Abstract
This study investigates the rider stability on a stand-up paddle board (SUP) based on board dimensions, rider body parameters, and skill level using a buoyant body dynamics approach. For this study, the system of a rider standing on an SUP is modeled as a planar motion of a rectangular cross-sectional buoyant body with an added mass attached at a fixed height. A stability map is developed to visualize stability regions for various system parameters. The result shows that eigenvalue contours are in good agreement with qualitative terms, such as beginner and professional. A new approach of describing rider skill level is proposed. Wave tank experiments are conducted to verify the analytic equations. Analytical results of the rectangular board show the same trend as the experimental results from a real SUP product.
Similar content being viewed by others
References
Fish FE (2002) Balancing requirements for stability and maneuverability in cetaceans. Integr Compar Biol 42(1):85–93
Fish FE, Hurley J, Costa DP (2003) Maneuverability by the sea lion zalophus californianus: turning performance of an unstable body design. J Exp Biol 206(4):667–674
Delbourgo R (1987) The floating plank. Am J Phys 55(9):799–802
Sequeira D, Wang XS, Mann B (2017) On the manifestation of coexisting nontrivial equilibria leading to potential well escapes in an inhomogeneous floating body. Phys D: Nonlinear Phenomena
Nakashima M, Kitazawa A, Nakagaki K, Onoto N (2017) Simulation to clarify the effect of paddling motion on the hull behavior of a single kayak in a sprint race. Sports Eng 20(2):133–139
Nessler JA, Frazee T, Newcomer SC (2018) The effect of foil on paddling efficiency in a short surfboard. Sports Eng 21(1):11–19
Carswell D, Lavery N, Brown S (2006) Computational modelling of surfboard fins for enhanced performance. In: The Engineering of Sport 6, Springer, pp 425–430
Gudimetla P, Kelson N, El-Atm B (2009) Analysis of the hydrodynamic performance of three-and four-fin surfboards using computational fluid dynamics. Aust J Mech Eng 7(1):61–67
EasyKayaks (2018) AKUA SUP size calculator. http://www.akua.com.au/. Accessed 02 Jan 2018
StandUpPaddleBoardsReview (2017) What size paddle board do I need for my weight and height? https://www.standuppaddleboardsreview.com/what-size-paddle-board-do-i-need-for-my-weight-and-height2/. Accessed 02 Jan 2018
BluePlanetSurf (2014) SUP board volume and floatation vs. body weight explained. https://blueplanetsurf.com/news/sup-board-volume-and-floatation-vs-body-weight-explained/. Accessed 02 Jan 2018
Winter DA (1995) Human balance and posture control during standing and walking. Gait Post 3(4):193–214
Granata KP, Lockhart TE (2008) Dynamic stability differences in fall-prone and healthy adults. J Electromyogr Kinesiol 18(2):172–178
Vugts J (1968) The hydrodynamic coefficients for swaying, heaving and rolling cylinders in a free surface. Tech. rep
Bonfiglio L, Brizzolara S, Chryssostomidis C (2011) Added mass and damping of oscillating bodies: a fully viscous numerical approach. Recent Adv Fluid Mech Heat Mass Transfer Biol 210–215
Erdmann WS (1999) Geometry and inertia of the human body-review of research. Acta Bioeng Biomech 1(1):23–35
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, HJ., Sequeira, D. & Mann, B.P. Stability of coupled human and stand-up paddle board. Sports Eng 21, 429–440 (2018). https://doi.org/10.1007/s12283-018-0289-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12283-018-0289-7