Pub Date : 2024-04-24DOI: 10.18287/2541-7525-2024-30-1-7-22
L. V. Stepanova, M. N. Osipov, M. E. Fedina, N. V. Voropaeva, A. N. Krutov, V. V. Bondarenko
The article is dedicated to the memory of Doctor of Physical and Mathematical Sciences, Professor Vladimir Ivanovich Astafiev, whose professional activity for more than 35 years has been associated with Samara University. Scientific, teaching and organizational activities of V.I. Astafiev largely determined and will determine the scientific directions developed at the Faculty of Mechanics and Mathematics, and the educational activity at the Faculty of Mechanics and Mathematics. His boundless dedication to the university, his broad and deep education, and high mathematical culture allowed him to educate the whole pleiades of scientists and professors currently working at the university.
{"title":"In memory of Vladimir Ivanovich Astafyev (30.11.1948 – 08.02.2024)","authors":"L. V. Stepanova, M. N. Osipov, M. E. Fedina, N. V. Voropaeva, A. N. Krutov, V. V. Bondarenko","doi":"10.18287/2541-7525-2024-30-1-7-22","DOIUrl":"https://doi.org/10.18287/2541-7525-2024-30-1-7-22","url":null,"abstract":"The article is dedicated to the memory of Doctor of Physical and Mathematical Sciences, Professor Vladimir Ivanovich Astafiev, whose professional activity for more than 35 years has been associated with Samara University. Scientific, teaching and organizational activities of V.I. Astafiev largely determined and will determine the scientific directions developed at the Faculty of Mechanics and Mathematics, and the educational activity at the Faculty of Mechanics and Mathematics. His boundless dedication to the university, his broad and deep education, and high mathematical culture allowed him to educate the whole pleiades of scientists and professors currently working at the university.","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"33 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140661237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-24DOI: 10.18287/2541-7525-2024-30-1-96-111
A. Karpishkov, V. Saleev, K. Shilyaev
In our work we consider prompt J/ψ and ψ′ production within the approaches of nonrelativistic quantum chromodynamics and generalized parton model. We use various experimental data (√s = 200 GeV and √s =19.4 GeV) of charmonium production to fit octet nonperturbative matrix elements and averaged values of initial partons’ transverse momenta. Further, we make evaluation with the extracted parameters and predict J/ψ production cross section and polarization of J/ψ and ψ′ at NICA collider energy √s = 27 GeV.
{"title":"Prompt polarized J/ψ production at NICA within NRQCD and generalized parton model","authors":"A. Karpishkov, V. Saleev, K. Shilyaev","doi":"10.18287/2541-7525-2024-30-1-96-111","DOIUrl":"https://doi.org/10.18287/2541-7525-2024-30-1-96-111","url":null,"abstract":"In our work we consider prompt J/ψ and ψ′ production within the approaches of nonrelativistic quantum chromodynamics and generalized parton model. We use various experimental data (√s = 200 GeV and √s =19.4 GeV) of charmonium production to fit octet nonperturbative matrix elements and averaged values of initial partons’ transverse momenta. Further, we make evaluation with the extracted parameters and predict J/ψ production cross section and polarization of J/ψ and ψ′ at NICA collider energy √s = 27 GeV.","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"54 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140664758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-24DOI: 10.18287/2541-7525-2024-30-1-122-131
D. Chernyshev, V. Klochkova, A. Lelekov
A model of the native absorption spectrum of the red seaweed Porphyridium purpureum culture was developed in this work. The mathematical model of each pigment is the sum of Gaussian curves. To level the light scattering, the spectra of the culture were recorded on a spectrophotometer with an integrating sphere. To verify the model, a series of parallel measurements of photosynthetic pigment concentrations using standard biochemical methods and the Gaussian curve method were performed. It was shown that the proposed model with sufficient accuracy makes it possible to determine the concentration of the main photosynthetic pigments of Porphyridium purpureum culture without interfering with its growth processes.
{"title":"Model of decomposition of the native absorption spectrum of Porphyridium purpureum culture","authors":"D. Chernyshev, V. Klochkova, A. Lelekov","doi":"10.18287/2541-7525-2024-30-1-122-131","DOIUrl":"https://doi.org/10.18287/2541-7525-2024-30-1-122-131","url":null,"abstract":"A model of the native absorption spectrum of the red seaweed Porphyridium purpureum culture was developed in this work. The mathematical model of each pigment is the sum of Gaussian curves. To level the light scattering, the spectra of the culture were recorded on a spectrophotometer with an integrating sphere. To verify the model, a series of parallel measurements of photosynthetic pigment concentrations using standard biochemical methods and the Gaussian curve method were performed. It was shown that the proposed model with sufficient accuracy makes it possible to determine the concentration of the main photosynthetic pigments of Porphyridium purpureum culture without interfering with its growth processes.","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"60 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140664237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-24DOI: 10.18287/2541-7525-2024-30-1-31-39
A. S. Kirsanova
The article discusses the mathematical model of the Daria small wind power plant. This installation is a type of vertical axis wind turbine named after its inventor, Georges Jean Marie Darrieux. The design consists of a vertically oriented shaft with curved blades or airfoils attached to it, forming a shape similar to an egg whisk. In today’s world, against the backdrop of climate change and steadily increasing energy demand, wind energy acts as a critical pillar of the transition to renewable energy sources. This technology helps reduce carbon emissions and mitigate humanity’s impact on the environment. In this context, wind energy is emerging not only as a means of supplying electricity, but also as a powerful catalyst for building a more sustainable and energy-efficient future. The equation of stationary modes is studied at the value of the external resistance of the dynamic model specified by the simplest equation. Conditions have been found under which relaxation oscillations are observed in the system.
{"title":"Relaxation oscillations in the Darie wind power plant model","authors":"A. S. Kirsanova","doi":"10.18287/2541-7525-2024-30-1-31-39","DOIUrl":"https://doi.org/10.18287/2541-7525-2024-30-1-31-39","url":null,"abstract":"The article discusses the mathematical model of the Daria small wind power plant. This installation is a type of vertical axis wind turbine named after its inventor, Georges Jean Marie Darrieux. The design consists of a vertically oriented shaft with curved blades or airfoils attached to it, forming a shape similar to an egg whisk. In today’s world, against the backdrop of climate change and steadily increasing energy demand, wind energy acts as a critical pillar of the transition to renewable energy sources. This technology helps reduce carbon emissions and mitigate humanity’s impact on the environment. In this context, wind energy is emerging not only as a means of supplying electricity, but also as a powerful catalyst for building a more sustainable and energy-efficient future. The equation of stationary modes is studied at the value of the external resistance of the dynamic model specified by the simplest equation. Conditions have been found under which relaxation oscillations are observed in the system.","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"108 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140659326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-24DOI: 10.18287/2541-7525-2024-30-1-50-63
K. B. Ustinov, D. V. Gandilyan
The problem of deformation under the action of uniform pressure of a circular plate coupled with a massive base is considered, while the condition for the coupling of the plate with the base is modeled using boundary conditions of the generalized elastic embedding type, i.e. the relationship between the bending moment and forces at the edge of the plate with displacements and rotation angles through the compliance matrix. The main goal of the work is to study the influence of the elasticity of the embedding on the elastic response of the plate. The solution to the problem was obtained in the formulation of the linear theory of plates, the theory of membranes in the approximation of homogeneity of longitudinal forces, and the Foppl — von Karman theory, also in the approximation of the assumption of homogeneity of longitudinal forces. The values of the coefficients of the compliance matrix were obtained using the finite element method for the auxiliary problem and compared with the values of the coefficients obtained for related problems by analytical methods. Numerical results were obtained for an aluminum wafer on a silicon base. The obtained solution was compared with the solution obtained for the rigid embedment condition for all three models used. It is shown that in the case of large deflections (several plate thicknesses), taking into account the compliance of the embedment becomes essential.
考虑了与大块基座耦合的圆板在均匀压力作用下的变形问题,而圆板与基座的耦合条件是使用广义弹性嵌入类型的边界条件来模拟的,即通过顺应矩阵来模拟圆板边缘的弯矩和力与位移和旋转角之间的关系。这项工作的主要目标是研究嵌入的弹性对板的弹性响应的影响。该问题的解决方案是根据板的线性理论、近似纵向力均匀性的膜理论以及 Foppl - von Karman 理论(也是近似纵向力均匀性的假设)得出的。使用有限元方法获得了辅助问题的顺应矩阵系数值,并将其与通过分析方法获得的相关问题的系数值进行了比较。针对硅基上的铝晶圆得出了数值结果。所获得的解决方案与所有三种模型在刚性嵌入条件下获得的解决方案进行了比较。结果表明,在大挠度(几个板厚)情况下,考虑嵌入物的顺应性变得至关重要。
{"title":"On the boundary conditions for a thin circular plate \u0000conjugated to a massive body","authors":"K. B. Ustinov, D. V. Gandilyan","doi":"10.18287/2541-7525-2024-30-1-50-63","DOIUrl":"https://doi.org/10.18287/2541-7525-2024-30-1-50-63","url":null,"abstract":"The problem of deformation under the action of uniform pressure of a circular plate coupled with a massive base is considered, while the condition for the coupling of the plate with the base is modeled using boundary conditions of the generalized elastic embedding type, i.e. the relationship between the bending moment and forces at the edge of the plate with displacements and rotation angles through the compliance matrix. The main goal of the work is to study the influence of the elasticity of the embedding on the elastic response of the plate. The solution to the problem was obtained in the formulation of the linear theory of plates, the theory of membranes in the approximation of homogeneity of longitudinal forces, and the Foppl — von Karman theory, also in the approximation of the assumption of homogeneity of longitudinal forces. The values of the coefficients of the compliance matrix were obtained using the finite element method for the auxiliary problem and compared with the values of the coefficients obtained for related problems by analytical methods. Numerical results were obtained for an aluminum wafer on a silicon base. The obtained solution was compared with the solution obtained for the rigid embedment condition for all three models used. It is shown that in the case of large deflections (several plate thicknesses), taking into account the compliance of the embedment becomes essential.","PeriodicalId":427884,"journal":{"name":"Vestnik of Samara University. Natural Science Series","volume":"58 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140664953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}