Yu.S. Belov - Ph. D. (Phys.-Math.), Associate Professor, Kaluga branch of the Bauman MSTU. E-mail: ybs82@mail.ru E.V. Vershinin - Ph. D. (Phys.-Math.), Associate Professor, Kaluga branch of the Bauman MSTU. E-mail: yevgeniyv@mail.ru B.M. Loginov - Dr. Sc. (Phys.-Math.), Professor, Kaluga branch of the Bauman MSTU. E-mail: bloginov@mail.ru A.V. Ponomarev - Post-graduate Student, Kaluga branch of the Bauman MSTU. E-mail: palex@mail.ru S.V. Rybkin - Ph. D. (Phys.-Math.), Associate Professor, Kaluga branch of the Bauman MSTU. E-mail: sr@kaluga.net N.N. Mitryushina - Student, Kaluga branch of the Bauman MSTU. E-mail: natalya-mitryushina@mail.ru

The paper deals with the technology and the conditions for obtaining carbon filamentary crystals on the basis of carbonyl clusters of platinum. By method of a katodolyuministsention it is shown that the received nanostructures have mainly sp3-hybridization, characteristic for single-crystal diamond. The perspective of obtaining the strict analytical solutions to describe the fluctuations of solid bodies of a limited form taking into account all boundary conditions is shown. The theoretical analysis of the resonant phenomena of 1-D objects at influence of external periodic loadings is carried out and conditions of generation of resonant frequencies for various boundary conditions are formulated. With use of kinetic energy of a bend the equation of own flexural fluctuations of a rod is received. The mathematical apparatus of forced vibrations of a rod with close values of natural frequencies in two mutually perpendicular directions in the case of discrepancy between the flexural rigidity of the rod with fixed pivot bearing with the geometric nonlinearity is considered. On the basis of a method of the compound resonant piezoelectric oscillator, ultrasonic impact on the filamentary diamond crystals received as a result of destruction of carbonyl clusters in mild conditions is carried out. For the test samples of filamentary crystals defined resonant frequency, and the corresponding values of Young\'s modulus.

 

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