Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342171
S. A. Kabrits, E. P. Kolpak
The article discusses numerical solution of nonlinear boundary value problems appearing in the theory of shells made of elastomers. Issues of solution continuation with respect to parameters in case of bifurcation branching of the corresponding loading diagrams are considered particularly. A numerical algorithm for finding the bifurcation branches at the load-displacement diagram is proposed. The effectiveness of the algorithm is demonstrated for the problem of arch strip off-center compression.
{"title":"Finding bifurcation branches in nonlinear problems of statics of shells numerically","authors":"S. A. Kabrits, E. P. Kolpak","doi":"10.1109/SCP.2015.7342171","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342171","url":null,"abstract":"The article discusses numerical solution of nonlinear boundary value problems appearing in the theory of shells made of elastomers. Issues of solution continuation with respect to parameters in case of bifurcation branching of the corresponding loading diagrams are considered particularly. A numerical algorithm for finding the bifurcation branches at the load-displacement diagram is proposed. The effectiveness of the algorithm is demonstrated for the problem of arch strip off-center compression.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127181344","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342132
D. Ovsyannikov, A. Ovsyannikov, I. Antropov, V. Kozynchenko
The upgraded program complex BDO RFQ is introduced in this article. This complex is developed for modernization and step-by-step optimization of RFQ structure.
本文介绍了升级后的程序复合体BDO RFQ。该综合体是为RFQ结构的现代化和逐步优化而开发的。
{"title":"Software complex BDO-RFQ","authors":"D. Ovsyannikov, A. Ovsyannikov, I. Antropov, V. Kozynchenko","doi":"10.1109/SCP.2015.7342132","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342132","url":null,"abstract":"The upgraded program complex BDO RFQ is introduced in this article. This complex is developed for modernization and step-by-step optimization of RFQ structure.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124065006","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342038
V. Ermolin, T. Vlasova
In this paper we consider a time-invariant system of differential equations with an equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an estimation of the domain of attraction (DOA). This work is a development of the results obtained by V. I. Zubov. The solution of the problem is based on the application of the second method of Lyapunov. An example illustrates the theoretical results.
本文考虑一类具有平衡点的定常微分方程组。研究一类允许描述吸引域估计的李雅普诺夫函数问题。这项工作是V. I. Zubov的结果的发展。该问题的求解基于李亚普诺夫第二方法的应用。算例说明了理论结果。
{"title":"Identification of the domain of attraction","authors":"V. Ermolin, T. Vlasova","doi":"10.1109/SCP.2015.7342038","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342038","url":null,"abstract":"In this paper we consider a time-invariant system of differential equations with an equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an estimation of the domain of attraction (DOA). This work is a development of the results obtained by V. I. Zubov. The solution of the problem is based on the application of the second method of Lyapunov. An example illustrates the theoretical results.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126507030","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342153
V. Maximov, Tatyana F. Zavadskaya
The problem of modelling a uniform depth fluid flow, which generated by hydrodynamic source and sink, is considered. The solution of the appearing linear boundary-value problem is obtained using operator technique and Laplace transform. In the special case, when the hydrodynamic system intensity varies harmonically, an analytical formula for the wave surface elevation was obtained.
{"title":"Modelling of interaction of sea waves between the “source-sink” hydrodynamical system","authors":"V. Maximov, Tatyana F. Zavadskaya","doi":"10.1109/SCP.2015.7342153","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342153","url":null,"abstract":"The problem of modelling a uniform depth fluid flow, which generated by hydrodynamic source and sink, is considered. The solution of the appearing linear boundary-value problem is obtained using operator technique and Laplace transform. In the special case, when the hydrodynamic system intensity varies harmonically, an analytical formula for the wave surface elevation was obtained.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126287613","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342091
V. Ponomarev, V. Altsybeyev
The code development for Poisson equation solving using finite-difference method is discussed in this paper. The developed tool allows to compute electric field on the rectangle mesh with good accuracy even for difficult geometry of computational domain.
{"title":"Development of 2D Poisson equation C++ finite-difference solver for particle-in-cell method","authors":"V. Ponomarev, V. Altsybeyev","doi":"10.1109/SCP.2015.7342091","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342091","url":null,"abstract":"The code development for Poisson equation solving using finite-difference method is discussed in this paper. The developed tool allows to compute electric field on the rectangle mesh with good accuracy even for difficult geometry of computational domain.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114149520","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342108
P. Bocharov, A. Goryashko
We introduce a model of evolutionary game dynamics for partition games - general class of resource allocation games. Our focus is on a computer modelling of the repeated partition games where the pure payoff matrix strategies are the actors of the population. At each instant, actor from one concurrent population is randomly matched with actor from other population, and they play a strategic form game Lotto. The payoffs of the game are population's fitness level. Populations with the strategies that have higher payoffs expand and those that have lower payoffs shrink. We discuss several experimental results with unexpected populations behavior.
{"title":"Evolutionary dynamics of partition games","authors":"P. Bocharov, A. Goryashko","doi":"10.1109/SCP.2015.7342108","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342108","url":null,"abstract":"We introduce a model of evolutionary game dynamics for partition games - general class of resource allocation games. Our focus is on a computer modelling of the repeated partition games where the pure payoff matrix strategies are the actors of the population. At each instant, actor from one concurrent population is randomly matched with actor from other population, and they play a strategic form game Lotto. The payoffs of the game are population's fitness level. Populations with the strategies that have higher payoffs expand and those that have lower payoffs shrink. We discuss several experimental results with unexpected populations behavior.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114804714","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342087
S. Peregudin, S. Kholodova
A system of nonlinear partial differential equations is considered that models perturbations in a layer of an ideal electrically conducting rotating fluid bounded by spatially and temporally varying surfaces with allowance for inertial forces and diffusion of magnetic field. The system is reduced to a scalar equation. The solvability of initial boundary value problems arising in the theory of waves in conducting rotating fluids can be established by analyzing this equation.
{"title":"Modeling and analysis of the large scale magneto hydrodynamics waves","authors":"S. Peregudin, S. Kholodova","doi":"10.1109/SCP.2015.7342087","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342087","url":null,"abstract":"A system of nonlinear partial differential equations is considered that models perturbations in a layer of an ideal electrically conducting rotating fluid bounded by spatially and temporally varying surfaces with allowance for inertial forces and diffusion of magnetic field. The system is reduced to a scalar equation. The solvability of initial boundary value problems arising in the theory of waves in conducting rotating fluids can be established by analyzing this equation.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127986949","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342150
A. Bochkarev, M. Grekov
The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is found with the Ritz method in the framework of the linearized von Kármán set of equations. Numerical computations are performed with the Ritz method for various elastic properties of the surface. It is shown that one doesn't get a significant correction of the local buckling (i.e of the critical load), if residual surface stress is included into the mathematically exact theory of surface elasticity.
{"title":"The influence of the surface stress on the local buckling of a plate with a circular nanohole","authors":"A. Bochkarev, M. Grekov","doi":"10.1109/SCP.2015.7342150","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342150","url":null,"abstract":"The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is found with the Ritz method in the framework of the linearized von Kármán set of equations. Numerical computations are performed with the Ritz method for various elastic properties of the surface. It is shown that one doesn't get a significant correction of the local buckling (i.e of the critical load), if residual surface stress is included into the mathematically exact theory of surface elasticity.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129132312","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342238
Yu. Rashchenko, V. Kozynchenko
The paper considers a new algorithm for training of the artificial neural network ART-1, based on simulation of a biosimilar property of short-term memory. A modified neural network is realized as a computer model, comparative testing of classical and modified networks is carried out, its results are analyzed.
{"title":"New algorithms of an artificial neural network ART-1 training","authors":"Yu. Rashchenko, V. Kozynchenko","doi":"10.1109/SCP.2015.7342238","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342238","url":null,"abstract":"The paper considers a new algorithm for training of the artificial neural network ART-1, based on simulation of a biosimilar property of short-term memory. A modified neural network is realized as a computer model, comparative testing of classical and modified networks is carried out, its results are analyzed.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115895237","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 : 2015-12-03DOI: 10.1109/SCP.2015.7342142
S. Andrianov, N. Edamenko
When designing the control systems of particle beams we should pay great attention to the problem of tolerances, ensuring availability of the system to set limits on the admissible deviations of criterion value from the optimum value. However, in the simulation process, and during operation of the accelerator we are facing with the problem of determining the actual values of function parameters characterizing the observed state of the system. Naturally, that the problem of measurement monitoring of control parameters needs to be addressed in a physical terms, which leads to the need for selection of appropriate methods for describing and solving the problem of identification. From a general point of view, the problem of identification is one of the subproblems of optimal control theory of dynamic systems. Moreover, the methods developed for the identification problems are wide application and for searching of optimal solutions. In this article we consider the basic techniques and algorithms, which can be used to solve optimization problems (including identification) of system parameters controlling of particles beams.
{"title":"Parametric identification of distributed control systems","authors":"S. Andrianov, N. Edamenko","doi":"10.1109/SCP.2015.7342142","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342142","url":null,"abstract":"When designing the control systems of particle beams we should pay great attention to the problem of tolerances, ensuring availability of the system to set limits on the admissible deviations of criterion value from the optimum value. However, in the simulation process, and during operation of the accelerator we are facing with the problem of determining the actual values of function parameters characterizing the observed state of the system. Naturally, that the problem of measurement monitoring of control parameters needs to be addressed in a physical terms, which leads to the need for selection of appropriate methods for describing and solving the problem of identification. From a general point of view, the problem of identification is one of the subproblems of optimal control theory of dynamic systems. Moreover, the methods developed for the identification problems are wide application and for searching of optimal solutions. In this article we consider the basic techniques and algorithms, which can be used to solve optimization problems (including identification) of system parameters controlling of particles beams.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"265 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123477541","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}
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