Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft
Genetic algorithms are used to parameter identification of the model of oscillatory processes in complicated motion transmission of electric drives containing long elastic shafts as systems of distributed mechanical parameters. Shaft equations are generated on the basis of a modified Hamilton–Ostrog...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/1/115 |
| _version_ | 1797543328138395648 |
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| author | Andriy Chaban Marek Lis Andrzej Szafraniec Radoslaw Jedynak |
| author_facet | Andriy Chaban Marek Lis Andrzej Szafraniec Radoslaw Jedynak |
| author_sort | Andriy Chaban |
| collection | DOAJ |
| description | Genetic algorithms are used to parameter identification of the model of oscillatory processes in complicated motion transmission of electric drives containing long elastic shafts as systems of distributed mechanical parameters. Shaft equations are generated on the basis of a modified Hamilton–Ostrogradski principle, which serves as the foundation to analyse the lumped parameter system and distributed parameter system. They serve to compute basic functions of analytical mechanics of velocity continuum and rotational angles of shaft elements. It is demonstrated that the application of the distributed parameter method to multi-mass rotational systems, that contain long elastic elements and complicated control systems, is not always possible. The genetic algorithm is applied to determine the coefficients of approximation the system of Rotational Transmission with Elastic Shaft by equivalent differential equations. The fitness function is determined as least-square error. The obtained results confirm that application of the genetic algorithms allow one to replace the use of a complicated distributed parameter model of mechanical system by a considerably simpler model, and to eliminate sophisticated calculation procedures and identification of boundary conditions for wave motion equations of long elastic elements. |
| first_indexed | 2024-03-10T13:43:02Z |
| format | Article |
| id | doaj.art-d7488cae183347a9b11e76d7491b6c2d |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T13:43:02Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-d7488cae183347a9b11e76d7491b6c2d2023-11-21T02:51:23ZengMDPI AGEnergies1996-10732020-12-0114111510.3390/en14010115Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long ShaftAndriy Chaban0Marek Lis1Andrzej Szafraniec2Radoslaw Jedynak3Faculty of Transport, Electrical Engineering and Computer Science, Kazimierz Pulaski University of Technology and Humanities, Malczewskiego 29, 26-600 Radom, PolandFaculty of Electrical Engineering, Czestochowa University of Technology, Al. Armii Krajowej 17, 42-201 Czestochowa, PolandFaculty of Transport, Electrical Engineering and Computer Science, Kazimierz Pulaski University of Technology and Humanities, Malczewskiego 29, 26-600 Radom, PolandFaculty of Transport, Electrical Engineering and Computer Science, Kazimierz Pulaski University of Technology and Humanities, Malczewskiego 29, 26-600 Radom, PolandGenetic algorithms are used to parameter identification of the model of oscillatory processes in complicated motion transmission of electric drives containing long elastic shafts as systems of distributed mechanical parameters. Shaft equations are generated on the basis of a modified Hamilton–Ostrogradski principle, which serves as the foundation to analyse the lumped parameter system and distributed parameter system. They serve to compute basic functions of analytical mechanics of velocity continuum and rotational angles of shaft elements. It is demonstrated that the application of the distributed parameter method to multi-mass rotational systems, that contain long elastic elements and complicated control systems, is not always possible. The genetic algorithm is applied to determine the coefficients of approximation the system of Rotational Transmission with Elastic Shaft by equivalent differential equations. The fitness function is determined as least-square error. The obtained results confirm that application of the genetic algorithms allow one to replace the use of a complicated distributed parameter model of mechanical system by a considerably simpler model, and to eliminate sophisticated calculation procedures and identification of boundary conditions for wave motion equations of long elastic elements.https://www.mdpi.com/1996-1073/14/1/115mathematical modellinggenetic algorithmlong shaft equationsHamilton–Ostrogradski principleanalytical mechanicscomputer simulation |
| spellingShingle | Andriy Chaban Marek Lis Andrzej Szafraniec Radoslaw Jedynak Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft Energies mathematical modelling genetic algorithm long shaft equations Hamilton–Ostrogradski principle analytical mechanics computer simulation |
| title | Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft |
| title_full | Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft |
| title_fullStr | Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft |
| title_full_unstemmed | Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft |
| title_short | Application of Genetic Algorithm Elements to Modelling of Rotation Processes in Motion Transmission Including a Long Shaft |
| title_sort | application of genetic algorithm elements to modelling of rotation processes in motion transmission including a long shaft |
| topic | mathematical modelling genetic algorithm long shaft equations Hamilton–Ostrogradski principle analytical mechanics computer simulation |
| url | https://www.mdpi.com/1996-1073/14/1/115 |
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