Rationing and vibration monitoring of knife refiners

The subject of the research is rationing and monitoring of the vibration of knife refiners. GOST 26493-85, specifying the permissible values of the vibration amplitude of the mills, is outdated. This standard does not take into account new designs of knife refiners and the requirements of national and international standards. It is proposed to establish two criteria for assessing the vibration state of the refiners. The first criterion normalizes the amplitude of vibration in octave strips of frequencies, while the second criterion specifies the vibration trend on the general level. It is proposed to use the vibration velocity as the measured parameter. The necessity of separating the refiners into two groups was revealed: with a disc or cone diameter up to 1000 mm and with a diameter over 1000 mm. The boundaries of zones and vibration trends are determined: good; satisfactorily; need improvement and unacceptable. After that, a decision is made to limit the functioning of these machines (prevention and stop). The introduction of standards and vibration monitoring will accelerate the transition to repairs of machines on the technical condition. Methods of rationing and monitoring can be used in other industries, for example, in the mining and metallurgical industries. © Published under licence by IOP Publishing Ltd

Flexural fluctuations of the rotors of knife refiners

The subject of the study is the flexural fluctuations of the rotors of knife refiners. The dynamic and mathematical models of rotors of disk mills are developed. As a result of research, a method for vibration calculation of rotors is proposed and tested. Research was also conducted using the Ansys software package. The error in determining the lower frequencies of free fluctuations of the mill rotors does not exceed 9%. Failure to take into account the elastic compliance of the rotor bearings leads to an error in determining the frequencies of free flexural fluctuations by no more than 15%, and the gyroscopic moment increases the above frequencies by no more than 25%. The cantilever arrangement of the disk reduces the frequencies of free fluctuations of the mill rotor by 1.1 - 1.4 times in comparison with the inter-support arrangement. The developed calculation procedure can be used in other industries, for example, mining and metallurgy. © Published under licence by IOP Publishing Ltd

Математические начала ранней Вселенной и живой материи

We suppose that our Universe sprang according to the Cayley algebra. The Great Nothing is described by this algebra (no having any representation). But it may be enclosed into the Heisenberg algebra (the enclosing is not homomorphism). A new physical substance, called pre-matter (or bi-Hamiltonian matter), is underlain the latter. Our Universe has consisted of this kind of matter in its zero cycle. After the Big Bang that is identified with the total irreversible quantum transition, taking place in the bi-Hamiltonian matter, the fundamental particles were arisen. It is shown that after the so called de Sitter’s stage of Universe extension our space was in phase of the Bohr compact (space firm). Formation of alive cells were connected with this phase state of our space.Было ли у Вселенной начало, которое можно принять за акт творения, или она как causa sui существует сама по себе вечно и бесконечно? Этот вопрос, весьма актуальный в современной космологии, до сих пор не имел однозначного ответа. В данной статье начало Вселенной (Великое Ничто) отождествляется с алгеброй Кэли. Исходя из нее, дается последовательное построение физической картины мира, которая включает в себя: 1) материализацию Ничто — возникновение праматерии , 2) появление конфигурационного пространства — носителя праматерии, способного находиться в трех различных фазовых состояниях, 3) возникновение наблюдаемой материи вследствие конденсации и взрыва праматерии — тотального квантового перехода, происходящего в праматерии, и, в частности, образование живой клетки, которое происходит в той фазе пространства, которая называется боровским компактом. Важную роль играют квантовые корреляции, определяющие топологию конфигурационного пространства праматерии

Origin of second-harmonic generation in the incommensurate phase of K2SeO4

We show that a ferroelectric phase transition takes place in the incommensurate phase of the K2SeO4 crystal. The ferroelectric character of the IC phase explains the second-harmonic generation observed in the corresponding temperature range.Comment: 5 pages, 1 figur

Collective modes in uniaxial incommensurate-commensurate systems with the real order parameter

The basic Landau model for uniaxial systems of the II class is nonintegrable, and allows for various stable and metastable periodic configurations, beside that representing the uniform (or dimerized) ordering. In the present paper we complete the analysis of this model by performing the second order variational procedure, and formulating the combined Floquet-Bloch approach to the ensuing nonstandard linear eigenvalue problem. This approach enables an analytic derivation of some general conclusions on the stability of particular states, and on the nature of accompanied collective excitations. Furthermore, we calculate numerically the spectra of collective modes for all states participating in the phase diagram, and analyze critical properties of Goldstone modes at all second order and first order transitions between disordered, uniform and periodic states. In particular it is shown that the Goldstone mode softens as the underlying soliton lattice becomes more and more dilute.Comment: 19 pages, 16 figures, REVTeX, to be published in Journal of Physics A: Mathematical and Genera