Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve Squeal
Curve squeal is a highly disturbing tonal noise produced by railway vehicles on tight curves, primarily attributed to lateral sliding at the wheel–rail interface. An essential step to estimate curve squeal noise levels is to determine the nonlinear self-sustained vibrations, for which time integrati...
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MDPI AG
2025-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/2/509 |
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| author | Jacobo Arango Montoya Olivier Chiello Jean-Jacques Sinou Rita Tufano |
| author_facet | Jacobo Arango Montoya Olivier Chiello Jean-Jacques Sinou Rita Tufano |
| author_sort | Jacobo Arango Montoya |
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| description | Curve squeal is a highly disturbing tonal noise produced by railway vehicles on tight curves, primarily attributed to lateral sliding at the wheel–rail interface. An essential step to estimate curve squeal noise levels is to determine the nonlinear self-sustained vibrations, for which time integration is a commonly used method. However, although it is known that the initial conditions affect the solutions obtained with time integration, their impact on the limit cycles is often overlooked. This study investigates this aspect for a curve squeal model based on falling friction and a modal reduction of the wheel and provides some insights on the mode competition phenomena and the nature of the final limit cycles obtained. The paper first details the curve squeal model, stability analysis, as well as the initial condition derivation, and then discusses the time integration and limit cycle results in both time and frequency domains. The results reveal two primary families of limit cycles that can be obtained for both types of initial conditions. The cases where stationary vibrations result in a quasi-periodic regime converge to a unique limit cycle which displays three fundamental frequencies corresponding to specific wheel modes, plus harmonic interactions among them. |
| format | Article |
| id | doaj-art-e7e7e9b74dbe4be4ab51011d79e0ff67 |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-e7e7e9b74dbe4be4ab51011d79e0ff672025-01-24T13:19:37ZengMDPI AGApplied Sciences2076-34172025-01-0115250910.3390/app15020509Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve SquealJacobo Arango Montoya0Olivier Chiello1Jean-Jacques Sinou2Rita Tufano3Vibratec, Railway Business Unit, 28 Chemin du Petit Bois, 69131 Ecully Cedex, FranceUniv Gustave Eiffel, CEREMA, Univ Lyon, UMRAE, F-69675 Lyon, FranceLaboratoire de Tribologie et Dynamique des Systèmes (LTDS), UMR 5513, Ecole Centrale Lyon, 36 Avenue Guy de Collongue, 69134 Ecully, FranceVibratec, Railway Business Unit, 28 Chemin du Petit Bois, 69131 Ecully Cedex, FranceCurve squeal is a highly disturbing tonal noise produced by railway vehicles on tight curves, primarily attributed to lateral sliding at the wheel–rail interface. An essential step to estimate curve squeal noise levels is to determine the nonlinear self-sustained vibrations, for which time integration is a commonly used method. However, although it is known that the initial conditions affect the solutions obtained with time integration, their impact on the limit cycles is often overlooked. This study investigates this aspect for a curve squeal model based on falling friction and a modal reduction of the wheel and provides some insights on the mode competition phenomena and the nature of the final limit cycles obtained. The paper first details the curve squeal model, stability analysis, as well as the initial condition derivation, and then discusses the time integration and limit cycle results in both time and frequency domains. The results reveal two primary families of limit cycles that can be obtained for both types of initial conditions. The cases where stationary vibrations result in a quasi-periodic regime converge to a unique limit cycle which displays three fundamental frequencies corresponding to specific wheel modes, plus harmonic interactions among them.https://www.mdpi.com/2076-3417/15/2/509railway noisecurve squealfriction-induced vibrationsnonlinear vibrationsstability analysistime integration |
| spellingShingle | Jacobo Arango Montoya Olivier Chiello Jean-Jacques Sinou Rita Tufano Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve Squeal Applied Sciences railway noise curve squeal friction-induced vibrations nonlinear vibrations stability analysis time integration |
| title | Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve Squeal |
| title_full | Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve Squeal |
| title_fullStr | Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve Squeal |
| title_full_unstemmed | Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve Squeal |
| title_short | Mode Competition Phenomena and Impact of the Initial Conditions in Nonlinear Vibrations Leading to Railway Curve Squeal |
| title_sort | mode competition phenomena and impact of the initial conditions in nonlinear vibrations leading to railway curve squeal |
| topic | railway noise curve squeal friction-induced vibrations nonlinear vibrations stability analysis time integration |
| url | https://www.mdpi.com/2076-3417/15/2/509 |
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