Mechanical Optimization of Skateboard Pumping
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916160852721664 |
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| author | Kogelbauer, Florian Koyama, Shinsuke Callan, Daniel E. Shinomoto, Shigeru |
| author_facet | Kogelbauer, Florian Koyama, Shinsuke Callan, Daniel E. Shinomoto, Shigeru |
| contents | Skateboarders perform a reciprocating motion on a curved ramp, called pumping, by moving their bodies up and down perpendicular to the ramp's surface. We propose a simple mechanical model for this pumping motion and solve the equation of motion explicitly in angular coordinates. This allows us to derive an optimal control strategy to maximize amplitude by dynamically adjusting the center of mass of the skateboarder. This optimal strategy is compared to experimental results for the motion of a skilled and an unskilled skateboarder in a half-pipe, validating that a skilled skateboarder follows the optimal control strategy more closely. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17671 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mechanical Optimization of Skateboard Pumping Kogelbauer, Florian Koyama, Shinsuke Callan, Daniel E. Shinomoto, Shigeru Classical Physics Popular Physics Skateboarders perform a reciprocating motion on a curved ramp, called pumping, by moving their bodies up and down perpendicular to the ramp's surface. We propose a simple mechanical model for this pumping motion and solve the equation of motion explicitly in angular coordinates. This allows us to derive an optimal control strategy to maximize amplitude by dynamically adjusting the center of mass of the skateboarder. This optimal strategy is compared to experimental results for the motion of a skilled and an unskilled skateboarder in a half-pipe, validating that a skilled skateboarder follows the optimal control strategy more closely. |
| title | Mechanical Optimization of Skateboard Pumping |
| topic | Classical Physics Popular Physics |
| url | https://arxiv.org/abs/2312.17671 |