Burst Oscillations in the Accelerating Bicycle
The purpose of this paper is to study the dynamics of the accelerating bicycle. It is shown that time-scale separation can be used to study the oscillatory characteristics of the accelerating machine using time-invariant models. These models are used to explain practically observed wobble-mode burst...
| Main Authors: | , |
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| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
2010
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| _version_ | 1826301785926533120 |
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| author | Limebeer, D Sharma, A |
| author_facet | Limebeer, D Sharma, A |
| author_sort | Limebeer, D |
| collection | OXFORD |
| description | The purpose of this paper is to study the dynamics of the accelerating bicycle. It is shown that time-scale separation can be used to study the oscillatory characteristics of the accelerating machine using time-invariant models. These models are used to explain practically observed wobble-mode bursting oscillations that are associated most frequently with down-hill riding. If the vehicle is cornering under constant acceleration, at a fixed roll angle, it is shown that for low values of acceleration (and braking), it follows closely a logarithmic spiral shaped trajectory. The studies presented are facilitated by a novel adaptive control scheme that centers the machine's trajectory on any arbitrary point in the ground plane. The influences of cambered road surfaces are also investigated. The bicycle model employed is an extension of that originally developed by Whipple, and comprises two road wheels and two laterally-symmetric frame assemblies that are free to rotate relative to each other along an inclined steering axis. For the most part, the front frame is treated as being flexible and the bicycle is fitted with force generating road tires, rather than classical nonholonomic rolling constraints. This research provides the ground work required for generating more complex dynamic models for high-performance motorcycle studies. © 2010 American Society of Mechanical Engineers. |
| first_indexed | 2024-03-07T05:37:37Z |
| format | Journal article |
| id | oxford-uuid:e4759775-4f22-42ef-aacb-0167fba4f59e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:37:37Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:e4759775-4f22-42ef-aacb-0167fba4f59e2022-03-27T10:16:44ZBurst Oscillations in the Accelerating BicycleJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e4759775-4f22-42ef-aacb-0167fba4f59eEnglishSymplectic Elements at Oxford2010Limebeer, DSharma, AThe purpose of this paper is to study the dynamics of the accelerating bicycle. It is shown that time-scale separation can be used to study the oscillatory characteristics of the accelerating machine using time-invariant models. These models are used to explain practically observed wobble-mode bursting oscillations that are associated most frequently with down-hill riding. If the vehicle is cornering under constant acceleration, at a fixed roll angle, it is shown that for low values of acceleration (and braking), it follows closely a logarithmic spiral shaped trajectory. The studies presented are facilitated by a novel adaptive control scheme that centers the machine's trajectory on any arbitrary point in the ground plane. The influences of cambered road surfaces are also investigated. The bicycle model employed is an extension of that originally developed by Whipple, and comprises two road wheels and two laterally-symmetric frame assemblies that are free to rotate relative to each other along an inclined steering axis. For the most part, the front frame is treated as being flexible and the bicycle is fitted with force generating road tires, rather than classical nonholonomic rolling constraints. This research provides the ground work required for generating more complex dynamic models for high-performance motorcycle studies. © 2010 American Society of Mechanical Engineers. |
| spellingShingle | Limebeer, D Sharma, A Burst Oscillations in the Accelerating Bicycle |
| title | Burst Oscillations in the Accelerating Bicycle |
| title_full | Burst Oscillations in the Accelerating Bicycle |
| title_fullStr | Burst Oscillations in the Accelerating Bicycle |
| title_full_unstemmed | Burst Oscillations in the Accelerating Bicycle |
| title_short | Burst Oscillations in the Accelerating Bicycle |
| title_sort | burst oscillations in the accelerating bicycle |
| work_keys_str_mv | AT limebeerd burstoscillationsintheacceleratingbicycle AT sharmaa burstoscillationsintheacceleratingbicycle |