Pub Date : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1283-1300
Andrei Sergeevich Saveliev
{"title":"Two-dimensional modeling of influence on detached supersonic gas flow caused by its turning by means of rapid local heating","authors":"Andrei Sergeevich Saveliev","doi":"10.20537/2076-7633-2023-15-5-1283-1300","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1283-1300","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136200129","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1263-1282
Alexander Igorevich Lopato, Yaroslava E Poroshyna, Pavel Sergeevich Utkin
{"title":"Numerical study of the mechanisms of propagation of pulsating gaseous detonation in a non-uniform medium","authors":"Alexander Igorevich Lopato, Yaroslava E Poroshyna, Pavel Sergeevich Utkin","doi":"10.20537/2076-7633-2023-15-5-1263-1282","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1263-1282","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136198930","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1169-1187
Elizaveta Evgenievna Peskova, Valeriy Nikolaevich Snytnikov, Ruslan Viktorovich Zhalnin
{"title":"The computational algorithm for studying internal laminar flows of a multicomponent gas with different-scale chemical processes","authors":"Elizaveta Evgenievna Peskova, Valeriy Nikolaevich Snytnikov, Ruslan Viktorovich Zhalnin","doi":"10.20537/2076-7633-2023-15-5-1169-1187","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1169-1187","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136198931","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1301-1321
Evgeniya Arifzhanovna Mikishanina, Pavel Sergeevich Platonov
{"title":"Motion control by a highly maneuverable mobile robot in the task of following an object","authors":"Evgeniya Arifzhanovna Mikishanina, Pavel Sergeevich Platonov","doi":"10.20537/2076-7633-2023-15-5-1301-1321","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1301-1321","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136199189","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1359-1379
D. A. Skvortsova, Evgeny Leonidovich Chuvilgin, Andrey Valerievich Smirnov, Nikita Olegovich Romanov
{"title":"Development of a hybrid simulation model of the assembly shop","authors":"D. A. Skvortsova, Evgeny Leonidovich Chuvilgin, Andrey Valerievich Smirnov, Nikita Olegovich Romanov","doi":"10.20537/2076-7633-2023-15-5-1359-1379","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1359-1379","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136200130","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1237-1262
Daria Sergeevna Moiseeva, Evgeniy L. Stupitsky
{"title":"Physical research and numerical modeling of the lower ionosphere perturbed by powerful radio emission. Part 2. Results of numerical calculations and their analysis","authors":"Daria Sergeevna Moiseeva, Evgeniy L. Stupitsky","doi":"10.20537/2076-7633-2023-15-5-1237-1262","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1237-1262","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136199190","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1349-1358
Andrey V. Nechaevskiy, Oksana Ivanovna Streltsova, Kirill Vyacheslavovich Kulikov, Maxim Victorovich Bashashin, Yuriy Aleksandrovich Butenko, Maksim Igorevich Zuev
{"title":"Development of a computational environment for mathematical modeling of superconducting nanostructures with a magnet","authors":"Andrey V. Nechaevskiy, Oksana Ivanovna Streltsova, Kirill Vyacheslavovich Kulikov, Maxim Victorovich Bashashin, Yuriy Aleksandrovich Butenko, Maksim Igorevich Zuev","doi":"10.20537/2076-7633-2023-15-5-1349-1358","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1349-1358","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136199191","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1125-1151
Aleksandr Evgen'evich Umnov, Egor Alexandrovich Umnov
We consider a finite-dimensional optimization problem, the formulation of which in addition to the required variables contains parameters. The solution to this problem is a dependence of optimal values of variables on parameters. In general, these dependencies are not functions because they can have ambiguous meanings and in the functional case be non-differentiable. In addition, their domain of definition may be narrower than the domains of definition of functions in the condition of the original problem. All these properties make it difficult to solve both the original parametric problem and other tasks, the statement of which includes these dependencies. To overcome these difficulties, usually methods such as non-differentiable optimization are used. This article proposes an alternative approach that makes it possible to obtain solutions to parametric problems in a form devoid of the specified properties. It is shown that such representations can be explored using standard algorithms, based on the Taylor formula. This form is a function smoothly approximating the solution of the original problem for any parameter values, specified in its statement. In this case, the value of the approximation error is controlled by a special parameter. Construction of proposed approximations is performed using special functions that establish feedback (within optimality conditions for the original problem) between variables and Lagrange multipliers. This method is described for linear problems with subsequent generalization to the nonlinear case. From a computational point of view the construction of the approximation consists in finding the saddle point of the modified Lagrange function of the original problem. Moreover, this modification is performed in a special way using feedback functions. It is shown that the necessary conditions for the existence of such a saddle point are similar to the conditions of the Karush –Kuhn –Tucker theorem, but do not contain constraints such as inequalities and conditions of complementary slackness. Necessary conditions for the existence of a saddle point determine this approximation implicitly. Therefore, to calculate its differential characteristics, the implicit function theorem is used. The same theorem is used to reduce the approximation error to an acceptable level. Features of the practical implementation feedback function method, including estimates of the rate of convergence to the exact solution are demonstrated for several specific classes of parametric optimization problems. Specifically, tasks searching for the global extremum of functions of many variables and the problem of multiple extremum (maximin-minimax) are considered. Optimization problems that arise when using multicriteria mathematical models are also considered. For each of these classes, there are demo examples.
{"title":"Using feedback functions to solve parametric programming problems","authors":"Aleksandr Evgen'evich Umnov, Egor Alexandrovich Umnov","doi":"10.20537/2076-7633-2023-15-5-1125-1151","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1125-1151","url":null,"abstract":"We consider a finite-dimensional optimization problem, the formulation of which in addition to the required variables contains parameters. The solution to this problem is a dependence of optimal values of variables on parameters. In general, these dependencies are not functions because they can have ambiguous meanings and in the functional case be non-differentiable. In addition, their domain of definition may be narrower than the domains of definition of functions in the condition of the original problem. All these properties make it difficult to solve both the original parametric problem and other tasks, the statement of which includes these dependencies. To overcome these difficulties, usually methods such as non-differentiable optimization are used. This article proposes an alternative approach that makes it possible to obtain solutions to parametric problems in a form devoid of the specified properties. It is shown that such representations can be explored using standard algorithms, based on the Taylor formula. This form is a function smoothly approximating the solution of the original problem for any parameter values, specified in its statement. In this case, the value of the approximation error is controlled by a special parameter. Construction of proposed approximations is performed using special functions that establish feedback (within optimality conditions for the original problem) between variables and Lagrange multipliers. This method is described for linear problems with subsequent generalization to the nonlinear case. From a computational point of view the construction of the approximation consists in finding the saddle point of the modified Lagrange function of the original problem. Moreover, this modification is performed in a special way using feedback functions. It is shown that the necessary conditions for the existence of such a saddle point are similar to the conditions of the Karush –Kuhn –Tucker theorem, but do not contain constraints such as inequalities and conditions of complementary slackness. Necessary conditions for the existence of a saddle point determine this approximation implicitly. Therefore, to calculate its differential characteristics, the implicit function theorem is used. The same theorem is used to reduce the approximation error to an acceptable level. Features of the practical implementation feedback function method, including estimates of the rate of convergence to the exact solution are demonstrated for several specific classes of parametric optimization problems. Specifically, tasks searching for the global extremum of functions of many variables and the problem of multiple extremum (maximin-minimax) are considered. Optimization problems that arise when using multicriteria mathematical models are also considered. For each of these classes, there are demo examples.","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136199193","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1381-1393
Olga Vladimirovna Maksimova, Iozif Zinovievich Aronov
{"title":"Mathematical consensus model of loyal experts based on regular Markov chains","authors":"Olga Vladimirovna Maksimova, Iozif Zinovievich Aronov","doi":"10.20537/2076-7633-2023-15-5-1381-1393","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1381-1393","url":null,"abstract":"","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136198933","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 : 2023-10-01DOI: 10.20537/2076-7633-2023-15-5-1323-1347
Igor Vyacheslavovich Shardyko, Vladislav Markovich Kopylov, Konstantin A Volnyakov
Industrial robots have made it possible for robotics to become a worldwide discipline both in economy and in science. However, their capabilities are limited, especially regarding contact tasks where it is required to regulate or at least limit contact forces. At one point, it was noticed that elasticity in the joint transmission, which was treated as a drawback previously, is actually helpful in this regard. This observation led to the introduction of elastic joint robots that are well-suited to contact tasks and cooperative behavior in particular, so they become more and more widespread nowadays. Many researchers try to implement such devices not with trivial series elastic actuators (SEA) but with more sophisticated variable stiffness actuators (VSA) that can regulate their own mechanical stiffness. All elastic actuators demonstrate shock robustness and safe interaction with external objects to some extent, but when stiffness may be varied, it provides additional benefits, e.g., in terms of energy efficiency and task adaptability. Here, we present a novel variable stiffness actuator with a magnetic coupler as an elastic element. Magnetic transmission is contactless and thus advantageous in terms of robustness to misalignment. In addition, the friction model of the transmission becomes less complex. It also has milder stiffness characteristic than typical mechanical nonlinear springs, moreover, the stiffness curve has a maximum after which it descends. Therefore, when this maximum torque is achieved, the coupler slips, and a new pair of poles defines the equilibrium position. As a result, the risk of damage is smaller for this design solution. The design of the joint is thoroughly described, along with its mathematical model. Finally, the control system is also proposed, and simulation tests confirm the design ideas.
{"title":"Design, modeling, and control of a variable stiffness joint based on a torsional magnetic spring","authors":"Igor Vyacheslavovich Shardyko, Vladislav Markovich Kopylov, Konstantin A Volnyakov","doi":"10.20537/2076-7633-2023-15-5-1323-1347","DOIUrl":"https://doi.org/10.20537/2076-7633-2023-15-5-1323-1347","url":null,"abstract":"Industrial robots have made it possible for robotics to become a worldwide discipline both in economy and in science. However, their capabilities are limited, especially regarding contact tasks where it is required to regulate or at least limit contact forces. At one point, it was noticed that elasticity in the joint transmission, which was treated as a drawback previously, is actually helpful in this regard. This observation led to the introduction of elastic joint robots that are well-suited to contact tasks and cooperative behavior in particular, so they become more and more widespread nowadays. Many researchers try to implement such devices not with trivial series elastic actuators (SEA) but with more sophisticated variable stiffness actuators (VSA) that can regulate their own mechanical stiffness. All elastic actuators demonstrate shock robustness and safe interaction with external objects to some extent, but when stiffness may be varied, it provides additional benefits, e.g., in terms of energy efficiency and task adaptability. Here, we present a novel variable stiffness actuator with a magnetic coupler as an elastic element. Magnetic transmission is contactless and thus advantageous in terms of robustness to misalignment. In addition, the friction model of the transmission becomes less complex. It also has milder stiffness characteristic than typical mechanical nonlinear springs, moreover, the stiffness curve has a maximum after which it descends. Therefore, when this maximum torque is achieved, the coupler slips, and a new pair of poles defines the equilibrium position. As a result, the risk of damage is smaller for this design solution. The design of the joint is thoroughly described, along with its mathematical model. Finally, the control system is also proposed, and simulation tests confirm the design ideas.","PeriodicalId":37429,"journal":{"name":"Computer Research and Modeling","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136199188","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}