Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis
Abstract This study explores the inherent nonlinearity of quarter car models by employing an experimental and numerical approach. The dynamics of vehicular suspension systems are pivotal for ensuring passenger comfort, vehicle stability, and overall ride quality. In this paper we assessed the impact...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-05-01
|
| Series: | Scientific Reports |
| Subjects: | |
| Online Access: | https://doi.org/10.1038/s41598-024-63139-z |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841544564131758080 |
|---|---|
| author | Tadios Molla Prakash Duraisamy Karthikeyan Rajagopal Anitha Karthikeyan Salah Boulaaras |
| author_facet | Tadios Molla Prakash Duraisamy Karthikeyan Rajagopal Anitha Karthikeyan Salah Boulaaras |
| author_sort | Tadios Molla |
| collection | DOAJ |
| description | Abstract This study explores the inherent nonlinearity of quarter car models by employing an experimental and numerical approach. The dynamics of vehicular suspension systems are pivotal for ensuring passenger comfort, vehicle stability, and overall ride quality. In this paper we assessed the impact of various parameters and components on suspension performance, enabled the optimization of ride comfort, stability, and handling characteristics. Firstly, experimental analysis allowed for the investigation of factors that are challenging to model theoretically, such as stiffness nonlinearity and damping characteristics, which may vary under different operating conditions. Time domain and frequency response diagram of the model has been obtained. Secondly, a quarter-car with single degree-of-freedom presented and investigated in fractional order form. Fractional order dynamics emphasize nonlinearities in quarter car models, capturing real-world dynamics effectively. The proposed fractional-order nonlinear quarter car model employed Caputo derivative. For numerical analysis of fractional order system, the Adam–Bashforth–Moulton method is used and the disturbance of road assumed to be stochastic. Results show that the dynamic response of the vehicle can be chaotic. Influence of road roughness amplitude and frequency on vehicle vibration is investigated. |
| format | Article |
| id | doaj-art-1506e3ada24845d2b4161bca530581b0 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-1506e3ada24845d2b4161bca530581b02025-01-12T12:25:07ZengNature PortfolioScientific Reports2045-23222024-05-0114111510.1038/s41598-024-63139-zExploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysisTadios Molla0Prakash Duraisamy1Karthikeyan Rajagopal2Anitha Karthikeyan3Salah Boulaaras4Production Engineering Department, College of Engineering, Defence UniversityCentre for Nonlinear Systems, Chennai Institute of TechnologyCentre for Nonlinear Systems, Chennai Institute of TechnologyDepartment of Electronics and Communication Engineering, Vemu Institute of TechnologyDepartment of Mathematics, College of Sciences, Qassim UniversityAbstract This study explores the inherent nonlinearity of quarter car models by employing an experimental and numerical approach. The dynamics of vehicular suspension systems are pivotal for ensuring passenger comfort, vehicle stability, and overall ride quality. In this paper we assessed the impact of various parameters and components on suspension performance, enabled the optimization of ride comfort, stability, and handling characteristics. Firstly, experimental analysis allowed for the investigation of factors that are challenging to model theoretically, such as stiffness nonlinearity and damping characteristics, which may vary under different operating conditions. Time domain and frequency response diagram of the model has been obtained. Secondly, a quarter-car with single degree-of-freedom presented and investigated in fractional order form. Fractional order dynamics emphasize nonlinearities in quarter car models, capturing real-world dynamics effectively. The proposed fractional-order nonlinear quarter car model employed Caputo derivative. For numerical analysis of fractional order system, the Adam–Bashforth–Moulton method is used and the disturbance of road assumed to be stochastic. Results show that the dynamic response of the vehicle can be chaotic. Influence of road roughness amplitude and frequency on vehicle vibration is investigated.https://doi.org/10.1038/s41598-024-63139-zNonlinear quarter car modelStochastic excitationAdam–Bashforth–Moulton methodDynamical analysisNonlinear equations |
| spellingShingle | Tadios Molla Prakash Duraisamy Karthikeyan Rajagopal Anitha Karthikeyan Salah Boulaaras Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis Scientific Reports Nonlinear quarter car model Stochastic excitation Adam–Bashforth–Moulton method Dynamical analysis Nonlinear equations |
| title | Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis |
| title_full | Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis |
| title_fullStr | Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis |
| title_full_unstemmed | Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis |
| title_short | Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis |
| title_sort | exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis |
| topic | Nonlinear quarter car model Stochastic excitation Adam–Bashforth–Moulton method Dynamical analysis Nonlinear equations |
| url | https://doi.org/10.1038/s41598-024-63139-z |
| work_keys_str_mv | AT tadiosmolla exploringnonlinearityinquartercarmodelswithanexperimentalapproachtoformulatingfractionalorderformanditsdynamicanalysis AT prakashduraisamy exploringnonlinearityinquartercarmodelswithanexperimentalapproachtoformulatingfractionalorderformanditsdynamicanalysis AT karthikeyanrajagopal exploringnonlinearityinquartercarmodelswithanexperimentalapproachtoformulatingfractionalorderformanditsdynamicanalysis AT anithakarthikeyan exploringnonlinearityinquartercarmodelswithanexperimentalapproachtoformulatingfractionalorderformanditsdynamicanalysis AT salahboulaaras exploringnonlinearityinquartercarmodelswithanexperimentalapproachtoformulatingfractionalorderformanditsdynamicanalysis |