42 research outputs found
Historical and statistical data on the development of the domestic alcoholic beverages industry
The method of historical and statistical data analysis makes it possible to identify development and characteristic patterns, both temporary and permanent, production criteria for various branches of the food industry. The application of this method made it possible to trace formation of the alcohol industry inRussiaand identify critical historical events that influenced its development. The article presents and analyzes statistical data on the production of the main types of alcoholic beverages industry since 1913
Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
The natural mineral azurite Cu3(CO3)2(OH)2 is an interesting spin-1/2 quantum
antiferromagnet. Recently, a generalised diamond chain model has been
established as a good description of the magnetic properties of azurite with
parameters placing it in a highly frustrated parameter regime. Here we explore
further properties of this model for azurite. First, we determine the inelastic
neutron scattering spectrum in the absence of a magnetic field and find good
agreement with experiments, thus lending further support to the model.
Furthermore, we present numerical data for the magnetocaloric effect and
predict that strong cooling should be observed during adiabatic
(de)magnetisation of azurite in magnetic fields slightly above 30T. Finally,
the presence of a dominant dimer interaction in azurite suggests the use of
effective Hamiltonians for an effective low-energy description and we propose
that such an approach may be useful to fully account for the three-dimensional
coupling geometry.Comment: 19 pages, 6 figures; to appear in: J. Phys.: Condens. Matter (special
issue on geometrically frustrated magnetism
ΠΠΠΠΠΠΠ‘ΠΠΠ‘Π’Π¬ ΠΠΠΠΠ§ΠΠ«Π₯ ΠΠΠΠ‘ΠΠ ΠΠΠ ΠΠΠ ΠΠΠ’ΠΠΠ ΠΠΠ¬ΠΠ«Π ΠΠ ΠΠ’ΠΠ ΠΠ ΠΠ€Π€ΠΠΠ’ΠΠΠΠΠ‘Π’Π ΠΠ₯ Π’ΠΠ₯ΠΠΠΠΠΠΠ. Π ΠΠ‘Π‘ΠΠΠ‘ΠΠΠ ΠΠΠ«Π’
Providing the countryβs population with quality food products in a demanded range and quantity is an important national economic task. A priori in the implementation of appropriate social and economic programs, an important place is taken by products of the dairy industry. Taking into account the geographical features and climatic conditions of Russia, strategic considerations, the existing fragmentation of the consumer market and economic factors, special importance is acquired by researches, aimed at improving traditional and developing new technologies for canned milk products, asΒ high-nutritional products with a pronounced priority of enhanced storage stability. The system of ensuring the stabilization of canned milk in storage is represented by two main blocks: technologically formed potential and post-technological requirements for its maintenance. The first forms the basic properties of the product and stabilizes them. The second one is to ensure the conditions under which the risks of initiation and/or intensity of the abiogenic and biogenic nature degradation reactions are minimized. To assess the canned milk quality and safety proposed and standardized a number of relevant indicators. However, taking into account the technology development, the expansion of the raw ingredients range, the requirements for the extension of shelf life and much more, the scope of the evaluation criteria for quality and safety indicators is constantly expanding, new methods of a priori and a posteriori analysis are being created, which is fixed in normative and technical documents, that are integrally reflected the level of modern technology. An analysis of the world tendencies in the development of canning, shows, that the reserves of improving the traditional technologies of dairy canned food, increasing their quality, are far from exhausted. Significant potential lies in the research of thermodynamic characteristics, functional and technological indicators of dairy products and further implementation of the obtained data, as system criteria of the technological operations rationality definition, the validity of production schemes, and the evaluation of product quality. The data, obtained over the last decades on the indicator of Β«water activityΒ», inhibition of the degradation of micro and macro components, Β«barrierΒ» conservation technologies and many other directions in various food systems can suggest, that it is possible to mediate most of the methodological approaches applied to canned milk technologies, to predict strategic, economic and social significance of such developments.Β ΠΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΠ΅ Π½Π°ΡΠ΅Π»Π΅Π½ΠΈΡ ΡΡΡΠ°Π½Ρ ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΠΌΠΈ ΠΏΡΠΎΠ΄ΡΠΊΡΠ°ΠΌΠΈ ΠΏΠΈΡΠ°Π½ΠΈΡ Π² Π²ΠΎΡΡΡΠ΅Π±ΠΎΠ²Π°Π½Π½ΠΎΠΌ Π°ΡΡΠΎΡΡΠΈΠΌΠ΅Π½ΡΠ΅ ΠΈ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²Π΅ ΡΠ²Π»ΡΠ΅ΡΡΡ Π²Π°ΠΆΠ½ΠΎΠΉ Π½Π°ΡΠΎΠ΄Π½ΠΎ-Ρ
ΠΎΠ·ΡΠΉΡΡΠ²Π΅Π½Π½ΠΎΠΉ Π·Π°Π΄Π°ΡΠ΅ΠΉ. ΠΠΏΡΠΈΠΎΡΠΈ Π² ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΡ
ΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎ-ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ ΡΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ΅ ΠΌΠ΅ΡΡΠΎ Π·Π°Π½ΠΈΠΌΠ°Π΅Ρ ΠΏΡΠΎΠ΄ΡΠΊΡΠΈΡ ΠΌΠΎΠ»ΠΎΡΠ½ΠΎΠΉ ΠΏΡΠΎΠΌΡΡΠ»Π΅Π½Π½ΠΎΡΡΠΈ. Π‘ ΡΡΠ΅ΡΠΎΠΌ Π³Π΅ΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠ΅ΠΉ ΠΈ ΠΊΠ»ΠΈΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ»ΠΎΠ²ΠΈΠΉ Π ΠΎΡΡΠΈΠΈ, ΡΡΡΠ°ΡΠ΅Π³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΎΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠΉ, ΡΠ»ΠΎΠΆΠΈΠ²ΡΠ΅ΠΉΡΡ ΡΡΠ°Π³ΠΌΠ΅Π½ΡΠ°ΡΠΈΠΈ ΠΏΠΎΡΡΠ΅Π±ΠΈΡΠ΅Π»ΡΡΠΊΠΎΠ³ΠΎ ΡΡΠ½ΠΊΠ° ΠΈ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ°ΠΊΡΠΎΡΠΎΠ² ΠΎΡΠΎΠ±ΠΎΠ΅ Π·Π½Π°ΡΠ΅Π½ΠΈΠ΅ ΠΏΡΠΈΠΎΠ±ΡΠ΅ΡΠ°ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½Π½ΡΠ΅ Π½Π° ΡΠΎΠ²Π΅ΡΡΠ΅Π½ΡΡΠ²ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΡΡ
ΠΈ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΡ Π½ΠΎΠ²ΡΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ ΠΌΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΠ΅ΡΠ²ΠΎΠ², ΠΊΠ°ΠΊ Π²ΡΡΠΎΠΊΠΎΠΏΠΈΡΠ°ΡΠ΅Π»ΡΠ½ΡΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ² Ρ Π²ΡΡΠ°ΠΆΠ΅Π½Π½ΡΠΌ ΠΏΡΠΈΠΎΡΠΈΡΠ΅ΡΠΎΠΌ ΠΏΠΎΠ²ΡΡΠ΅Π½Π½ΠΎΠΉ Ρ
ΡΠ°Π½ΠΈΠΌΠΎΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΡΡΠΈ.Π‘ΠΈΡΡΠ΅ΠΌΠ° ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΡ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΠ΅ΡΠ²ΠΎΠ² Π² Ρ
ΡΠ°Π½Π΅Π½ΠΈΠΈ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π΄Π²ΡΠΌΡ ΠΎΡΠ½ΠΎΠ²Π½ΡΠΌΠΈ Π±Π»ΠΎΠΊΠ°ΠΌΠΈ: ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈ ΡΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½Π½ΡΠΉ ΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π» ΠΈ ΠΏΠΎΡΡΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΡΠ΅Π±ΠΎΠ²Π°Π½ΠΈΡ Π΅Π³ΠΎ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠ°Π½ΠΈΡ.ΠΠ΅ΡΠ²ΠΎΠ΅ ΡΠΎΡΠΌΠΈΡΡΠ΅Ρ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΡΠ²ΠΎΠΉΡΡΠ²Π° ΠΏΡΠΎΠ΄ΡΠΊΡΠ° ΠΈ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·ΠΈΡΡΠ΅Ρ ΠΈΡ
. ΠΡΠΎΡΠΎΠ΅ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅Ρ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΠΉ, ΠΏΡΠΈ ΠΊΠΎΡΠΎΡΡΡ
ΡΠΈΡΠΊΠΈ ΠΈΠ½ΠΈΡΠΈΠ°ΡΠΈΠΈ ΠΈ/ΠΈΠ»ΠΈ ΠΈΠ½ΡΠ΅Π½ΡΠΈΠ²Π½ΠΎΡΡΠΈ ΡΠ΅Π°ΠΊΡΠΈΠΉ Π΄Π΅Π³ΡΠ°Π΄Π°ΡΠΈΠΈ Π°Π±ΠΈΠΎΠ³Π΅Π½Π½ΠΎΠΉ ΠΈ Π±ΠΈΠΎΠ³Π΅Π½Π½ΠΎΠΉ ΠΏΡΠΈΡΠΎΠ΄Ρ ΠΌΠΈΠ½ΠΈΠΌΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Ρ. ΠΠ»Ρ ΠΎΡΠ΅Π½ΠΊΠΈ ΠΊΠ°ΡΠ΅ΡΡΠ²Π° ΠΈ Π±Π΅Π·ΠΎΠΏΠ°ΡΠ½ΠΎΡΡΠΈ ΠΌΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΠ΅ΡΠ²ΠΎΠ² ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΈ Π½ΠΎΡΠΌΠΈΡΡΠ΅ΡΡΡ ΡΡΠ΄ ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΡ
ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Π΅ΠΉ. ΠΠ΄Π½Π°ΠΊΠΎ Ρ ΡΡΠ΅ΡΠΎΠΌ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ, ΡΠ°ΡΡΠΈΡΠ΅Π½ΠΈΡ Π°ΡΡΠΎΡΡΠΈΠΌΠ΅Π½ΡΠ° ΡΡΡΡΠ΅Π²ΡΡ
ΠΈΠ½Π³ΡΠ΅Π΄ΠΈΠ΅Π½ΡΠΎΠ², ΡΡΠ΅Π±ΠΎΠ²Π°Π½ΠΈΠΉ ΠΊ ΡΠ΄Π»ΠΈΠ½Π΅Π½ΠΈΡ ΡΡΠΎΠΊΠΎΠ² Π³ΠΎΠ΄Π½ΠΎΡΡΠΈ ΠΈ ΠΌΠ½ΠΎΠ³ΠΎ Π΄ΡΡΠ³ΠΎΠ³ΠΎ, ΠΎΠ±Π»Π°ΡΡΡ ΠΎΡΠ΅Π½ΠΎΡΠ½ΡΡ
ΠΊΡΠΈΡΠ΅ΡΠΈΠ΅Π² ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Π΅ΠΉ ΠΊΠ°ΡΠ΅ΡΡΠ²Π° ΠΈ Π±Π΅Π·ΠΎΠΏΠ°ΡΠ½ΠΎΡΡΠΈ ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎ ΡΠ°ΡΡΠΈΡΡΠ΅ΡΡΡ, ΡΠΎΠ·Π΄Π°ΡΡΡΡ Π½ΠΎΠ²ΡΠ΅ ΠΌΠ΅ΡΠΎΠ΄Ρ Π°ΠΏΡΠΈΠΎΡΠ½ΠΎΠ³ΠΎ ΠΈ Π°ΠΏΠΎΡΡΠ΅ΡΠΈΠΎΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°, ΡΡΠΎ ΡΠΈΠΊΡΠΈΡΡΠ΅ΡΡΡ Π² Π½ΠΎΡΠΌΠ°ΡΠΈΠ²Π½ΠΎ-ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
Π΄ΠΎΠΊΡΠΌΠ΅Π½ΡΠ°Ρ
, Π² ΠΊΠΎΡΠΎΡΡΡ
ΠΈΠ½ΡΠ΅Π³ΡΠ°Π»ΡΠ½ΠΎ ΠΎΡΡΠ°ΠΆΠ΅Π½ ΡΡΠΎΠ²Π΅Π½Ρ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ. ΠΠ½Π°Π»ΠΈΠ· ΠΌΠΈΡΠΎΠ²ΡΡ
ΡΠ΅Π½Π΄Π΅Π½ΡΠΈΠΉ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΊΠΎΠ½ΡΠ΅ΡΠ²ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠΊΠ°Π·ΡΠ²Π°Π΅Ρ, ΡΡΠΎ ΡΠ΅Π·Π΅ΡΠ²Ρ ΡΠΎΠ²Π΅ΡΡΠ΅Π½ΡΡΠ²ΠΎΠ²Π°Π½ΠΈΡ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΡΡ
ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ ΠΌΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΠ΅ΡΠ²ΠΎΠ², ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΡ ΠΈΡ
ΠΊΠ°ΡΠ΅ΡΡΠ²Π° Π΄Π°Π»Π΅ΠΊΠΎ Π½Π΅ ΠΈΡΡΠ΅ΡΠΏΠ°Π½Ρ. ΠΠ½Π°ΡΠΈΡΠ΅Π»ΡΠ½ΡΠΉ ΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π» Π·Π°Π»ΠΎΠΆΠ΅Π½ Π² ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡΡ
ΡΠ΅ΡΠΌΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ, ΡΡΠ½ΠΊΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎ-ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Π΅ΠΉ ΠΌΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ² ΠΈ Π΄Π°Π»ΡΠ½Π΅ΠΉΡΠ΅ΠΉ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
Π΄Π°Π½Π½ΡΡ
Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠΈΡΡΠ΅ΠΌΠ½ΡΡ
ΠΊΡΠΈΡΠ΅ΡΠΈΠ΅Π² Π΄Π΅ΡΠΈΠ½ΠΈΡΠΈΠΈ ΡΠ°ΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΡΡΠΈ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΉ, ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΠΎΡΡΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΡΡΠ²Π΅Π½Π½ΡΡ
ΡΡ
Π΅ΠΌ, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΎΡΠ΅Π½ΠΊΠΈ ΠΊΠ°ΡΠ΅ΡΡΠ²Π° ΠΏΡΠΎΠ΄ΡΠΊΡΠΈΠΈ. ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ Π·Π° ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΠ΅ Π΄Π΅ΡΡΡΠΈΠ»Π΅ΡΠΈΡ Π΄Π°Π½Π½ΡΠ΅ ΠΏΠΎ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Ρ Β«Π°ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ Π²ΠΎΠ΄ΡΒ», ΡΠΎΡΠΌΠΎΠΆΠ΅Π½ΠΈΡ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² Π΄Π΅Π³ΡΠ°Π΄Π°ΡΠΈΠΈ ΠΌΠΈΠΊΡΠΎ- ΠΈ ΠΌΠ°ΠΊΡΠΎΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠΎΠ², Β«Π±Π°ΡΡΠ΅ΡΠ½ΡΠΌΒ» ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠΌ ΠΊΠΎΠ½ΡΠ΅ΡΠ²ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈ ΠΌΠ½ΠΎΠ³ΠΈΠΌ Π΄ΡΡΠ³ΠΈΠΌ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡΠΌ Π² ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΠΏΠΈΡΠ΅Π²ΡΡ
ΡΠΈΡΡΠ΅ΠΌΠ°Ρ
ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°ΡΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΠΎΠΏΠΎΡΡΠ΅Π΄ΠΎΠ²Π°Π½Π½ΠΎΠΉ Π°Π΄Π°ΠΏΡΠ°ΡΠΈΠΈ Π±ΠΎΠ»ΡΡΠΈΠ½ΡΡΠ²Π° ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ΠΎΠ² ΠΏΡΠΈΠΌΠ΅Π½ΠΈΡΠ΅Π»ΡΠ½ΠΎ ΠΊ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠΌ ΠΌΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΠ΅ΡΠ²ΠΎΠ², ΠΏΡΠΎΠ³Π½ΠΎΠ·ΠΈΡΠΎΠ²Π°ΡΡ ΡΡΡΠ°ΡΠ΅Π³ΠΈΡΠ΅ΡΠΊΡΡ, ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΡΡ ΠΈ ΡΠΎΡΠΈΠ°Π»ΡΠ½ΡΡ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΠΈ ΡΠ°ΠΊΠΈΡ
ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΎ
New holographic reconstruction of scalar-field dark-energy models in the framework of chameleon BransβDicke cosmology
Controllability of Dynamic Systems
ΠΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΠΌΡΠ΅ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ Adobe AcrobatΠΠ½ΠΈΠ³Π° ΠΏΠΎΡΠ²ΡΡΠ΅Π½Π° Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡΠΌ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ Ρ
ΠΎΡΠΎΡΠΎ ΠΈΠ·Π²Π΅ΡΡΠ½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΡΡΠ½ΠΊΡΠΈΠΉ ΠΡΠΈΠ½Π° Π΄Π»Ρ ΡΠΎΡΠ½ΠΎΠ³ΠΎ ΠΈΠ»ΠΈ ΠΏΡΠΈΠ±Π»ΠΈΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° ΡΠΏΡΠ°Π²Π»ΡΠ΅ΠΌΠΎΡΡΠΈ Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ. ΠΠ»Π°Π³ΠΎΠ΄Π°ΡΡ ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠΈΠΌ ΡΠ°ΡΡΠΈΡΠ΅Π½ΠΈΡΠΌ ΠΏΠΎΠ½ΡΡΠΈΡ ΡΡΠ½ΠΊΡΠΈΠΈ ΠΡΠΈΠ½Π° Π½Π° Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΡΠ΅ ΡΠΈΡΡΠ΅ΠΌΡ, ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΡΠΉ Π·Π΄Π΅ΡΡ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΏΡΠΈΠΌΠ΅Π½ΠΈΠΌ ΠΊΠ°ΠΊ ΠΊ ΡΠΈΡΡΠ΅ΠΌΠ°ΠΌ Ρ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ, ΡΠ°ΠΊ ΠΈ Ρ Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΎΠΉ. Π ΠΊΠ½ΠΈΠ³Π΅ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΡΡΠ΄ ΠΊΠΎΠ½ΠΊΡΠ΅ΡΠ½ΡΡ
ΠΏΡΠΈΠΌΠ΅ΡΠΎΠ², ΠΎΡ
Π²Π°ΡΡΠ²Π°ΡΡΠΈΡ
ΠΊΠΎΠ½ΠΊΡΠ΅ΡΠ½ΡΠ΅ Π²ΠΎΠΏΡΠΎΡΡ, ΠΊΠΎΡΠΎΡΡΠ΅ ΡΡΠ»ΠΎΠΆΠ½ΡΡΡ Π°Π½Π°Π»ΠΈΠ· ΡΠΏΡΠ°Π²Π»ΡΠ΅ΠΌΠΎΡΡΠΈ, ΡΠ°ΠΊΠΈΡ
ΠΊΠ°ΠΊ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ, Π·Π°Π²ΠΈΡΡΡΠΈΠ΅ ΠΎΡ ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°Ρ, ΡΠΎΡΠ΅ΡΠ½ΡΠ΅ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΈ, Π½Π΅ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½Π½ΡΠ΅ ΠΎΠ±Π»Π°ΡΡΠΈ, Π±ΠΎΠ»Π΅Π΅ Π²ΡΡΠΎΠΊΠΈΠ΅ ΡΠ°Π·ΠΌΠ΅ΡΠ½ΠΎΡΡΠΈ ΠΈ ΡΠΏΠ΅ΡΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΡΡΠΈ. Π Π½Π΅ΠΉ ΡΠ°ΠΊΠΆΠ΅ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΠΎΠ±ΡΠΈΡΠ½ΡΠΉ ΡΠΈΡΠ»Π΅Π½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ·, ΠΊΠΎΡΠΎΡΡΠΉ ΡΠ°ΡΠΊΡΡΠ²Π°Π΅Ρ ΠΊΠ°ΠΊ ΠΏΡΠ΅ΠΈΠΌΡΡΠ΅ΡΡΠ²Π°, ΡΠ°ΠΊ ΠΈ Π½Π΅Π΄ΠΎΡΡΠ°ΡΠΊΠΈ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Π°. ΠΠ°ΠΊ ΡΠ°ΠΊΠΎΠ²Π°Ρ, ΠΊΠ½ΠΈΠ³Π° Π±ΡΠ΄Π΅Ρ ΠΈΠ½ΡΠ΅ΡΠ΅ΡΠ½Π° ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠΌ, ΠΈΠ½ΡΠ΅ΡΠ΅ΡΡΡΡΠΈΠΌΡΡ ΡΠ΅ΠΎΡΠΈΠ΅ΠΉ ΠΈ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΎΠΉ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ, Π° ΡΠ°ΠΊΠΆΠ΅ Π°ΡΠΏΠΈΡΠ°Π½ΡΠ°ΠΌ ΠΈ ΠΌΠ°Π³ΠΈΡΡΡΠ°Π½ΡΠ°ΠΌ.The book is about the possibilities of involvement of the well-known Greens function method in exact or approximate controllability analysis for dynamic systems. Due to existing extensions of the Greens function notion to nonlinear systems, the approach developed here is valid for systems with both linear and nonlinear dynamics. The book offers a number of particular examples, covering specific issues that make the controllability analysis sophisticated, such as coordinate dependent characteristics, point sources, unbounded domains, higher dimensions, and specific nonlinearities. It also offers extensive numerical analysis, which reveals both advantages and drawbacks of the approach. As such, the book will be of interest to researchers interested in the theory and practice of control, as well as PhD and Masters students
Topology optimization for elastic base under rectangular plate subjected to moving load
Distribution optimization of elastic material under elastic isotropic rectangular thin plate subjected to concentrated moving load is investigated in the present paper. The aim of optimization is to damp its vibrations in finite (fixed) time. Accepting Kirchhoff hypothesis with respect to the plate and Winkler hypothesis with respect to the base, the mathematical model of the problem is constructed as twoβdimensional bilinear equation, i.e. linear in state and control function. The maximal quantity of the base material is taken as optimality criterion to be minimized. The Fourier distributional transform and the BubnovβGalerkin procedures are used to reduce the problem to integral equality type constraints. The explicit solution in terms of twoβdimensional Heavisideβs function is obtained, describing piecewiseβcontinuous distribution of the material. The determination of the switching points is reduced to a problem of nonlinear programming. Data from numerical analysis are presented
On adhesive binding optimization of elastic homogeneous rod to a fixed rigid base as a control problem by coefficient
The problem of finite, partially glued to a fixed rigid base rod longitudinal vibrations damping by optimizing adhesive structural topology is investigated. Vibrations of the rod are caused by external load, concentrated on free end of the rod, the other end of which is elastically clamped. The problem is mathematically formulated as a boundary-value problem for onedimensional wave equation with attenuation and variable controlled coefficient. The intensity of adhesion distribution function is taken as optimality criterion to be minimized. Structure of adhesion layer, optimal in that sense, is obtained as a piecewise-constant function. Using Fourier real generalized integral transform, the problem of unknown function determination is reduced to determination of certain switching points from a system of nonlinear, in general, complex equations. Some particular cases are considered