyn
Kh. F. Khaliullin and A. I. Khaliullina
pp. 119-126 Full Text: PDF (229 kB)
Parameters of UX CVn
V. V. Shimanskii
pp. 127-138 Full Text: PDF (246 kB)
Evolutionary Changes in the Optical Spectrum of the Peculiar Supergiant IRC+10420
V. G. Klochkova, M. V. Yushkin, E. L. Chentsov, and V. E. Panchuk
pp. 139-151 Full Text: PDF (355 kB)
Observed and Calculated Normal Color Indices and Indices in Three Photometric Systems
L. N. Knyazeva and A. V. Kharitonov
pp. 152-160 Full Text: PDF (166 kB)
Solar MHD Turbulence in Regions with Various Levels of Flare Activity
V. I. Abramenko
pp. 161-171 Full Text: PDF (379 kB)Archived web conten
Astronomy Reports V. 45, I. 02
No full textAstronomy Reports -- February 2001
Volume 45, Issue 2, pp. 79-161
Radio and Optical Spectra of Objects from Two Complete Samples of Radio Sources
V. Chavushyan, R. Mujica, A. G. Gorshkov, V. K. Konnikova, M. G. Mingaliev, and J. R. Valdéz
pp. 79-85 Full Text: PDF (102 kB)
The Structure of the Radio Galaxy 3C388 at Decameter Wavelengths
A. V. Megn, S. Ya. Braude, S. L. Rashkovskii, N. K. Sharykin, V. A. Shepelev, G. A. Inyutin, R. V. Vashchishin, A. I. Brazhenko, and V. G. Bulatsen
pp. 86-94 Full Text: PDF (124 kB)
The Fast Dynamo in Interstellar Turbulence
V. G. Lamburt and D. D. Sokoloff
pp. 95-99 Full Text: PDF (64 kB)
Revised Magnesium Abundances in Galactic Halo and Disk Stars
N. N. Shimanskaya and L. I. Mashonkina
pp. 100-112 Full Text: PDF (161 kB)
The Maser Source S140–H2O as a Protoplanetary Disk
E. E. Lekht and R. L. Sorochenko
pp. 113-119 Full Text: PDF (162 kB)
Wolf–Rayet Stars and Relativistic Objects: Distinctions between the Mass Distributions in Close Binary Systems
A. M. Cherepashchuk
pp. 120-137 Full Text: PDF (213 kB)
Synchrotron Spectra of Short-Period Pulsars
I. F. Malov
pp. 138-143 Full Text: PDF (75 kB)
Modeling the Spectral Energy Distributions of L Dwarfs
Ya. V. Pavlenko
pp. 144-156 Full Text: PDF (214 kB)
Acceleration of Charged Particles in Collapsing Magnetic Traps During Solar Flares
S. A. Bogachev and B. V. Somov
pp. 157-161 Full Text: PDF (57 kB)Archived web conten
Astronomy Reports V. 47, I. 12
No full textAstronomy Reports -- December 2003
Volume 47, Issue 12, pp. 975-1062
Topology of the Universe and Topological Inflation
D. D. Sokoloff
pp. 975-978 Full Text: PDF (123 kB)
The Formation of the First Objects During the Virialization of the Dark-Matter Halos
E. O. Vasiliev and Yu. A. Shchekinov
pp. 979-988 Full Text: PDF (279 kB)
Masses of Stellar Black Holes and Testing Theories of Gravitation
K. A. Postnov and A. M. Cherepashchuk
pp. 989-999 Full Text: PDF (230 kB)
Cepheids in LMC Clusters and the Period–Age Relation
Yu. N. Efremov
pp. 1000-1012 Full Text: PDF (368 kB)
Hydrodynamical Modeling of Mass Transfer in the Close Binary System beta Lyr
V. V. Nazarenko and L. V. Glazunova
pp. 1013-1026 Full Text: PDF (759 kB)
Two-Dimensional Hydrodynamical Modeling of Mass Transfer in Semidetached Binaries with Asynchronously Rotating Components
V. V. Nazarenko and L. V. Glazunova
pp. 1027-1037 Full Text: PDF (1124 kB)
Observational Studies of the Angular Structure of the Radio Galaxy 3C 234 at Decameter Wavelengths
A. V. Megn, S. Ya. Braude, S. L. Rashkovskiy, N. K. Sharykin, V. A. Shepelev, G. A. Inyutin, R. V. Vashchishin, A. I. Brazhenko, and V. G. Bulatsen
pp. 1038-1045 Full Text: PDF (248 kB)
Returning Positron Flux in the Polar-Cap Regions of a Radio Pulsar
D. P. Barsukov and A. I. Tsygan
pp. 1046-1053 Full Text: PDF (212 kB)
Cosmogenic Radiocarbon as a Means of Studying Solar Activity in the Past
G. E. Kocharov, M. G. Ogurtsov, and S. L. Tsereteli
pp. 1054-1062 Full Text: PDF (207 kB)Archived web conten
Astronomy Reports V. 47, I. 12
No full textleave(s) : ill; 28 cm.Astronomy Reports -- December 2003
Volume 47, Issue 12, pp. 975-1062
Topology of the Universe and Topological Inflation
D. D. Sokoloff
pp. 975-978 Full Text: PDF (123 kB)
The Formation of the First Objects During the Virialization of the Dark-Matter Halos
E. O. Vasiliev and Yu. A. Shchekinov
pp. 979-988 Full Text: PDF (279 kB)
Masses of Stellar Black Holes and Testing Theories of Gravitation
K. A. Postnov and A. M. Cherepashchuk
pp. 989-999 Full Text: PDF (230 kB)
Cepheids in LMC Clusters and the Period���Age Relation
Yu. N. Efremov
pp. 1000-1012 Full Text: PDF (368 kB)
Hydrodynamical Modeling of Mass Transfer in the Close Binary System beta Lyr
V. V. Nazarenko and L. V. Glazunova
pp. 1013-1026 Full Text: PDF (759 kB)
Two-Dimensional Hydrodynamical Modeling of Mass Transfer in Semidetached Binaries with Asynchronously Rotating Components
V. V. Nazarenko and L. V. Glazunova
pp. 1027-1037 Full Text: PDF (1124 kB)
Observational Studies of the Angular Structure of the Radio Galaxy 3C 234 at Decameter Wavelengths
A. V. Megn, S. Ya. Braude, S. L. Rashkovskiy, N. K. Sharykin, V. A. Shepelev, G. A. Inyutin, R. V. Vashchishin, A. I. Brazhenko, and V. G. Bulatsen
pp. 1038-1045 Full Text: PDF (248 kB)
Returning Positron Flux in the Polar-Cap Regions of a Radio Pulsar
D. P. Barsukov and A. I. Tsygan
pp. 1046-1053 Full Text: PDF (212 kB)
Cosmogenic Radiocarbon as a Means of Studying Solar Activity in the Past
G. E. Kocharov, M. G. Ogurtsov, and S. L. Tsereteli
pp. 1054-1062 Full Text: PDF (207 kB)The content contained herein is maintained and curated by the Preservation Department.This record is revised and maintained by the content administrators from the Cataloging & Metadata Department
Low-frequency linear vibrations of single-walled carbon nanotubes: Analytical and numerical models
Get PDFLow-frequency vibrations of single-walled carbon nanotubes with various boundary conditions are considered in the framework of the Sanders–Koiter thin shell theory. Two methods of analysis are proposed. The first approach is based on the Rayleigh–Ritz method, a double series expansion in terms of Chebyshev polynomials and harmonic functions is considered for the displacement fields; free and clamped edges are analysed. This approach is partially numerical. The second approach is based on the same thin shell theory, but the goal is to obtain an analytical solution useful for future developments in nonlinear fields; the Sanders–Koiter equations are strongly simplified neglecting in-plane circumferential normal strains and tangential shear strains. The model is fully validated by means of comparisons with experiments, molecular dynamics data and finite element analyses obtained from the literature. Several types of nanotubes are considered in detail by varying aspect ratio, chirality and boundary conditions. The analyses are carried out for a wide range of frequency spectrum. The strength and weakness of the proposed approaches are shown; in particular, the model shows great accuracy even though it requires minimal computational effort
Physics of the Solid State V. 44, I. 11
No full textPhysics of the Solid State -- November 2002
Volume 44, Issue 11, pp. 2013-2209
REVIEWS
Intracenter Transitions of Iron-Group Ions in II–VI Semiconductor Matrices
V. F. Agekyan
pp. 2013-2030 Full Text: PDF (192 kB)
METALS AND SUPERCONDUCTORS
Microwave Field Effects in HTSC Single Crystals of Bi(2212)
A. V. Prikhod'ko and N. M. Shibanova
pp. 2031-2033 Full Text: PDF (37 kB)
SEMICONDUCTORS AND DIELECTRICS
On the Model of Divacancies in Germanium
N. D. Dolidze and B. E. Tsekvava
pp. 2034-2038 Full Text: PDF (83 kB)
Giant Dielectric Relaxation in SrTiO3–SrMg1/3Nb2/3O3 and SrTiO3–SrSc1/2Ta1/2O3 Solid Solutions
V. V. Lemanov, A. V. Sotnikov, E. P. Smirnova, and M. Weihnacht
pp. 2039-2049 Full Text: PDF (157 kB)
Jahn–Teller Chromium Ions in CdF2 and CaF2 Crystals: An EPR Spectroscopic Study in the Frequency Range 9.3–300 GHz
M. M. Zaripov, V. F. Tarasov, V. A. Ulanov, and G. S. Shakurov
pp. 2050-2054 Full Text: PDF (92 kB)
Frequency Dependences of Dielectric Properties of Metal–Insulator Composites
V. V. Novikov and K. W. Wojciechowski
pp. 2055-2062 Full Text: PDF (183 kB)
DEFECTS, DISLOCATIONS, AND PHYSICS OF STRENGTH
Specific Features of the Formation of Oxygen Defects in the SrFeO2.5 Ferrate with a Brownmillerite Structure
V. M. Zainullina, I. A. Leonidov, and V. L. Kozhevnikov
pp. 2063-2066 Full Text: PDF (56 kB)
Relaxation Kinetics of Primary Pairs of Radiation Defects in Ionic Crystals
V. M. Lisitsyn and A. N. Yakovlev
pp. 2067-2071 Full Text: PDF (67 kB)
Kinetic Mechanism of the Formation of Fragmented Dislocation Structures upon Large Plastic Deformations
G. A. Malygin
pp. 2072-2079 Full Text: PDF (96 kB)
An Invariant Form of the Dynamic Criterion for Yield of Metals
A. A. Gruzdkov, Yu. V. Petrov, and V. I. Smirnov
pp. 2080-2082 Full Text: PDF (40 kB)
On the Possible Effect of a Magnetic Field on the Breaking of Mechanically Loaded Covalent Chemical Bonds
V. A. Zakrevskii, V. A. Pakhotin, and A. V. Shul'diner
pp. 2083-2086 Full Text: PDF (54 kB)
MAGNETISM AND FERROELECTRICITY
Effect of Irradiation with Ne+ Ions on the Transformations of Domain Structures of a Uniaxial Magnetic Film in an AC Magnetic Field
I. A. Melnichuk and E. L. Malanushenko
pp. 2087-2090 Full Text: PDF (48 kB)
Magnetic Properties of the HoMn2Ge2 Intermetallic Compound
Guo Guanghua, M. V. Eremin, N. P. Kolmakova, A. S. Lagutin, and R. Z. Levitin
pp. 2091-2094 Full Text: PDF (57 kB)
Tunneling Thermopower in Magnetic Granular Alloys
A. Granovskii, H. Sato, Y. Aoki, and A. Yurasov
pp. 2095-2097 Full Text: PDF (43 kB)
Unidirectional Anisotropy in a Ferromagnet–Antiferromagnet System
A. I. Morosov and A. S. Sigov
pp. 2098-2103 Full Text: PDF (70 kB)
Magnetic Susceptibility of the V15 Nanocluster in Megagauss Magnetic Fields
V. V. Platonov, O. M. Tatsenko, V. I. Plis, A. I. Popov, A. K. Zvezdin, and B. Barbara
pp. 2104-2106 Full Text: PDF (44 kB)
Faraday Effect in Tb3Ga5O12 in a Rapidly Increasing Ultrastrong Magnetic Field
R. Z. Levitin, A. K. Zvezdin, M. von Ortenberg, V. V. Platonov, V. I. Plis, A. I. Popov, N. Puhlmann, and O. M. Tatsenko
pp. 2107-2111 Full Text: PDF (63 kB)
High-Drive-Field Domain Wall Dynamics in Low-Damping Garnet Films
V. A. Bokov, V. V. Volkov, and N. L. Petrichenko
pp. 2112-2115 Full Text: PDF (49 kB)
Electromagnetic–Acoustic Transformation in an Erbium Single Crystal
V. D. Buchel'nikov, I. V. Bychkov, Yu. A. Nikishin, S. B. Palmer, C. M. Lim, and C. Edwards
pp. 2116-2123 Full Text: PDF (100 kB)
Width of the Ferromagnetic Resonance Line in an Anisotropic Magnet in Misoriented Resonance and Scanning Magnetic Fields
Yu. N. Shvachko, D. V. Starichenko, G. A. Shmatov, and Yu. V. Gobov
pp. 2124-2129 Full Text: PDF (99 kB)
Thermal Vibrations and the Structure of Quasi-Two-Dimensional R2CuO4 Crystals (R = La, Pr, Nd, Sm, Eu, and Gd)
E. I. Golovenchits, V. A. Sanina, A. A. Levin, Yu. F. Shepelev, and Yu. I. Smolin
pp. 2130-2144 Full Text: PDF (218 kB)
Kinetic Approach for Describing the Fatigue Effect in Ferroelectrics
V. Ya. Shur, E. L. Rumyantsev, E. V. Nikolaeva, E. I. Shishkin, and I. S. Baturin
pp. 2145-2150 Full Text: PDF (176 kB)
Kinetics of Domain Structure and Switching Currents in Single Crystals of Congruent and Stoichiometric Lithium Tantalate
V. Ya. Shur, E. V. Nikolaeva, E. I. Shishkin, V. L. Kozhevnikov, and A. P. Chernykh
pp. 2151-2156 Full Text: PDF (160 kB)
Dielectric Response of Ba0.75Sr0.25TiO3 Epitaxial Films to Electric Field and Temperature
Yu. A. Boikov, D. Erts, T. Claeson, and A. Yu. Boikov
pp. 2157-2164 Full Text: PDF (198 kB)
Anomalous States of the Crystal Structure of (Rb0.1(NH4)0.9)2SO4 Solid Solutions in the Temperature Range 4.2–300 K
I. M. Shmyt'ko, N. S. Afonikova, and V. I. Torgashev
pp. 2165-2170 Full Text: PDF (96 kB)
LATTICE DYNAMICS AND PHASE TRANSITIONS
Mechanism of Homogenization of the Martensite State of Crystals with a Shape Memory Effect
G. A. Malygin
pp. 2171-2174 Full Text: PDF (46 kB)
LOW-DIMENSIONAL SYSTEMS AND SURFACE PHYSICS
Perturbation Methods in the Kinetics of Nanocluster Growth
P. V. Gordon, S. A. Kukushkin, and A. V. Osipov
pp. 2175-2180 Full Text: PDF (71 kB)
A Manifestation of the Magnetopolaron Effect in Reflection and Absorption of Light by a Three-Level System in a Quantum Well
I. G. Lang, L. I. Korovin, D. A. Contreras-Solorio, and S. T. Pavlov
pp. 2181-2195 Full Text: PDF (196 kB)
Specific Features of Chemisorption on a Size-Quantized Film in an External Quantizing Magnetic Field
R. P. Meilanov, B. A. Abramova, M. M. Gadzhialiev, and V. V. Dzhabrailov
pp. 2196-2199 Full Text: PDF (57 kB)
FULLERENES AND ATOMIC CLUSTERS
Low-Frequency Dispersion of the Negative Dielectric Permittivity in C70 Films
V. V. Makarov and A. B. Sherman
pp. 2200-2203 Full Text: PDF (65 kB)
Absorption Line Spectrum of the C60Cl24 Halofullerene
B. S. Razbirin, A. N. Starukhin, A. V. Chugreev, A. S. Zgoda, V. P. Smirnov, Yu. S. Grushko, S. G. Kolesnik, P.-F. Coheur, J. Liévin, and R. Colin
pp. 2204-2209 Full Text: PDF (81 kB)Archived web conten
Physics of the Solid State V. 42, I. 01
No full textPhysics of the Solid State -- January 2000
Volume 42, Issue 1, pp. 1-198
METALS AND SUPERCONDUCTORS
Movement in an Axial Symmetric Wave Propagating in the Solid State Plasma in External Fields
E. D. Éidel'man
pp. 1-3 Full Text: PDF (47 kB)
Reflectivity Spectra of New Organic Metal (BEDO-TTF)5[CsHg(SCN)4]2
R. M. Vlasova, N. V. Drichko, V. N. Semkin, E. I. Zhilyaeva, O. A. Bogdanova, R. N. Lyubovskaya, and A. Graja
pp. 4-10 Full Text: PDF (102 kB)
Superconductivity in the Zr–D System under Pressure
I. O. Bashkin, M. V. Nefedova, and V. G. Tissen
pp. 11-14 Full Text: PDF (61 kB)
Nonlocal Josephson Electrodynamics of a Magnetic (Two- or Three-dimensional) Superconductive Thin Film
A. I. Lomtev
pp. 15-21 Full Text: PDF (81 kB)
SEMICONDUCTORS AND DIELECTRICS
Effect of Temperature and Uniform Compression on Local-Center Luminescence in TlGaS2 Layered Crystals
V. F. Agekyan
pp. 22-23 Full Text: PDF (32 kB)
Wannier–Mott Excitons in Narrow-Gap Semiconductor Heterostructures
A. P. Silin and S. V. Shubenkov
pp. 24-28 Full Text: PDF (60 kB)
To the Theory of Magnetic-Moment Anisotropy of Shallow Acceptor Centers in Diamond-like Semiconductors
A. V. Malyshev
pp. 29-36 Full Text: PDF (94 kB)
Electron Characteristic Loss Spectra of Molybdenum Dichalcogenides
A. N. Timoshkin, V. Val. Sobolev, and V. V. Sobolev
pp. 37-40 Full Text: PDF (57 kB)
Optical Phonon Spectra of PbF2 Single Crystals
A. V. Bazhenov, I. S. Smirnova, T. N. Fursova, M. Yu. Maksimuk, A. B. Kulakov, and I. K. Bdikin
pp. 41-50 Full Text: PDF (210 kB)
Hyperfine and Quadrupole Interactions of Trigonal157Gd3+ Centers in SrF2 and BaF2. Analysis of Distortions in the Nearest Atomic Environment
A. D. Gorlov and A. P. Potapov
pp. 51-54 Full Text: PDF (46 kB)
Acoustooptical and Elastic Properties of Laminated KY(MoO4)2 Crystals
L. A. Kulakova
pp. 55-58 Full Text: PDF (63 kB)
Molecular–Crystalline Approach to Evaluation of Correlation Corrections in the Theory of Chemical Bonding in Crystals: Electronic Structure of Ti2O3 Crystals
R. A. Évarestov and A. I. Panin
pp. 59-64 Full Text: PDF (63 kB)
Investigation of Amorphous States of SiO2 by Raman Scattering Spectroscopy
V. K. Malinovsky, V. N. Novikov, N. V. Surovtsev, and A. P. Shebanin
pp. 65-71 Full Text: PDF (153 kB)
DEFECTS, DISLOCATIONS AND PHYSICS OF STRENGTH
Acoustoplastic Effect and the Stress Superimposition Mechanism
G. A. Malygin
pp. 72-78 Full Text: PDF (84 kB)
MAGNETISM AND FERROELECTRICITY
Effect of Mn2+ Ions on the Magnetic Microstructure of Hexaferrites
Sh. Sh. Bashkirov, A. B. Liberman[dagger], A. A. Valiullin, L. D. Zaripova, and S. V. Kokin
pp. 79-83 Full Text: PDF (91 kB)
Magnetic Ordering and Magnetoresistive Effect in La 1–xSrx(Mn1–yMey)O3 Perovskites (Me = Nb, Mg)
I. O. Troyanchuk, D. A. Efimov, D. D. Khalyavin, N. V. Pushkarev, and R. Shimchak
pp. 84-88 Full Text: PDF (115 kB)
Local Magnetic Moments and Hyperfine Magnetic Fields in Fe–M (M = Si, Sn) Alloys at Small Metalloid Concentrations
A. K. Arzhnikov, L. V. Dobysheva, and F. Brauers
pp. 89-95 Full Text: PDF (84 kB)
Antiferromagnetic Resonance in CuB2O4 Single Crystal
A. I. Pankrats, G. A. Petrakovskii, and N. V. Volkov
pp. 96-102 Full Text: PDF (123 kB)
Thermodynamics of 3He Solid Monolayers in the Heisenberg Model
T. N. Antsygina and K. A. Chishko
pp. 103-111 Full Text: PDF (102 kB)
On the Thermal Expansion of Nanoparticles
V. I. Nikolaev and A. M. Shipilin
pp. 112-113 Full Text: PDF (52 kB)
Heat Capacity of La1–xSrxMnO3 Single Crystals in Different Magnetic States
M. N. Khlopkin, G. Kh. Panova, A. A. Shikov, V. F. Sinyavskii, and D. A. Shulyatev
pp. 114-119 Full Text: PDF (125 kB)
Features of Magnetization Reversal in Trilayer Nanostructures
K. A. Zvezdin
pp. 120-125 Full Text: PDF (979 kB)
Magnetic Ordering in Granular System
Yu. I. Gorobets, Yu. I. Dzhezherya, and A. F. Kravets
pp. 126-131 Full Text: PDF (73 kB)
"Nonmagnetic" (Antiferromagnetic) Magnetic Polaron
I. A. Merkulov
pp. 132-138 Full Text: PDF (89 kB)
Ferroelastoelectric Phenomena in a Uniaxial Ferroelectric TGS Crystal
E. F. Dudnik, V. M. Duda, and A. I. Kushnerev
pp. 139-141 Full Text: PDF (44 kB)
Effect of Electric Field on the Percolation Phase Transition in Lead Scandotantalate Single Crystals
L. S. Kamzina and N. N. Krainik
pp. 142-145 Full Text: PDF (52 kB)
The Dynamics of 180° Domains in a Ferroelectric in the Process of Polarization Reversal and Electron Emission
V. V. Kolesnikov, A. T. Kozakov, and A. V. Nikol'skii
pp. 146-152 Full Text: PDF (83 kB)
LATTICE DYNAMICS. PHASE TRANSITIONS
X-ray Diffraction Study of Ion Thermal Vibrations in R2CuO4 (R = Pr and Gd) Crystals
A. A. Levin, Yu. I. Smolin, Yu. F. Shepelev, E. I. Golovenchits, and V. A. Sanina
pp. 153-160 Full Text: PDF (155 kB)
Spontaneous Phase Transition from Relaxor to Macrodomain Ferroelectric State in Single-Crystal PbSc0.5Nb0.5O3– BaSc0.5Nb0.5O3 Solid Solutions
I. P. Raevski, V. V. Eremkin, V. G. Smotrakov, E. S. Gagarina, and M. A. Malitskaya
pp. 161-164 Full Text: PDF (57 kB)
Multicritical Behavior of Disordered Systems with Two Order Parameters
V. V. Prudnikov, P. V. Prudnikov, and A. A. Fedorenko
pp. 165-169 Full Text: PDF (60 kB)
Phase Transformations in Equiatomic Alloy TiZr at Pressure up to 70 kbar
I. O. Bashkin, A. Yu. Pagnuev, A. F. Gurov, V. K. Fedotov, G. E. Abrosimova, and E. G. Ponyatovskii
pp. 170-176 Full Text: PDF (89 kB)
On the Temperature Dependence of the Heterostructure Period near the Metal–Semiconductor Phase Transition in a Vanadium Dioxide Film
A. L. Semenov and E. N. Solodovnikova
pp. 177-178 Full Text: PDF (28 kB)
Phase Transition Kinetics in Loaded Solids
A. A. Vakulenko and S. A. Kukushkin
pp. 179-183 Full Text: PDF (55 kB)
Symmetry Analysis of the Possible Low-Temperature Phases in KDy(MoO4)2
N. M. Nesterenko
pp. 184-188 Full Text: PDF (57 kB)
LOW-DIMENSIONAL SYSTEMS. SURFACE PHYSICS
The Effect of Spatial Quantization of the Electronic Spectrum on the Exchange Interaction in Multilayers
Yu. P. Irkhin
pp. 189-192 Full Text: PDF (63 kB)
ATOMIC CLUSTERS. FULLERENES
Acoustic Study of the Melting and Solidification of Gallium Incorporated in an Opal Matrix
J. M. Dereppe, B. F. Borisov, E. V. Charnaya, A. V. Shelyapin, M. M. Nassar, and Yu. A. Kumzerov
pp. 193-196 Full Text: PDF (58 kB)
On a Change in the Energy Structure of the C60 Fullerene Molecular Orbitals Induced by Chemical Bonding
Yu. F. Biryulin, V. S. Vikhnin, and V. N. Zgonnik
pp. 197-198 Full Text: PDF (25 kB)Archived web conten
Eigenfrequencies and vibration modes of carbon nanotubes
No full textIn 1991 Iijima discovered Carbon Nanotubes, he synthesised molecular carbon structures in the form of fullerenes and then reported the preparation of a new type of finite carbon structure consisting of needle-like tubes, the carbon nanotubes, described as helical microtubules of graphitic carbon.
Examples of applications of Carbon Nanotubes (CNTs) can be found in ultrahigh frequency nanomechanical resonators, in a large number of nanoelectromechanical devices such as sensors, oscillators, charge detectors and field emission devices. The reduction of the size and the increment of the stiffness of a resonator magnify its resonant frequencies and reduce its energy consumption, improving its sensitivity.
The modal analysis of carbon nanotubes is important because it allows to obtain the resonant frequencies and mode shapes, which influence the mechanical and electronic properties of the nanotube resonators.
A large number of experiments and atomistic simulations were conducted both on single-walled (SWNTs) and multi-walled carbon nanotubes (MWNTs).
The present work is concerned with the analysis of low-frequency linear vibrations of SWNTs: two approaches are presented: a fully analytical method based on a simplified theory and a semi-analytical method based on the theory of thin walled shells.
The semi-analytical approach (shortly called “numerical approach”) is based on the Sanders-Koiter shell theory and the Rayleigh-Ritz numerical procedure. The nanotube deformation is described in terms of longitudinal, circumferential and radial displacement fields, which are expanded by means of a double mixed series based on Chebyshev polynomials for the longitudinal variable and harmonic functions for the circumferential variable. The Rayleigh-Ritz method is then applied to obtain numerically approximate natural frequencies and mode shapes.
The second approach is based on a reduced version of the Sanders-Koiter shell theory, obtained by assuming small ring and tangential shear deformations. These assumptions allow to condense both the longitudinal and the circumferential displacement fields. A fourth-order partial differential equation for the radial displacement field is derived. Eigenfunctions are formally obtained analytically, then the numerical solution of the dispersion equation gives the natural frequencies and the corresponding normal modes.
The methods are fully validated by comparing the natural frequencies of the SWNTs with data available in literature, namely: experiments, molecular dynamics simulations and finite element analyses. A comparison between the results of the numerical and analytical approach is carried out in order to check the accuracy of the last one.
It is worthwhile to stress that the analytical model allows to obtain results with very low computational effort. On the other hand the numerical approach is able to handle the most realistic boundary conditions of SWNTs (free-free, clamped-free) with extreme accuracy. Both methods are suitable for a forthcoming extension to multi-walled nanotubes and nonlinear vibrations
Nonlinear vibrations and energy distribution of carbon nanotubes
No full textThe nonlinear vibrations of Single-Walled Carbon Nanotubes are analysed. The Sanders-Koiter elastic shell theory is applied in order to obtain the elastic strain energy and kinetic energy. The carbon nanotube deformation is described in terms of longitudinal, circumferential and radial displacement fields. The theory considers geometric nonlinearities due to large amplitude of vibration. The displacement fields are expanded by means of a double series based on harmonic functions for the circumferential variable and Chebyshev polynomials for the longitudinal variable. The Rayleigh-Ritz method is applied to obtain approximate natural frequencies and mode shapes. Free boundary conditions are considered. In the nonlinear analysis, the three displacement fields are re-expanded by using approximate eigenfunctions. An energy approach based on the Lagrange equations is considered in order to obtain a set of nonlinear ordinary differential equations. The total energy distribution of the shell is studied by considering combinations of different vibration modes. The effect of the conjugate modes participation is analysed
Energy localization in carbon nanotubes
No full textIn this paper, the energy localization phenomena in low-frequency nonlinear oscillations of single-walled carbon nanotubes (SWNTs) are analysed. The SWNTs dynamics is studied in the framework of the Sanders-Koiter shell theory. Simply supported and free boundary conditions are considered. The effect of the aspect ratio on the analytical and numerical values of the localization threshold is investigated in nonlinear field
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