42 research outputs found

    Historical and statistical data on the development of the domestic alcoholic beverages industry

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    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

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    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

    Π‘Π•Π—ΠžΠŸΠΠ‘ΠΠžΠ‘Π’Π¬ ΠœΠžΠ›ΠžΠ§ΠΠ«Π₯ ΠšΠžΠΠ‘Π•Π Π’ΠžΠ’ КАК Π˜ΠΠ’Π•Π“Π ΠΠ›Π¬ΠΠ«Π™ ΠšΠ Π˜Π’Π•Π Π˜Π™ Π­Π€Π€Π•ΠšΠ’Π˜Π’ΠΠžΠ‘Π’Π˜ ИΠ₯ Π’Π•Π₯ΠΠžΠ›ΠžΠ“Π˜Π˜. Π ΠžΠ‘Π‘Π˜Π™Π‘ΠšΠ˜Π™ ОПЫВ

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    Providing the country’s 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 ΠžΠ±Π΅ΡΠΏΠ΅Ρ‡Π΅Π½ΠΈΠ΅ насСлСния страны качСствСнными ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ‚Π°ΠΌΠΈ питания Π² вострСбованном ассортимСнтС ΠΈ количСствС являСтся Π²Π°ΠΆΠ½ΠΎΠΉ Π½Π°Ρ€ΠΎΠ΄Π½ΠΎ-хозяйствСнной Π·Π°Π΄Π°Ρ‡Π΅ΠΉ. Априори Π² Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ ΡΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΡ… ΡΠΎΡ†ΠΈΠ°Π»ΡŒΠ½ΠΎ-экономичСских ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌ сущСствСнноС мСсто Π·Π°Π½ΠΈΠΌΠ°Π΅Ρ‚ продукция ΠΌΠΎΠ»ΠΎΡ‡Π½ΠΎΠΉ ΠΏΡ€ΠΎΠΌΡ‹ΡˆΠ»Π΅Π½Π½ΠΎΡΡ‚ΠΈ. Π‘ ΡƒΡ‡Π΅Ρ‚ΠΎΠΌ гСографичСских особСнностСй ΠΈ климатичСских условий России, стратСгичСских сообраТСний, слоТившСйся Ρ„Ρ€Π°Π³ΠΌΠ΅Π½Ρ‚Π°Ρ†ΠΈΠΈ ΠΏΠΎΡ‚Ρ€Π΅Π±ΠΈΡ‚Π΅Π»ΡŒΡΠΊΠΎΠ³ΠΎ Ρ€Ρ‹Π½ΠΊΠ° ΠΈ экономичСских Ρ„Π°ΠΊΡ‚ΠΎΡ€ΠΎΠ² особоС Π·Π½Π°Ρ‡Π΅Π½ΠΈΠ΅ ΠΏΡ€ΠΈΠΎΠ±Ρ€Π΅Ρ‚Π°ΡŽΡ‚ исслСдования, Π½Π°ΠΏΡ€Π°Π²Π»Π΅Π½Π½Ρ‹Π΅ Π½Π° ΡΠΎΠ²Π΅Ρ€ΡˆΠ΅Π½ΡΡ‚Π²ΠΎΠ²Π°Π½ΠΈΠ΅ Ρ‚Ρ€Π°Π΄ΠΈΡ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΈ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΊΡƒ Π½ΠΎΠ²Ρ‹Ρ… Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ ΠΌΠΎΠ»ΠΎΡ‡Π½Ρ‹Ρ… консСрвов, ΠΊΠ°ΠΊ Π²Ρ‹ΡΠΎΠΊΠΎΠΏΠΈΡ‚Π°Ρ‚Π΅Π»ΡŒΠ½Ρ‹Ρ… ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ‚ΠΎΠ² с Π²Ρ‹Ρ€Π°ΠΆΠ΅Π½Π½Ρ‹ΠΌ ΠΏΡ€ΠΈΠΎΡ€ΠΈΡ‚Π΅Ρ‚ΠΎΠΌ ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½Π½ΠΎΠΉ хранимоустойчивости.БистСма обСспСчСния стабилизации ΠΌΠΎΠ»ΠΎΡ‡Π½Ρ‹Ρ… консСрвов Π² Ρ…Ρ€Π°Π½Π΅Π½ΠΈΠΈ прСдставлСна двумя основными Π±Π»ΠΎΠΊΠ°ΠΌΠΈ: тСхнологичСски сформированный ΠΏΠΎΡ‚Π΅Π½Ρ†ΠΈΠ°Π» ΠΈ посттСхнологичСскиС трСбования Π΅Π³ΠΎ поддСрТания.ΠŸΠ΅Ρ€Π²ΠΎΠ΅ Ρ„ΠΎΡ€ΠΌΠΈΡ€ΡƒΠ΅Ρ‚ основныС свойства ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ‚Π° ΠΈ стабилизируСт ΠΈΡ…. Π’Ρ‚ΠΎΡ€ΠΎΠ΅ ΠΏΡ€Π΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅Ρ‚ обСспСчСниС условий, ΠΏΡ€ΠΈ ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Ρ… риски ΠΈΠ½ΠΈΡ†ΠΈΠ°Ρ†ΠΈΠΈ ΠΈ/ΠΈΠ»ΠΈ интСнсивности Ρ€Π΅Π°ΠΊΡ†ΠΈΠΉ Π΄Π΅Π³Ρ€Π°Π΄Π°Ρ†ΠΈΠΈ Π°Π±ΠΈΠΎΠ³Π΅Π½Π½ΠΎΠΉ ΠΈ Π±ΠΈΠΎΠ³Π΅Π½Π½ΠΎΠΉ ΠΏΡ€ΠΈΡ€ΠΎΠ΄Ρ‹ ΠΌΠΈΠ½ΠΈΠΌΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Ρ‹. Для ΠΎΡ†Π΅Π½ΠΊΠΈ качСства ΠΈ бСзопасности ΠΌΠΎΠ»ΠΎΡ‡Π½Ρ‹Ρ… консСрвов ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΈ нормируСтся ряд ΡΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΡ… ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ. Однако с ΡƒΡ‡Π΅Ρ‚ΠΎΠΌ развития Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ, Ρ€Π°ΡΡˆΠΈΡ€Π΅Π½ΠΈΡ ассортимСнта ΡΡ‹Ρ€ΡŒΠ΅Π²Ρ‹Ρ… ΠΈΠ½Π³Ρ€Π΅Π΄ΠΈΠ΅Π½Ρ‚ΠΎΠ², Ρ‚Ρ€Π΅Π±ΠΎΠ²Π°Π½ΠΈΠΉ ΠΊ ΡƒΠ΄Π»ΠΈΠ½Π΅Π½ΠΈΡŽ сроков годности ΠΈ ΠΌΠ½ΠΎΠ³ΠΎ Π΄Ρ€ΡƒΠ³ΠΎΠ³ΠΎ, ΠΎΠ±Π»Π°ΡΡ‚ΡŒ ΠΎΡ†Π΅Π½ΠΎΡ‡Π½Ρ‹Ρ… ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ΅Π² ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ качСства ΠΈ бСзопасности постоянно Ρ€Π°ΡΡˆΠΈΡ€ΡΠ΅Ρ‚ΡΡ, ΡΠΎΠ·Π΄Π°ΡŽΡ‚ΡΡ Π½ΠΎΠ²Ρ‹Π΅ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρ‹ Π°ΠΏΡ€ΠΈΠΎΡ€Π½ΠΎΠ³ΠΎ ΠΈ апостСриорного Π°Π½Π°Π»ΠΈΠ·Π°, Ρ‡Ρ‚ΠΎ фиксируСтся Π² Π½ΠΎΡ€ΠΌΠ°Ρ‚ΠΈΠ²Π½ΠΎ-тСхничСских Π΄ΠΎΠΊΡƒΠΌΠ΅Π½Ρ‚Π°Ρ…, Π² ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Ρ… ΠΈΠ½Ρ‚Π΅Π³Ρ€Π°Π»ΡŒΠ½ΠΎ ΠΎΡ‚Ρ€Π°ΠΆΠ΅Π½ ΡƒΡ€ΠΎΠ²Π΅Π½ΡŒ соврСмСнных Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ. Анализ ΠΌΠΈΡ€ΠΎΠ²Ρ‹Ρ… Ρ‚Π΅Π½Π΄Π΅Π½Ρ†ΠΈΠΉ развития консСрвирования ΠΏΠΎΠΊΠ°Π·Ρ‹Π²Π°Π΅Ρ‚, Ρ‡Ρ‚ΠΎ Ρ€Π΅Π·Π΅Ρ€Π²Ρ‹ ΡΠΎΠ²Π΅Ρ€ΡˆΠ΅Π½ΡΡ‚Π²ΠΎΠ²Π°Π½ΠΈΡ Ρ‚Ρ€Π°Π΄ΠΈΡ†ΠΈΠΎΠ½Π½Ρ‹Ρ… Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ ΠΌΠΎΠ»ΠΎΡ‡Π½Ρ‹Ρ… консСрвов, ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΡ ΠΈΡ… качСства Π΄Π°Π»Π΅ΠΊΠΎ Π½Π΅ исчСрпаны. Π—Π½Π°Ρ‡ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹ΠΉ ΠΏΠΎΡ‚Π΅Π½Ρ†ΠΈΠ°Π» Π·Π°Π»ΠΎΠΆΠ΅Π½ Π² исслСдованиях тСрмодинамичСских характСристик, Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎ-тСхнологичСских ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΌΠΎΠ»ΠΎΡ‡Π½Ρ‹Ρ… ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ‚ΠΎΠ² ΠΈ дальнСйшСй Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Ρ… Π΄Π°Π½Π½Ρ‹Ρ… Π² качСствС систСмных ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ΅Π² Π΄Π΅Ρ„ΠΈΠ½ΠΈΡ†ΠΈΠΈ Ρ€Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ тСхнологичСских ΠΎΠΏΠ΅Ρ€Π°Ρ†ΠΈΠΉ, обоснованности производствСнных схСм, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΠΎΡ†Π΅Π½ΠΊΠΈ качСства ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ†ΠΈΠΈ. ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Π΅ Π·Π° послСдниС дСсятилСтия Π΄Π°Π½Π½Ρ‹Π΅ ΠΏΠΎ ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»ΡŽ Β«Π°ΠΊΡ‚ΠΈΠ²Π½ΠΎΡΡ‚ΡŒ Π²ΠΎΠ΄Ρ‹Β», Ρ‚ΠΎΡ€ΠΌΠΎΠΆΠ΅Π½ΠΈΡŽ процСссов Π΄Π΅Π³Ρ€Π°Π΄Π°Ρ†ΠΈΠΈ ΠΌΠΈΠΊΡ€ΠΎ- ΠΈ ΠΌΠ°ΠΊΡ€ΠΎΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½Ρ‚ΠΎΠ², Β«Π±Π°Ρ€ΡŒΠ΅Ρ€Π½Ρ‹ΠΌΒ» тСхнологиям консСрвирования ΠΈ ΠΌΠ½ΠΎΠ³ΠΈΠΌ Π΄Ρ€ΡƒΠ³ΠΈΠΌ направлСниям Π² Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ… ΠΏΠΈΡ‰Π΅Π²Ρ‹Ρ… систСмах ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‚ ΠΏΡ€Π΅Π΄ΠΏΠΎΠ»Π°Π³Π°Ρ‚ΡŒ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡ‚ΡŒ опосрСдованной Π°Π΄Π°ΠΏΡ‚Π°Ρ†ΠΈΠΈ Π±ΠΎΠ»ΡŒΡˆΠΈΠ½ΡΡ‚Π²Π° мСтодологичСских ΠΏΠΎΠ΄Ρ…ΠΎΠ΄ΠΎΠ² ΠΏΡ€ΠΈΠΌΠ΅Π½ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎ ΠΊ тСхнологиям ΠΌΠΎΠ»ΠΎΡ‡Π½Ρ‹Ρ… консСрвов, ΠΏΡ€ΠΎΠ³Π½ΠΎΠ·ΠΈΡ€ΠΎΠ²Π°Ρ‚ΡŒ ΡΡ‚Ρ€Π°Ρ‚Π΅Π³ΠΈΡ‡Π΅ΡΠΊΡƒΡŽ, ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡ‡Π΅ΡΠΊΡƒΡŽ ΠΈ ΡΠΎΡ†ΠΈΠ°Π»ΡŒΠ½ΡƒΡŽ значимости Ρ‚Π°ΠΊΠΈΡ… Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΎ

    Controllability of Dynamic Systems

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    Π˜ΡΠΏΠΎΠ»ΡŒΠ·ΡƒΠ΅ΠΌΡ‹Π΅ ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΡ‹ Adobe AcrobatКнига посвящСна возмоТностям использования Ρ…ΠΎΡ€ΠΎΡˆΠΎ извСстного ΠΌΠ΅Ρ‚ΠΎΠ΄Π° Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΉ Π“Ρ€ΠΈΠ½Π° для Ρ‚ΠΎΡ‡Π½ΠΎΠ³ΠΎ ΠΈΠ»ΠΈ ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° управляСмости динамичСских систСм. Благодаря ΡΡƒΡ‰Π΅ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΠΌ Ρ€Π°ΡΡˆΠΈΡ€Π΅Π½ΠΈΡΠΌ понятия Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΈ Π“Ρ€ΠΈΠ½Π° Π½Π° Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½Ρ‹Π΅ систСмы, Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½Π½Ρ‹ΠΉ здСсь ΠΏΠΎΠ΄Ρ…ΠΎΠ΄ ΠΏΡ€ΠΈΠΌΠ΅Π½ΠΈΠΌ ΠΊΠ°ΠΊ ΠΊ систСмам с Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ, Ρ‚Π°ΠΊ ΠΈ с Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΎΠΉ. Π’ ΠΊΠ½ΠΈΠ³Π΅ прСдлагаСтся ряд ΠΊΠΎΠ½ΠΊΡ€Π΅Ρ‚Π½Ρ‹Ρ… ΠΏΡ€ΠΈΠΌΠ΅Ρ€ΠΎΠ², ΠΎΡ…Π²Π°Ρ‚Ρ‹Π²Π°ΡŽΡ‰ΠΈΡ… ΠΊΠΎΠ½ΠΊΡ€Π΅Ρ‚Π½Ρ‹Π΅ вопросы, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ ΡƒΡΠ»ΠΎΠΆΠ½ΡΡŽΡ‚ Π°Π½Π°Π»ΠΈΠ· управляСмости, Ρ‚Π°ΠΊΠΈΡ… ΠΊΠ°ΠΊ характСристики, зависящиС ΠΎΡ‚ ΠΊΠΎΠΎΡ€Π΄ΠΈΠ½Π°Ρ‚, Ρ‚ΠΎΡ‡Π΅Ρ‡Π½Ρ‹Π΅ источники, Π½Π΅ΠΎΠ³Ρ€Π°Π½ΠΈΡ‡Π΅Π½Π½Ρ‹Π΅ области, Π±ΠΎΠ»Π΅Π΅ высокиС размСрности ΠΈ спСцифичСскиС нСлинСйности. Π’ Π½Π΅ΠΉ Ρ‚Π°ΠΊΠΆΠ΅ прСдлагаСтся ΠΎΠ±ΡˆΠΈΡ€Π½Ρ‹ΠΉ числСнный Π°Π½Π°Π»ΠΈΠ·, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΉ раскрываСт ΠΊΠ°ΠΊ прСимущСства, Ρ‚Π°ΠΊ ΠΈ нСдостатки ΠΏΠΎΠ΄Ρ…ΠΎΠ΄Π°. Как таковая, ΠΊΠ½ΠΈΠ³Π° Π±ΡƒΠ΄Π΅Ρ‚ интСрСсна исслСдоватСлям, ΠΈΠ½Ρ‚Π΅Ρ€Π΅ΡΡƒΡŽΡ‰ΠΈΠΌΡΡ Ρ‚Π΅ΠΎΡ€ΠΈΠ΅ΠΉ ΠΈ ΠΏΡ€Π°ΠΊΡ‚ΠΈΠΊΠΎΠΉ управлСния, Π° Ρ‚Π°ΠΊΠΆΠ΅ аспирантам ΠΈ магистрантам.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

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    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 two–dimensional 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 Bubnov–Galerkin procedures are used to reduce the problem to integral equality type constraints. The explicit solution in terms of two–dimensional Heavisideβ€˜s function is obtained, describing piecewise–continuous 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

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    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
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