On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical Approaches
This article presents a comparison between layered models of a railway track. All analyses are based on semianalytical approaches to show how powerful they can be. Results are presented in dimensionless form, making them applicable to a wide range of possible real-world scenarios. The main results a...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Vibration |
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| Online Access: | https://www.mdpi.com/2571-631X/6/1/9 |
| _version_ | 1827747372230246400 |
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| author | Zuzana Dimitrovová |
| author_facet | Zuzana Dimitrovová |
| author_sort | Zuzana Dimitrovová |
| collection | DOAJ |
| description | This article presents a comparison between layered models of a railway track. All analyses are based on semianalytical approaches to show how powerful they can be. Results are presented in dimensionless form, making them applicable to a wide range of possible real-world scenarios. The main results and conclusions are obtained using repeated exact calculations of the equivalent flexibility of supporting structure related to each model by contour integration. New terms and a fundamentally different approach with respect to other published works underline the scientific contribution to this field. Semianalytical methods demonstrate that the intended results can be obtained easily and accurately. However, this benefit cannot be extended to a large number of models due to the simplifications that must be introduced in order to apply such methods. It turns out that even though the one-layer model is the furthest away from reality, it is easy to handle analytically because it has a regular and predictable behavior. The three-layer model, on the other hand, has many unpredictable properties that will be detailed in this article. |
| first_indexed | 2024-03-11T05:47:30Z |
| format | Article |
| id | doaj.art-ca48e02ea6464bdd9597393e01c42fb6 |
| institution | Directory Open Access Journal |
| issn | 2571-631X |
| language | English |
| last_indexed | 2024-03-11T05:47:30Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Vibration |
| spelling | doaj.art-ca48e02ea6464bdd9597393e01c42fb62023-11-17T14:21:20ZengMDPI AGVibration2571-631X2023-01-016111314610.3390/vibration6010009On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical ApproachesZuzana Dimitrovová0Department of Civil Engineering, NOVA School of Science and Technology, Universidade NOVA de Lisboa, 1099-085 Lisboa, PortugalThis article presents a comparison between layered models of a railway track. All analyses are based on semianalytical approaches to show how powerful they can be. Results are presented in dimensionless form, making them applicable to a wide range of possible real-world scenarios. The main results and conclusions are obtained using repeated exact calculations of the equivalent flexibility of supporting structure related to each model by contour integration. New terms and a fundamentally different approach with respect to other published works underline the scientific contribution to this field. Semianalytical methods demonstrate that the intended results can be obtained easily and accurately. However, this benefit cannot be extended to a large number of models due to the simplifications that must be introduced in order to apply such methods. It turns out that even though the one-layer model is the furthest away from reality, it is easy to handle analytically because it has a regular and predictable behavior. The three-layer model, on the other hand, has many unpredictable properties that will be detailed in this article.https://www.mdpi.com/2571-631X/6/1/9layered models of railway tracksemianalytical methodscontour integrationintegral transformscritical velocityonset of instability |
| spellingShingle | Zuzana Dimitrovová On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical Approaches Vibration layered models of railway track semianalytical methods contour integration integral transforms critical velocity onset of instability |
| title | On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical Approaches |
| title_full | On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical Approaches |
| title_fullStr | On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical Approaches |
| title_full_unstemmed | On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical Approaches |
| title_short | On the Critical Velocity of Moving Force and Instability of Moving Mass in Layered Railway Track Models by Semianalytical Approaches |
| title_sort | on the critical velocity of moving force and instability of moving mass in layered railway track models by semianalytical approaches |
| topic | layered models of railway track semianalytical methods contour integration integral transforms critical velocity onset of instability |
| url | https://www.mdpi.com/2571-631X/6/1/9 |
| work_keys_str_mv | AT zuzanadimitrovova onthecriticalvelocityofmovingforceandinstabilityofmovingmassinlayeredrailwaytrackmodelsbysemianalyticalapproaches |